Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (11): 1003-1012.

• 论文 •    下一篇

VARIATIONAL METHODS FOR THE PROBLEMS OF NONCONSERVATIVE FORCE FIELDS IN THE MICROPOLAR ELASTODYNAMICS

戴天民1, 扶民福2, 林钟祥2, 杨德品3   

  1. 1. Liaoning University, Shenyang;
    2. Zhejiang University, Hangzhou;
    3. Jiangxi Polytechnic University, Nanchang
  • 收稿日期:1986-09-29 出版日期:1987-11-18 发布日期:1987-11-18

VARIATIONAL METHODS FOR THE PROBLEMS OF NONCONSERVATIVE FORCE FIELDS IN THE MICROPOLAR ELASTODYNAMICS

Dai Tian-min1, Fu Ming-fu2, Lin Zhong-xiang2, Yang De-pin3   

  1. 1. Liaoning University, Shenyang;
    2. Zhejiang University, Hangzhou;
    3. Jiangxi Polytechnic University, Nanchang
  • Received:1986-09-29 Online:1987-11-18 Published:1987-11-18

摘要: Based on the properties of the convolution and the convolute commutation, some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper. The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.

关键词: switched system, multiple Lyapunov function, global exponential stability

Abstract: Based on the properties of the convolution and the convolute commutation, some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper. The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.

Key words: switched system, multiple Lyapunov function, global exponential stability

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