The nonclassical problem of the compressed bar stability
The non-classical problem of the stability loss of a straight vertical bar with elastic flexible elements at the ends is considered. The mathematical model for the study of stability loss consists of a linearized differential equation for buckling of a constant cross section bar, supplemented by bou...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01031.pdf |
| _version_ | 1818690043870445568 |
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| author | Kulterbaev Khusen |
| author_facet | Kulterbaev Khusen |
| author_sort | Kulterbaev Khusen |
| collection | DOAJ |
| description | The non-classical problem of the stability loss of a straight vertical bar with elastic flexible elements at the ends is considered. The mathematical model for the study of stability loss consists of a linearized differential equation for buckling of a constant cross section bar, supplemented by boundary conditions. Critical force is determined by analytical and numerical methods. Two versions of computational algorithms are presented. For one design scheme of the rod in the Matlab computing environment, the critical forces are calculated using two methods. The found critical forces differ insignificantly, which confirms the reliability and efficiency of the proposed algorithms. |
| first_indexed | 2024-12-17T12:19:44Z |
| format | Article |
| id | doaj.art-d530a9e076d946ae8ac3b0b48a08f4fa |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-17T12:19:44Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-d530a9e076d946ae8ac3b0b48a08f4fa2022-12-21T21:49:01ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012810103110.1051/e3sconf/202128101031e3sconf_catpid2021_01031The nonclassical problem of the compressed bar stabilityKulterbaev KhusenThe non-classical problem of the stability loss of a straight vertical bar with elastic flexible elements at the ends is considered. The mathematical model for the study of stability loss consists of a linearized differential equation for buckling of a constant cross section bar, supplemented by boundary conditions. Critical force is determined by analytical and numerical methods. Two versions of computational algorithms are presented. For one design scheme of the rod in the Matlab computing environment, the critical forces are calculated using two methods. The found critical forces differ insignificantly, which confirms the reliability and efficiency of the proposed algorithms.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01031.pdf |
| spellingShingle | Kulterbaev Khusen The nonclassical problem of the compressed bar stability E3S Web of Conferences |
| title | The nonclassical problem of the compressed bar stability |
| title_full | The nonclassical problem of the compressed bar stability |
| title_fullStr | The nonclassical problem of the compressed bar stability |
| title_full_unstemmed | The nonclassical problem of the compressed bar stability |
| title_short | The nonclassical problem of the compressed bar stability |
| title_sort | nonclassical problem of the compressed bar stability |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01031.pdf |
| work_keys_str_mv | AT kulterbaevkhusen thenonclassicalproblemofthecompressedbarstability AT kulterbaevkhusen nonclassicalproblemofthecompressedbarstability |