Stability of a compressed-tensioned rod of variable cross-section with combined loading
| Autor: | H. P. Kulterbaev, M. M. Payzulaev |
|---|---|
| Jazyk: | ruština |
| Rok vydání: | 2024 |
| Předmět: |
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 Technology |
| Zdroj: | Вестник Дагестанского государственного технического университета: Технические науки, Vol 50, Iss 4, Pp 191-196 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2073-6185 2542-095X |
| DOI: | 10.21822/2073-6185-2023-50-4-191-196 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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