Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (10): 931-944.

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SINGULAR PERTURBATION SOLUTIONS OF THE NONLINEAR STABILITY OF A TRUNCATED SHALLOW SHPERICAL SHELL UNDER LINEAR DISTRIBUTED LOADS ALONG THE INTERIOR EDGE

Kang Sheng-liang   

  1. Tongji University, Shanghai
  • Received:1992-09-09 Online:1993-10-18 Published:1993-10-18

Abstract: Using a singular perturbation method, the nonlinear stability of a truncated shallow, spherical shell without a nondeformable rigid body at the center under linear distributed loads along the interior edge is investigated in this paper. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.

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