Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (2): 153-158.

• 论文 • 上一篇    下一篇

NONLINEAR AXISYMMETRIC BENDING AND STABILITY OF THIN SPHERICAL SHALLOW SHELL WITH VARIABLE THICKNESS UNDER UNIFORMLY DISTRIBUTED LOADS

叶志明   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • 收稿日期:1986-12-10 出版日期:1988-02-18 发布日期:1988-02-18
  • 基金资助:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

NONLINEAR AXISYMMETRIC BENDING AND STABILITY OF THIN SPHERICAL SHALLOW SHELL WITH VARIABLE THICKNESS UNDER UNIFORMLY DISTRIBUTED LOADS

Ye Zhi-ming   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • Received:1986-12-10 Online:1988-02-18 Published:1988-02-18
  • Supported by:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

摘要: In this paper, the nonlinear bending and stability of thin spherical shallow shell with variable thickness under uniformly distributed loads are investigated by a new modified iteration method proposed by Prof. Yeh Kai-yuan and the author [1]. Deflections and critical loads have been calculated and the numerical results obtained have been given in figures and tabular forms. It is shown that the final equation determining the central deflection and the load obtained coincides with the cusp catastrophe manifold.

关键词: dynamic buckling, exact solution, stability-instability, Jacobi elliptic functions

Abstract: In this paper, the nonlinear bending and stability of thin spherical shallow shell with variable thickness under uniformly distributed loads are investigated by a new modified iteration method proposed by Prof. Yeh Kai-yuan and the author [1]. Deflections and critical loads have been calculated and the numerical results obtained have been given in figures and tabular forms. It is shown that the final equation determining the central deflection and the load obtained coincides with the cusp catastrophe manifold.

Key words: dynamic buckling, exact solution, stability-instability, Jacobi elliptic functions

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