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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 615-621.

• 论文 • 上一篇    下一篇

THE SOLUTION OF WEAK FORMULATION FOR AXISYMMETRIC PROBLEM OF ORTHOTROPIC CANTILEVER CYLINDRICAL SHELL

丁克伟, 唐立民   

  1. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
  • 收稿日期:1998-04-16 修回日期:1998-11-16 出版日期:1999-06-18 发布日期:1999-06-18
  • 基金资助:
    the National Natural Science Foundation of China(19392305)

THE SOLUTION OF WEAK FORMULATION FOR AXISYMMETRIC PROBLEM OF ORTHOTROPIC CANTILEVER CYLINDRICAL SHELL

Ding Kewei, Tang Limin   

  1. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
  • Received:1998-04-16 Revised:1998-11-16 Online:1999-06-18 Published:1999-06-18
  • Supported by:
    the National Natural Science Foundation of China(19392305)

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摘要： Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell is presented,and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established.A unified approach and weak solutions are obtained for closed laminated cantilever cylindrical shell of arbitrary thickness under thermal and mechanical loadings.The equations and boundary conditions proposed in this paper are weakened,the method of this paper would be easy to popularize in dynamics analysis of elasticity.

关键词: closed cantilever cylindrical shell, thermal stresses, mixed equation, axisymmetric problem, weak solution

Abstract: Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell is presented,and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established.A unified approach and weak solutions are obtained for closed laminated cantilever cylindrical shell of arbitrary thickness under thermal and mechanical loadings.The equations and boundary conditions proposed in this paper are weakened,the method of this paper would be easy to popularize in dynamics analysis of elasticity.

Key words: closed cantilever cylindrical shell, thermal stresses, mixed equation, axisymmetric problem, weak solution

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