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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (8): 867-872.

• 论文 • 上一篇    下一篇

THE ASYMPTOTIC SOLUTION OF A DYNAMIC BUCKLING PROBLEM IN ELASTIC COLUMNS

韩强1, 张善元2, 杨桂通2   

  1. 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
  • 收稿日期:1997-07-05 出版日期:1999-08-18 发布日期:1999-08-18

THE ASYMPTOTIC SOLUTION OF A DYNAMIC BUCKLING PROBLEM IN ELASTIC COLUMNS

Han Qiang1, Zhang Shanyuan2, Yang Guitong2   

  1. 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:1997-07-05 Online:1999-08-18 Published:1999-08-18

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摘要： 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 conclusions are obtained.

关键词: dynamic buckling, perturbation method, buckling mode

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 conclusions are obtained.

Key words: dynamic buckling, perturbation method, buckling mode

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