Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (1): 51-78.

• 论文 • 上一篇    下一篇

Investigation of the Stability Problems of Elastic Bodies Using the Method of Mathematical Theory of Elasticity

王震鸣   

  1. Institute of Mechanics, Academia Sinica
  • 收稿日期:1980-02-20 出版日期:1981-01-18 发布日期:1981-01-18
  • 通讯作者: Chien Wei-zang

Investigation of the Stability Problems of Elastic Bodies Using the Method of Mathematical Theory of Elasticity

Wang Zhen-ming   

  1. Institute of Mechanics, Academia Sinica
  • Received:1980-02-20 Online:1981-01-18 Published:1981-01-18

摘要: In this paper, using the equilibrium equations and boundary conditions of elastic stability problem of and the method of mathematical theory of elasticity, we solve some elastic stability problems, which were studied by Ишлынский[2] and Войцеховская[3,4],and obtained more reasonable results than theirs.

关键词: Asgeirsson mean value theorem, generalized biaxial symmetry potential equation, Jacobi polynomials

Abstract: In this paper, using the equilibrium equations and boundary conditions of elastic stability problem of and the method of mathematical theory of elasticity, we solve some elastic stability problems, which were studied by Ишлынский[2] and Войцеховская[3,4],and obtained more reasonable results than theirs.

Key words: Asgeirsson mean value theorem, generalized biaxial symmetry potential equation, Jacobi polynomials

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