Application of the Finite Element Method for the Solution of Stability Problems of the Timoshenko Beam with Exact Shape Functions


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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.

Авторлар туралы

V. Lalin

Peter the Great St. Petersburg Polytechnic University

Хат алмасуға жауапты Автор.
Email: vllalin@yandex.ru
Ресей, St. Petersburg

A. Yavarov

Peter the Great St. Petersburg Polytechnic University

Email: vllalin@yandex.ru
Ресей, St. Petersburg

E. Orlova

Peter the Great St. Petersburg Polytechnic University

Email: vllalin@yandex.ru
Ресей, St. Petersburg

A. Gulov

Peter the Great St. Petersburg Polytechnic University

Email: vllalin@yandex.ru
Ресей, St. Petersburg

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