The Asymptotic Solution of a Dynamic Buckling Problem in Elastic Columns

Han Qiang; Zhang Shanyuan; Yang Guitong

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(8): 809-814

Han Qiang, Zhang Shanyuan, Yang Guitong. The Asymptotic Solution of a Dynamic Buckling Problem in Elastic Columns[J]. Applied Mathematics and Mechanics, 1999, 20(8): 809-814.

Citation:

Han Qiang, Zhang Shanyuan, Yang Guitong. The Asymptotic Solution of a Dynamic Buckling Problem in Elastic Columns[J]. Applied Mathematics and Mechanics, 1999, 20(8): 809-814.

Citation:

Han Qiang, Zhang Shanyuan, Yang Guitong. The Asymptotic Solution of a Dynamic Buckling Problem in Elastic Columns[J]. Applied Mathematics and Mechanics, 1999, 20(8): 809-814.

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The Asymptotic Solution of a Dynamic Buckling Problem in Elastic Columns

1.
Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P. R. China;
2.
Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received Date: 1997-07-05
Publish Date: 1999-08-15

Abstract

Abstract

For the dynamic buckling of an elastic column, which is subjected to a longitudinal impact by a rigid body, the form of the axial load is very complicated. The problem may be reduced to discuss the solution of nonlinear partial differential equations. So far, a theoretical solution may not be obtained. In this paper, this dynamic buckling problem of an ideal elastic column with finite length is discussed. By the perturbation method with a small parameter and the variational method, a solution of this problem is given. Finally, numerical computation is carried out, from this, some beneficial.
- dynamic buckling,
- perturbation method,
- buckling mode

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References(5)

References

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