{"id":6503,"date":"2026-05-04T12:51:20","date_gmt":"2026-05-04T09:51:20","guid":{"rendered":"https:\/\/publish.kpi.ua\/?page_id=6503"},"modified":"2026-09-18T10:18:24","modified_gmt":"2026-09-18T07:18:24","slug":"mechanics-and-advanced-technologies","status":"publish","type":"page","link":"https:\/\/publish.kpi.ua\/en\/mechanics-and-advanced-technologies\/","title":{"rendered":"Mechanics and Advanced Technologies"},"content":{"rendered":"<div id=\"fws_6ab68e172a650\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div class=\"img-with-aniamtion-wrap center\" data-max-width=\"100%\" data-max-width-mobile=\"default\" data-shadow=\"none\" data-animation=\"none\" >\n      <div class=\"inner\">\n        <div class=\"hover-wrap\"> \n          <div class=\"hover-wrap-inner\">\n            <a href=\"https:\/\/visnykpb.kpi.ua\/\" target=\"_blank\" class=\"center\">\n              <img loading=\"lazy\" decoding=\"async\" class=\"img-with-animation skip-lazy\" data-delay=\"0\" height=\"1153\" width=\"864\" data-animation=\"none\" src=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover_mechanics-and-advanced-technologies-journal.jpg\" alt=\"\u041e\u0431\u043a\u043b\u0430\u0434\u0438\u043d\u043a\u0430 \u043d\u0430\u0443\u043a\u043e\u0432\u043e\u0433\u043e \u0436\u0443\u0440\u043d\u0430\u043b\u0443 Mechanics and Advanced Technologies \u2014 \u0444\u0430\u0445\u043e\u0432\u0435 \u0432\u0438\u0434\u0430\u043d\u043d\u044f Sikorsky Academic Press \u043f\u0440\u043e \u043c\u0435\u0445\u0430\u043d\u0456\u043a\u0443 \u0442\u0430 \u0441\u0443\u0447\u0430\u0441\u043d\u0456 \u043c\u0430\u0448\u0438\u043d\u043e\u0431\u0443\u0434\u0456\u0432\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457. Cover of Mechanics and Advanced Technologies journal\" srcset=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover_mechanics-and-advanced-technologies-journal.jpg 864w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover_mechanics-and-advanced-technologies-journal-640x854.jpg 640w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover_mechanics-and-advanced-technologies-journal-768x1025.jpg 768w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover_mechanics-and-advanced-technologies-journal-9x12.jpg 9w\" sizes=\"auto, (max-width: 864px) 100vw, 864px\" \/>\n            <\/a>\n          <\/div>\n        <\/div>\n      <\/div>\n      <\/div><a class=\"nectar-button large regular accent-color  regular-button\"  rel=\"nofollow noopener\" role=\"button\" style=\"\" target=\"_blank\" href=\"https:\/\/journal.mmi.kpi.ua\/about\/submissions\" data-color-override=\"false\" data-hover-color-override=\"false\" data-hover-text-color-override=\"#fff\"><span>Submit an article<\/span><\/a><a class=\"nectar-button large see-through accent-color has-icon\"  rel=\"nofollow noopener\" role=\"button\" style=\"\" target=\"_blank\" href=\"https:\/\/journal.mmi.kpi.ua\/issue\/archive\" data-color-override=\"false\" data-hover-color-override=\"false\" data-hover-text-color-override=\"#fff\"><span>Publication Archive<\/span><i  class=\"fa fa-external-link\"><\/i><\/a><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; width: 20%; height: 1px; margin-bottom: 12.5px;\" data-width=\"20%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-small-border\"><\/div><\/div><h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >website:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/journal.mmi.kpi.ua\/\" target=\"_blank\" rel=\"nofollow noopener\">journal.mmi.kpi.ua<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-9 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h1 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Mechanics and Advanced Technologies<\/h1><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div><h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Focus and Scope<\/h2>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>The international scientific and technical journal \"Mechanics and Advanced Technologies\" covers the following subject areas:<\/p>\n<ul>\n<li><strong>Mechanics.<\/strong> This section is devoted to scientific and practical problems in the mechanics of deformable solids, the dynamics and strength of machines, biomechanics, pressure processing, applied hydro- and aeromechanics, and industrial hydraulics.<\/li>\n<li><strong>Advanced Engineering Techniques and Technologies.<\/strong> This section is devoted to scientific and practical issues related to improving methods for calculating and designing mechanical engineering components, automation and robotization in mechanical engineering, and the development and implementation of advanced technologies and machines for mechanical and physical-technical processing of materials, as well as welding.<\/li>\n<li><strong>Aerospace Systems and Technologies.<\/strong> This section is devoted to scientific and practical issues related to the development and implementation of technologies and processes in project management, quality management systems, certification, standardization, recycling technologies in knowledge-intensive mechanical engineering, advanced materials, as well as issues in the development, design, and production of aerospace systems and the advancement of educational technologies.<\/li>\n<\/ul>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab68e172c86e\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >General information:<\/h2><div id=\"fws_6ab68e172d045\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >ISSN:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/portal.issn.org\/resource\/ISSN\/2522-4255\" target=\"_blank\" rel=\"nofollow noopener\">2522-4255<\/a> (online)<br \/>\n<a href=\"https:\/\/portal.issn.org\/resource\/ISSN\/2521-1943\">2521-1943<\/a> (print)<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Periodicity:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>Quarterly<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Publication fee:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>Information is being updated<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/journal.mmi.kpi.ua\/about\/submissions\">Guidelines for Authors<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab68e172eaa1\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-8 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >About the journal:<\/h2>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>The journal \"Mechanics and Advanced Technologies\" is a peer-reviewed open-access scientific publication founded by the National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute.\u201d The journal carries on the traditions of the KPI School of Mechanics and offers authors the opportunity to publish their research in both Ukrainian and English. The journal adheres to international standards of transparency and academic integrity.<\/p>\n<p>The editorial policy is based on the principles of open science, allowing readers to read, download, and cite materials free of charge immediately upon publication. The article selection process includes a thorough peer review, ensuring the objectivity and high scientific value of the content. The journal is included in the list of professional publications in Ukraine and is actively integrated into global scientometric databases.<\/p>\n<p>In partnership with Sikorsky Academic Press, each article is assigned a unique DOI. This ensures the long-term availability of publications in the global academic community and makes it easier for international researchers to locate them. The editorial board is constantly working to expand the journal\u2019s audience and enhance its prestige within the community of mechanical engineers and scientists.<\/p>\n\t<\/div>\n<\/div>\n\n\n\n<div id=\"fws_6ab68e172f29d\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Indexing:<\/h3>\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-9 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/doaj.org\/toc\/2522-4255\" target=\"_blank\" rel=\"nofollow noopener\">DOAJ<\/a> | <a href=\"https:\/\/scholar.google.com\/\" target=\"_blank\" rel=\"nofollow noopener\">Google Scholar<\/a> | <a href=\"https:\/\/search.worldcat.org\/search?q=Mechanics+and+Advanced+Technologies&amp;offset=1\" target=\"_blank\" rel=\"nofollow noopener\">WorldCat<\/a> | <a href=\"https:\/\/ouci.dntb.gov.ua\/?journal=2521-1943\" target=\"_blank\" rel=\"nofollow noopener\">OUCI<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-4 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div id=\"fws_6ab68e173001c\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-8 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Editor-in-Chief<\/h3><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; width: 20%; height: 1px; margin-bottom: 12.5px;\" data-width=\"20%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-small-border\"><\/div><\/div>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><strong>Mykola Ivanovych Bobir<\/strong>, Academician of the National Academy of Sciences of Ukraine, Doctor of Technical Sciences, Professor, Igor Sikorsky Kyiv Polytechnic Institute. Key areas of expertise: mechanics of deformable solids, structural strength and durability, and strength of materials.<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-4 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div class=\"img-with-aniamtion-wrap center custom-size\" data-max-width=\"100%\" data-max-width-mobile=\"default\" data-shadow=\"none\" data-animation=\"none\" >\n      <div class=\"inner\">\n        <div class=\"hover-wrap\"> \n          <div class=\"hover-wrap-inner\">\n            <img loading=\"lazy\" decoding=\"async\" class=\"img-with-animation skip-lazy\" data-delay=\"0\" height=\"160\" width=\"160\" data-animation=\"none\" src=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/bobyr_mykola-160x160.jpg\" alt=\"\" srcset=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/bobyr_mykola-160x160.jpg 160w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/bobyr_mykola-11x12.jpg 11w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/bobyr_mykola-140x140.jpg 140w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/bobyr_mykola-100x100.jpg 100w\" sizes=\"auto, (max-width: 160px) 100vw, 160px\" \/>\n          <\/div>\n        <\/div>\n      <\/div>\n    <\/div>\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab68e173126f\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab68e1731a7c\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Popular Articles:<\/h2>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab68e173229b\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\n    <div class=\"row blog-recent columns-1\" data-style=\"minimal\" data-color-scheme=\"light\" data-remove-post-date=\"\" data-remove-post-author=\"\" data-remove-post-comment-number=\"\" data-remove-post-nectar-love=\"\">\n\n      \n      <div class=\"col span_12 post-6745 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-cqrs tag-event-sourcing-comparative-analysis tag-optimisation-models tag-software-architecture\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/engineering-of-software-systems-based-on-snapshot-centric-cqrs-with-event-sourcing-architecture\/\"  aria-label=\"Engineering of software systems based on snapshot-centric CQRS with event sourcing architecture\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 29.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Engineering of software systems based on snapshot-centric CQRS with event sourcing architecture<\/h3>\n            <\/div>\n            <div class=\"excerpt\">This article introduces \"mCQRS,\" an optimized variation of the Command Query Responsibility Segregation (CQRS) with Event Sourcing architecture. The proposed approach significantly reduces development and maintenance complexity by utilizing aggregate&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6741 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-elektrozmochuvani-variolinzy tag-zsuvy-kardynalnykh-tochok-variolinz tag-kardynalni-tochky-variolinz tag-membranni-variolinzy\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/variolinzy-yak-nerukhomi-elementy-zoom-optychnykh-system\/\"  aria-label=\"Vario lenses as fixed elements of Zoom optical systems\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 22.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Vario lenses as fixed elements of Zoom optical systems<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0443\u0454\u0442\u044c\u0441\u044f \u043c\u043e\u0434\u0435\u0440\u043d\u0456\u0437\u0430\u0446\u0456\u044f zoom-\u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u0438\u0445 \u0432\u0430\u0440\u0456\u043e\u043b\u0456\u043d\u0437. \u0410\u0432\u0442\u043e\u0440\u0438 \u0434\u043e\u0432\u043e\u0434\u044f\u0442\u044c, \u0449\u043e \u0437\u043c\u0456\u043d\u0430 \u043e\u043f\u0442\u0438\u0447\u043d\u043e\u0457 \u0441\u0438\u043b\u0438 \u0442\u0430\u043a\u0438\u0445 \u043b\u0456\u043d\u0437 \u043d\u0435\u043c\u0438\u043d\u0443\u0447\u0435 \u0432\u0438\u043a\u043b\u0438\u043a\u0430\u0454 \u0437\u0441\u0443\u0432 \u0457\u0445\u043d\u0456\u0445 \u043a\u0430\u0440\u0434\u0438\u043d\u0430\u043b\u044c\u043d\u0438\u0445 \u0442\u043e\u0447\u043e\u043a, \u0442\u043e\u043c\u0443 \u0457\u0445 \u043d\u0435 \u043c\u043e\u0436\u043d\u0430 \u0432\u0432\u0430\u0436\u0430\u0442\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6739 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-avtomatyzovani-systemy tag-adaptyvne-keruvannya tag-asfaltobeton tag-zamknena-systema tag-neyronni-merezhi tag-prohnozuvannya-yakosti tag-shtuchnyy-intelekt\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/intelektualna-systema-adaptyvnoho-keruvannya-tekhnolohichnym-protsesom-ukladannya-asfaltobetonu-na-osnovi-neyromerezhevykh-modeley\/\"  aria-label=\"Intelligent system for adaptive control of the technological process of laying asphalt concrete based on neural network models\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 15.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Intelligent system for adaptive control of the technological process of laying asphalt concrete based on neural network models<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u0440\u043e \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043d\u043e\u0432\u0456\u0442\u043d\u044c\u043e\u0457 \u0456\u043d\u0442\u0435\u043b\u0435\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u043a\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u043f\u0440\u043e\u0446\u0435\u0441\u043e\u043c \u0443\u043a\u043b\u0430\u0434\u0430\u043d\u043d\u044f \u0430\u0441\u0444\u0430\u043b\u044c\u0442\u043e\u0431\u0435\u0442\u043e\u043d\u0443. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043c\u0435\u0442\u043e\u0434\u0456\u0432 \u043c\u0430\u0448\u0438\u043d\u043d\u043e\u0433\u043e \u043d\u0430\u0432\u0447\u0430\u043d\u043d\u044f \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u043f\u0440\u043e\u0430\u043a\u0442\u0438\u0432\u043d\u043e \u043c\u0456\u043d\u0456\u043c\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u0432\u043f\u043b\u0438\u0432 \u043f\u043e\u0433\u043e\u0434\u043d\u0438\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0456\u0432 \u043d\u0430 \u044f\u043a\u0456\u0441\u0442\u044c \u0434\u043e\u0440\u043e\u0436\u043d\u044c\u043e\u0433\u043e \u043f\u043e\u043a\u0440\u0438\u0442\u0442\u044f \u0442\u0430 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e \u0437\u0430\u043f\u043e\u0431\u0456\u0433\u0430\u0442\u0438 \u043f\u043e\u044f\u0432\u0456&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6735 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-dynamichnist tag-entropiyna-strukturovanist tag-entropiya tag-matrytsya-sumizhnosti tag-multysharova-merezha-vzayemodiy tag-polikomponentnist tag-skladna-systema\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/metod-analizu-polikomponentnykh-skladnykh-system-na-osnovi-bahatovymirnykh-matryts-sumizhnosti-ta-entropiynykh-vidnoshen-mizh-komponentamy-systemy\/\"  aria-label=\"A  method  for  analyzing  multicomponent  complex  systems  based  on  multidimensional  matrices of adjacency and entropy relations between system components\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 10.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">A  method  for  analyzing  multicomponent  complex  systems  based  on  multidimensional  matrices of adjacency and entropy relations between system components<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u043d\u043e\u0432\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0441\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u043f\u043e\u043b\u0456\u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0457\u0445\u043d\u0456\u0445 \u0442\u0435\u0440\u043c\u043e\u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0442\u0430 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0431\u0430\u0433\u0430\u0442\u043e\u0432\u0438\u043c\u0456\u0440\u043d\u0438\u0445 \u0435\u043d\u0442\u0440\u043e\u043f\u0456\u0439\u043d\u0438\u0445 \u043c\u0430\u0442\u0440\u0438\u0446\u044c \u0441\u0443\u043c\u0456\u0436\u043d\u043e\u0441\u0442\u0456 \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e \u043e\u0446\u0456\u043d\u044e\u0432\u0430\u0442\u0438 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u0456, \u0444\u0456\u0437\u0438\u043a\u043e-\u0445\u0456\u043c\u0456\u0447\u043d\u0456 \u0442\u0430 \u0456\u043d\u0448\u0456 \u0432\u043b\u0430\u0441\u0442\u0438\u0432\u043e\u0441\u0442\u0456 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6733 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-bankruptcy-prediction tag-dynamic-modeling tag-early-warning-system tag-financial-ratios tag-l2-regularization tag-logistic-regression tag-ukrainian-building-sector\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/dynamic-logistic-regression-modeling-for-bankruptcy-risk-prediction-in-ukrainian-building-sector\/\"  aria-label=\"Dynamic logistic regression modeling for bankruptcy risk prediction in Ukrainian building sector\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 09.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Dynamic logistic regression modeling for bankruptcy risk prediction in Ukrainian building sector<\/h3>\n            <\/div>\n            <div class=\"excerpt\">This paper presents an advanced dynamic logistic regression model for forecasting financial distress and potential bankruptcy in Ukrainian building-materials companies. The proposed approach uses lagged financial indicators to significantly improve&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6724 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-balkovyy-korotatsiynyy-splayn tag-heometrychne-modelyuvannya tag-dyferentsialni-rivnyannya tag-identyfikatsiya-kutiv tag-kutovi-tochky tag-lokalna-intehralna-robota tag-neparametrychne-zhladzhuvannya\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\"  aria-label=\"Method for detecting corner points in images using a corotational beam spline\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 27.05.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Method for detecting corner points in images using a corotational beam spline<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n    <\/div><!--\/blog-recent-->\n\n  \n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>","protected":false},"excerpt":{"rendered":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443...","protected":false},"author":5,"featured_media":6501,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[139,131,140,239,240,238,116],"class_list":["post-6503","page","type-page","status-publish","has-post-thumbnail","category-spetsialnist-131","category-spetsialnist-133","category-spetsialnist-134","category-spec-2026-g11","category-spec-2026-g12","category-spec-2026-g9","category-fakhove-vydannia-katehoriia-b"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.1.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e - journal; Igor Sikorsky KPI; publish; academic press\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\" \/>\n\t\t<meta property=\"og:description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<meta property=\"og:image:width\" content=\"2300\" \/>\n\t\t<meta property=\"og:image:height\" content=\"500\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2026-05-27T10:57:10+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2026-06-02T00:14:40+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\" \/>\n\t\t<meta name=\"twitter:description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BlogPosting\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#blogposting\",\"name\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430 - Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"headline\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430\",\"author\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\"},\"datePublished\":\"2026-05-27T13:57:10+03:00\",\"dateModified\":\"2026-06-02T03:14:40+03:00\",\"inLanguage\":\"en-US\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\"},\"articleSection\":\"113 \\u041f\\u0440\\u0438\\u043a\\u043b\\u0430\\u0434\\u043d\\u0430 \\u043c\\u0430\\u0442\\u0435\\u043c\\u0430\\u0442\\u0438\\u043a\\u0430, 121 \\u0406\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f \\u043f\\u0440\\u043e\\u0433\\u0440\\u0430\\u043c\\u043d\\u043e\\u0433\\u043e \\u0437\\u0430\\u0431\\u0435\\u0437\\u043f\\u0435\\u0447\\u0435\\u043d\\u043d\\u044f, 122 \\u041a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u0456 \\u043d\\u0430\\u0443\\u043a\\u0438, 123 \\u041a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u0430 \\u0456\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f, 124 \\u0421\\u0438\\u0441\\u0442\\u0435\\u043c\\u043d\\u0438\\u0439 \\u0430\\u043d\\u0430\\u043b\\u0456\\u0437, 131 \\u041f\\u0440\\u0438\\u043a\\u043b\\u0430\\u0434\\u043d\\u0430 \\u043c\\u0435\\u0445\\u0430\\u043d\\u0456\\u043a\\u0430, 132 \\u041c\\u0430\\u0442\\u0435\\u0440\\u0456\\u0430\\u043b\\u043e\\u0437\\u043d\\u0430\\u0432\\u0441\\u0442\\u0432\\u043e, 133 \\u0413\\u0430\\u043b\\u0443\\u0437\\u0435\\u0432\\u0435 \\u043c\\u0430\\u0448\\u0438\\u043d\\u043e\\u0431\\u0443\\u0434\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f, 134 \\u0410\\u0432\\u0456\\u0430\\u0446\\u0456\\u0439\\u043d\\u0430 \\u0442\\u0430 \\u0440\\u0430\\u043a\\u0435\\u0442\\u043d\\u043e-\\u043a\\u043e\\u0441\\u043c\\u0456\\u0447\\u043d\\u0430 \\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430, 141 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, \\u0435\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430 \\u0442\\u0430 \\u0435\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043c\\u0435\\u0445\\u0430\\u043d\\u0456\\u043a\\u0430, 142 \\u0415\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u0447\\u043d\\u0435 \\u043c\\u0430\\u0448\\u0438\\u043d\\u043e\\u0431\\u0443\\u0434\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f, 143 \\u0410\\u0442\\u043e\\u043c\\u043d\\u0430 \\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, 144 \\u0422\\u0435\\u043f\\u043b\\u043e\\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, 151 \\u0410\\u0432\\u0442\\u043e\\u043c\\u0430\\u0442\\u0438\\u0437\\u0430\\u0446\\u0456\\u044f \\u0442\\u0430 \\u043a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u043e-\\u0456\\u043d\\u0442\\u0435\\u0433\\u0440\\u043e\\u0432\\u0430\\u043d\\u0456 \\u0442\\u0435\\u0445\\u043d\\u043e\\u043b\\u043e\\u0433\\u0456\\u0457, 161 \\u0425\\u0456\\u043c\\u0456\\u0447\\u043d\\u0456 \\u0442\\u0435\\u0445\\u043d\\u043e\\u043b\\u043e\\u0433\\u0456\\u0457 \\u0442\\u0430 \\u0456\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f, 171 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043d\\u0456\\u043a\\u0430, 172 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043d\\u043d\\u0456 \\u043a\\u043e\\u043c\\u0443\\u043d\\u0456\\u043a\\u0430\\u0446\\u0456\\u0457 \\u0442\\u0430 \\u0440\\u0430\\u0434\\u0456\\u043e\\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430, \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u0438\\u0439 \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u0438\\u0439 \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d, \\u0433\\u0435\\u043e\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0435 \\u043c\\u043e\\u0434\\u0435\\u043b\\u044e\\u0432\\u0430\\u043d\\u043d\\u044f, \\u0434\\u0438\\u0444\\u0435\\u0440\\u0435\\u043d\\u0446\\u0456\\u0430\\u043b\\u044c\\u043d\\u0456 \\u0440\\u0456\\u0432\\u043d\\u044f\\u043d\\u043d\\u044f, \\u0456\\u0434\\u0435\\u043d\\u0442\\u0438\\u0444\\u0456\\u043a\\u0430\\u0446\\u0456\\u044f \\u043a\\u0443\\u0442\\u0456\\u0432, \\u043a\\u0443\\u0442\\u043e\\u0432\\u0456 \\u0442\\u043e\\u0447\\u043a\\u0438, \\u043b\\u043e\\u043a\\u0430\\u043b\\u044c\\u043d\\u0430 \\u0456\\u043d\\u0442\\u0435\\u0433\\u0440\\u0430\\u043b\\u044c\\u043d\\u0430 \\u0440\\u043e\\u0431\\u043e\\u0442\\u0430, \\u043d\\u0435\\u043f\\u0430\\u0440\\u0430\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0435 \\u0437\\u0433\\u043b\\u0430\\u0434\\u0436\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/publish.kpi.ua\\\/en\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/mechanics-and-advanced-technologies\\\/#listItem\",\"name\":\"Mechanics and Advanced Technologies\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/mechanics-and-advanced-technologies\\\/#listItem\",\"position\":2,\"name\":\"Mechanics and Advanced Technologies\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\",\"name\":\"Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"journal; Igor Sikorsky KPI; publish; academic press\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/\",\"name\":\"lytvyn.p.p\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#authorImage\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/4887ddec035cdc2664e9be519fe4e7a2be206e08ca472c55c1a6be8de6701816?s=96&d=mm&r=g\",\"width\":96,\"height\":96,\"caption\":\"lytvyn.p.p\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/\",\"name\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430 - Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"\\u0421\\u0442\\u0430\\u0442\\u0442\\u044f \\u043f\\u0440\\u043e\\u043f\\u043e\\u043d\\u0443\\u0454 \\u0440\\u043e\\u0437\\u0440\\u043e\\u0431\\u043a\\u0443 \\u043c\\u0435\\u0442\\u043e\\u0434\\u0443 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430. \\u041f\\u043e\\u0448\\u0443\\u043a \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u043c\\u0430\\u0454 \\u0432\\u0435\\u043b\\u0438\\u043a\\u0435 \\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u0434\\u043b\\u044f \\u0456\\u0434\\u0435\\u043d\\u0442\\u0438\\u0444\\u0456\\u043a\\u0430\\u0446\\u0456\\u0457 \\u043e\\u0431\\u0440\\u0430\\u0437\\u0456\\u0432, \\u0442\\u0430 \\u043c\\u0430\\u0454 \\u0431\\u0430\\u0433\\u0430\\u0442\\u043e \\u0441\\u0444\\u0435\\u0440 \\u0437\\u0430\\u0441\\u0442\\u043e\\u0441\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f \\u0432 \\u043a\\u043e\\u043c\\u043f\\u2019\\u044e\\u0442\\u0435\\u0440\\u043d\\u043e\\u043c\\u0443 \\u0437\\u043e\\u0440\\u0456 \\u0442\\u0430 \\u0440\\u043e\\u0437\\u043f\\u0456\\u0437\\u043d\\u0430\\u0432\\u0430\\u043d\\u043d\\u0456 \\u043e\\u0431\\u0440\\u0430\\u0437\\u0456\\u0432. \\u0417\\u0430\\u0437\\u0432\\u0438\\u0447\\u0430\\u0439 \\u0434\\u043b\\u044f \\u0446\\u044c\\u043e\\u0433\\u043e \\u0432\\u0438\\u043a\\u043e\\u0440\\u0438\\u0441\\u0442\\u043e\\u0432\\u0443\\u044e\\u0442\\u044c \\u0433\\u0435\\u043e\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0438\\u0439 \\u0430\\u043d\\u0430\\u043b\\u0456\\u0437 \\u0447\\u043e\\u0440\\u043d\\u043e-\\u0431\\u0456\\u043b\\u0438\\u0445 \\u043a\\u043e\\u043d\\u0442\\u0443\\u0440\\u0456\\u0432, \\u0434\\u043e \\u044f\\u043a\\u0438\\u0445 \\u043f\\u043e\\u0442\\u0456\\u043c \\u0437\\u0430\\u0441\\u0442\\u043e\\u0441\\u043e\\u0432\\u0443\\u044e\\u0442\\u044c \\u0433\\u0430\\u0443\\u0441\\u0456\\u0432\\u0441\\u044c\\u043a\\u0435 \\u0437\\u0433\\u043b\\u0430\\u0434\\u0436\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f \\u0434\\u043b\\u044f \\u0432\\u0438\\u044f\\u0432\\u043b\\u0435\\u043d\\u043d\\u044f \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430\\u0439\\u0431\\u0456\\u043b\\u044c\\u0448\\u043e\\u0457 \\u043a\\u0440\\u0438\\u0432\\u0438\\u0437\\u043d\\u0438. \\u041f\\u043e\\u0442\\u0456\\u043c \\u0434\\u043e\\u0421\\u0442\\u0430\\u0442\\u0442\\u044f \\u043f\\u0440\\u043e\\u043f\\u043e\\u043d\\u0443\\u0454 \\u0440\\u043e\\u0437\\u0440\\u043e\\u0431\\u043a\\u0443 \\u043c\\u0435\\u0442\\u043e\\u0434\\u0443 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430.\",\"inLanguage\":\"en-US\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#breadcrumblist\"},\"author\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"creator\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"datePublished\":\"2026-05-27T13:57:10+03:00\",\"dateModified\":\"2026-06-02T03:14:40+03:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/\",\"name\":\"Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"journal; Igor Sikorsky KPI; publish; academic press\",\"inLanguage\":\"en-US\",\"publisher\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","canonical_url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BlogPosting","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#blogposting","name":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","headline":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430","author":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"publisher":{"@id":"https:\/\/publish.kpi.ua\/en\/#organization"},"datePublished":"2026-05-27T13:57:10+03:00","dateModified":"2026-06-02T03:14:40+03:00","inLanguage":"en-US","mainEntityOfPage":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage"},"isPartOf":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage"},"articleSection":"113 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, 121 \u0406\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f, 122 \u041a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u0456 \u043d\u0430\u0443\u043a\u0438, 123 \u041a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u0430 \u0456\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f, 124 \u0421\u0438\u0441\u0442\u0435\u043c\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437, 131 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0435\u0445\u0430\u043d\u0456\u043a\u0430, 132 \u041c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u043e\u0437\u043d\u0430\u0432\u0441\u0442\u0432\u043e, 133 \u0413\u0430\u043b\u0443\u0437\u0435\u0432\u0435 \u043c\u0430\u0448\u0438\u043d\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f, 134 \u0410\u0432\u0456\u0430\u0446\u0456\u0439\u043d\u0430 \u0442\u0430 \u0440\u0430\u043a\u0435\u0442\u043d\u043e-\u043a\u043e\u0441\u043c\u0456\u0447\u043d\u0430 \u0442\u0435\u0445\u043d\u0456\u043a\u0430, 141 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u0442\u0435\u0445\u043d\u0456\u043a\u0430 \u0442\u0430 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0456\u043a\u0430, 142 \u0415\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u0435 \u043c\u0430\u0448\u0438\u043d\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f, 143 \u0410\u0442\u043e\u043c\u043d\u0430 \u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, 144 \u0422\u0435\u043f\u043b\u043e\u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, 151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457, 161 \u0425\u0456\u043c\u0456\u0447\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457 \u0442\u0430 \u0456\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f, 171 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u0456\u043a\u0430, 172 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0456 \u043a\u043e\u043c\u0443\u043d\u0456\u043a\u0430\u0446\u0456\u0457 \u0442\u0430 \u0440\u0430\u0434\u0456\u043e\u0442\u0435\u0445\u043d\u0456\u043a\u0430, \u0431\u0430\u043b\u043a\u043e\u0432\u0438\u0439 \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u0438\u0439 \u0441\u043f\u043b\u0430\u0439\u043d, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0434\u0438\u0444\u0435\u0440\u0435\u043d\u0446\u0456\u0430\u043b\u044c\u043d\u0456 \u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f, \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u044f \u043a\u0443\u0442\u0456\u0432, \u043a\u0443\u0442\u043e\u0432\u0456 \u0442\u043e\u0447\u043a\u0438, \u043b\u043e\u043a\u0430\u043b\u044c\u043d\u0430 \u0456\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0430 \u0440\u043e\u0431\u043e\u0442\u0430, \u043d\u0435\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f"},{"@type":"BreadcrumbList","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en#listItem","position":1,"name":"Home","item":"https:\/\/publish.kpi.ua\/en","nextItem":{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en\/mechanics-and-advanced-technologies\/#listItem","name":"Mechanics and Advanced Technologies"}},{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en\/mechanics-and-advanced-technologies\/#listItem","position":2,"name":"Mechanics and Advanced Technologies","previousItem":{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en#listItem","name":"Home"}}]},{"@type":"Organization","@id":"https:\/\/publish.kpi.ua\/en\/#organization","name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"journal; Igor Sikorsky KPI; publish; academic press","url":"https:\/\/publish.kpi.ua\/en\/"},{"@type":"Person","@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author","url":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/","name":"lytvyn.p.p","image":{"@type":"ImageObject","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#authorImage","url":"https:\/\/secure.gravatar.com\/avatar\/4887ddec035cdc2664e9be519fe4e7a2be206e08ca472c55c1a6be8de6701816?s=96&d=mm&r=g","width":96,"height":96,"caption":"lytvyn.p.p"}},{"@type":"WebPage","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage","url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","name":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/publish.kpi.ua\/en\/#website"},"breadcrumb":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#breadcrumblist"},"author":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"creator":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"datePublished":"2026-05-27T13:57:10+03:00","dateModified":"2026-06-02T03:14:40+03:00"},{"@type":"WebSite","@id":"https:\/\/publish.kpi.ua\/en\/#website","url":"https:\/\/publish.kpi.ua\/en\/","name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"journal; Igor Sikorsky KPI; publish; academic press","inLanguage":"en-US","publisher":{"@id":"https:\/\/publish.kpi.ua\/en\/#organization"}}]},"og:locale":"en_US","og:site_name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e - journal; Igor Sikorsky KPI; publish; academic press","og:type":"article","og:title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","og:description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","og:url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","og:image":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png","og:image:secure_url":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png","og:image:width":2300,"og:image:height":500,"article:published_time":"2026-05-27T10:57:10+00:00","article:modified_time":"2026-06-02T00:14:40+00:00","twitter:card":"summary_large_image","twitter:title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","twitter:description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","twitter:image":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png"},"aioseo_meta_data":{"post_id":"6503","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":{"faqs":[],"keyPoints":[],"schemas":[],"titles":[],"descriptions":[],"socialPosts":{"email":{"subject":"","preview":"","content":""},"linkedin":[],"twitter":[],"facebook":[],"instagram":[]}},"created":"2026-04-20 12:02:35","updated":"2026-09-18 08:07:47","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/publish.kpi.ua\/en\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tMechanics and Advanced Technologies\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/publish.kpi.ua\/en"},{"label":"Mechanics and Advanced Technologies","link":"https:\/\/publish.kpi.ua\/en\/mechanics-and-advanced-technologies\/"}],"_links":{"self":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6503","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/comments?post=6503"}],"version-history":[{"count":8,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6503\/revisions"}],"predecessor-version":[{"id":7070,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6503\/revisions\/7070"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/media\/6501"}],"wp:attachment":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/media?parent=6503"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/categories?post=6503"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}