Application of the Finite Element Method for the Solution of Stability Problems of the Timoshenko Beam with Exact Shape Functions
- Авторы: Lalin V.1, Yavarov A.1, Orlova E.1, Gulov A.1
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Учреждения:
- Peter the Great St. Petersburg Polytechnic University
- Выпуск: Том 53, № 4 (2019)
- Страницы: 449-454
- Раздел: Article
- URL: https://journals.rcsi.science/1570-145X/article/view/246550
- DOI: https://doi.org/10.1007/s10749-019-01098-6
- ID: 246550
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Аннотация
In this article, the problems of the stability of a Timoshenko beam are solved by the finite element method, with application of exact shape functions. These shape functions are derived from the solution of homogeneous equations of equilibrium. The article presents expressions for elements of stiffness matrixes and the geometric rigidity of a Timoshenko beam. The approach that is used makes it possible to exclude the shear (locking) effect and obtain a high degree of correspondence between the numerical and analytical solutions with a small number of finite elements.
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Об авторах
V. Lalin
Peter the Great St. Petersburg Polytechnic University
Автор, ответственный за переписку.
Email: vllalin@yandex.ru
Россия, St. Petersburg
A. Yavarov
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
Россия, St. Petersburg
E. Orlova
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
Россия, St. Petersburg
A. Gulov
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
Россия, St. Petersburg