Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 915-922.

• 论文 •    下一篇

DEFORMATIONS AND STABILITY OF SPHERICAL CAPS UNDER CENTRALLY DISTRIBUTED PRESSURES

叶开沅, 宋卫平   

  1. Lanzhou University, Lanzhou
  • 收稿日期:1987-04-06 出版日期:1988-10-18 发布日期:1988-10-18
  • 基金资助:

    Project Supported by National Science Foundation of China

DEFORMATIONS AND STABILITY OF SPHERICAL CAPS UNDER CENTRALLY DISTRIBUTED PRESSURES

Yeh Kai-yuan, Song Wei-ping   

  1. Lanzhou University, Lanzhou
  • Received:1987-04-06 Online:1988-10-18 Published:1988-10-18
  • Supported by:

    Project Supported by National Science Foundation of China

摘要: In this paper the deformations and stability in large axisymmetric deflection of spherical caps under centrally distributed pressures are investigated. The Newton-spline method for solving the nonlinear equations governing large axisymmetric deflection of spherical caps is presented. The buckling behavior is studied for a cap with fixed geometry when the size of the loaded radius is allowed to vary, and for a fixed loaded radius when the shell geometry is allowed to vary. The influence of the buckling modes on the critical loads is analysed. Numerical results are given for v=0.3.

Abstract: In this paper the deformations and stability in large axisymmetric deflection of spherical caps under centrally distributed pressures are investigated. The Newton-spline method for solving the nonlinear equations governing large axisymmetric deflection of spherical caps is presented. The buckling behavior is studied for a cap with fixed geometry when the size of the loaded radius is allowed to vary, and for a fixed loaded radius when the shell geometry is allowed to vary. The influence of the buckling modes on the critical loads is analysed. Numerical results are given for v=0.3.

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