Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (1): 49-65.

• 论文 • 上一篇    下一篇

THE FINITE DEFLECTION EQUATIONS OF ANISOTROPIC LAMINATED SHALLOW SHELLS

王震鸣, 刘国玺, 吕明身   

  1. Institute of Mechanics, Academia Sinica
  • 收稿日期:1980-07-18 出版日期:1982-01-18 发布日期:1982-01-18

THE FINITE DEFLECTION EQUATIONS OF ANISOTROPIC LAMINATED SHALLOW SHELLS

Wang Zhen-ming, Liu Guo-xi, Lu Ming-shen   

  1. Institute of Mechanics, Academia Sinica
  • Received:1980-07-18 Online:1982-01-18 Published:1982-01-18

摘要: In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotro-pic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u0 v0 φx φy and w are obtained. From them, we could solve the problems of stress analysis,deformation,stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.

关键词: triangulation, spline space, harmonic condition

Abstract: In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotro-pic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u0 v0 φx φy and w are obtained. From them, we could solve the problems of stress analysis,deformation,stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.

Key words: triangulation, spline space, harmonic condition

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