Stability of a compressed-tensioned rod of variable cross-section with combined loading
Objective. The purpose of the study is to determine the stability of a straight rod of variable cross-section under combined axial loading. Method. The longitudinal bending of the rod is described by the classical theory using Bernoulli’s hypothesis, and the critical forces are determined from the E...
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| Format: | Article |
| Language: | Russian |
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Dagestan State Technical University
2024-01-01
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| Series: | Вестник Дагестанского государственного технического университета: Технические науки |
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| Online Access: | https://vestnik.dgtu.ru/jour/article/view/1388 |
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| author | H. P. Kulterbaev M. M. Payzulaev |
| author_facet | H. P. Kulterbaev M. M. Payzulaev |
| author_sort | H. P. Kulterbaev |
| collection | DOAJ |
| description | Objective. The purpose of the study is to determine the stability of a straight rod of variable cross-section under combined axial loading. Method. The longitudinal bending of the rod is described by the classical theory using Bernoulli’s hypothesis, and the critical forces are determined from the Euler problem with appropriate assumptions. Result. An algorithm for a numerical method for solving the problem of determining the eigenvalues of the differential equation for longitudinal bending of a rod is proposed. External loads are considered “dead”. The functions of changing the variable cross-sectional area, variable stiffness and distributed load are considered given. The curved axis of the rod after bifurcation is described using a linear ordinary differential equation. Conclusion. The implementation of the numerical method was carried out by the finite difference method using numerical methods and modern computer software. |
| format | Article |
| id | doaj-art-5bb145e28dba42aaac4551641cdfaadd |
| institution | Kabale University |
| issn | 2073-6185 2542-095X |
| language | Russian |
| publishDate | 2024-01-01 |
| publisher | Dagestan State Technical University |
| record_format | Article |
| series | Вестник Дагестанского государственного технического университета: Технические науки |
| spelling | doaj-art-5bb145e28dba42aaac4551641cdfaadd2025-08-20T03:57:21ZrusDagestan State Technical UniversityВестник Дагестанского государственного технического университета: Технические науки2073-61852542-095X2024-01-0150419119610.21822/2073-6185-2023-50-4-191-196831Stability of a compressed-tensioned rod of variable cross-section with combined loadingH. P. Kulterbaev0M. M. Payzulaev1North Caucasus Federal UniversityDaghestan State Technical UniversityObjective. The purpose of the study is to determine the stability of a straight rod of variable cross-section under combined axial loading. Method. The longitudinal bending of the rod is described by the classical theory using Bernoulli’s hypothesis, and the critical forces are determined from the Euler problem with appropriate assumptions. Result. An algorithm for a numerical method for solving the problem of determining the eigenvalues of the differential equation for longitudinal bending of a rod is proposed. External loads are considered “dead”. The functions of changing the variable cross-sectional area, variable stiffness and distributed load are considered given. The curved axis of the rod after bifurcation is described using a linear ordinary differential equation. Conclusion. The implementation of the numerical method was carried out by the finite difference method using numerical methods and modern computer software.https://vestnik.dgtu.ru/jour/article/view/1388critical loads and forcesstraight rod of variable cross-sectioncompressed-tensioned rodunevenly distributed and variable distributed loadnumerical methodscomputer softwarelinear elastic materialsystem of concentrated forcesfunctions of changing variable cross-sectional areavariable stiffnessbernoulli’s hypothesis |
| spellingShingle | H. P. Kulterbaev M. M. Payzulaev Stability of a compressed-tensioned rod of variable cross-section with combined loading Вестник Дагестанского государственного технического университета: Технические науки critical loads and forces straight rod of variable cross-section compressed-tensioned rod unevenly distributed and variable distributed load numerical methods computer software linear elastic material system of concentrated forces functions of changing variable cross-sectional area variable stiffness bernoulli’s hypothesis |
| title | Stability of a compressed-tensioned rod of variable cross-section with combined loading |
| title_full | Stability of a compressed-tensioned rod of variable cross-section with combined loading |
| title_fullStr | Stability of a compressed-tensioned rod of variable cross-section with combined loading |
| title_full_unstemmed | Stability of a compressed-tensioned rod of variable cross-section with combined loading |
| title_short | Stability of a compressed-tensioned rod of variable cross-section with combined loading |
| title_sort | stability of a compressed tensioned rod of variable cross section with combined loading |
| topic | critical loads and forces straight rod of variable cross-section compressed-tensioned rod unevenly distributed and variable distributed load numerical methods computer software linear elastic material system of concentrated forces functions of changing variable cross-sectional area variable stiffness bernoulli’s hypothesis |
| url | https://vestnik.dgtu.ru/jour/article/view/1388 |
| work_keys_str_mv | AT hpkulterbaev stabilityofacompressedtensionedrodofvariablecrosssectionwithcombinedloading AT mmpayzulaev stabilityofacompressedtensionedrodofvariablecrosssectionwithcombinedloading |