Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 285-291.

• 论文 • 上一篇    下一篇

THE SINGULAR PERTURBATION METHOD APPLIED TO THE NONLINEAR STABILITY PROBLEM OF A SHALLOW SPHERICAL SHELL (II)

康盛亮   

  1. Tongji University, Shanghai
  • 收稿日期:1989-01-13 出版日期:1990-03-18 发布日期:1990-03-18

THE SINGULAR PERTURBATION METHOD APPLIED TO THE NONLINEAR STABILITY PROBLEM OF A SHALLOW SPHERICAL SHELL (II)

Rang Sheng-liang   

  1. Tongji University, Shanghai
  • Received:1989-01-13 Online:1990-03-18 Published:1990-03-18

摘要: In this paper we consider the nonlinear stability of a thin elastic circular shallow spherical shell under the action of uniform normal pressure with a clamped edge. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained by means of the singular perturbation method. In addition, we give the analytic formula for determining the centre deflection and the critical load, and the stability curve is also derived. This paper is a continuation of the author’s previous paper[11].

关键词: double-shell Kidder’s self-similar solution, Rayleigh-Taylor instability, implosion compression

Abstract: In this paper we consider the nonlinear stability of a thin elastic circular shallow spherical shell under the action of uniform normal pressure with a clamped edge. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained by means of the singular perturbation method. In addition, we give the analytic formula for determining the centre deflection and the critical load, and the stability curve is also derived. This paper is a continuation of the author’s previous paper[11].

Key words: double-shell Kidder’s self-similar solution, Rayleigh-Taylor instability, implosion compression

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