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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1198-1209.

• 论文 • 上一篇    下一篇

THE METHOD OF MULTIPLE SCALES APPLIED TO THE NONLINEAR STABILITY PROBLEM OF A TRUNCATED SHALLOW SPHERICAL SHELL OF VARIABLE THICKNESS WITH THE LARGE GEOMETRICAL PARAMETER

康盛亮   

  1. Department of Applied Mathematics, Tongji University, Shanghai 200092, P. R. China
  • 收稿日期:1999-10-25 修回日期:2001-04-27 出版日期:2001-10-18 发布日期:2001-10-18

THE METHOD OF MULTIPLE SCALES APPLIED TO THE NONLINEAR STABILITY PROBLEM OF A TRUNCATED SHALLOW SPHERICAL SHELL OF VARIABLE THICKNESS WITH THE LARGE GEOMETRICAL PARAMETER

KANG Sheng-liang   

  1. Department of Applied Mathematics, Tongji University, Shanghai 200092, P. R. China
  • Received:1999-10-25 Revised:2001-04-27 Online:2001-10-18 Published:2001-10-18

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摘要： Using the modified method of multiple scales, the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under compound loads is investigated. When the geometrical parameter k is larger, the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated.

Abstract: Using the modified method of multiple scales, the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under compound loads is investigated. When the geometrical parameter k is larger, the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated.

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