Application of the Finite Element Method for the Solution of Stability Problems of the Timoshenko Beam with Exact Shape Functions
- 作者: Lalin V.1, Yavarov A.1, Orlova E.1, Gulov A.1
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隶属关系:
- Peter the Great St. Petersburg Polytechnic University
- 期: 卷 53, 编号 4 (2019)
- 页面: 449-454
- 栏目: Article
- URL: https://journals.rcsi.science/1570-145X/article/view/246550
- DOI: https://doi.org/10.1007/s10749-019-01098-6
- ID: 246550
如何引用文章
详细
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.
作者简介
V. Lalin
Peter the Great St. Petersburg Polytechnic University
编辑信件的主要联系方式.
Email: vllalin@yandex.ru
俄罗斯联邦, St. Petersburg
A. Yavarov
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
俄罗斯联邦, St. Petersburg
E. Orlova
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
俄罗斯联邦, St. Petersburg
A. Gulov
Peter the Great St. Petersburg Polytechnic University
Email: vllalin@yandex.ru
俄罗斯联邦, St. Petersburg