Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (3): 313-326.

• Articles • Previous Articles    

ASYMPTOTIC SOLUTIONS OF THE NONLINEAR STABILITY OF A TRUNCATED SHALLOW SPHERICAL SHELL UNDER A CONCENTRATED LOAD

Kang Sheng-liang   

  1. Tongji University, Shanghai
  • Received:1989-07-26 Online:1991-03-18 Published:1991-03-18

Abstract: In this paper, the nonlinear stability problem of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under a concentrated load is studied by means of the singular perturbation method. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.

Key words: spherical shell, nonlinear-stability, asymptotic solution

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