Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 963-970.

• 论文 •    下一篇

FREE-PARAMETER PERTURBATION-METHOD SOLUTIONS OF THE NONLINEAR STABILITY OF SHALLOW SPHERICAL SHELLS

陈山林, 李其中   

  1. Faculty of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China
  • 收稿日期:2003-01-16 修回日期:2004-04-08 出版日期:2004-09-18 发布日期:2004-09-18

FREE-PARAMETER PERTURBATION-METHOD SOLUTIONS OF THE NONLINEAR STABILITY OF SHALLOW SPHERICAL SHELLS

CHEN Shan-lin, LI Qi-zhong   

  1. Faculty of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China
  • Received:2003-01-16 Revised:2004-04-08 Online:2004-09-18 Published:2004-09-18

摘要: The free-parameter perturbation method is applied to solve the problems of nonlinear stability of spherical shallow shells under uniform load. As a modified perturbation method, the free-parameter perturbation method enables researchers to obtain all characteristic relations without choosing the certain perturbation parameter. Some examples were discussed to study the variety regulations of deflections and stress of shells in the process of buckling, and the results were compared with those of other researchers.

关键词: spherical shallow shell, free-parameter perturbation method, nonlinear stability

Abstract: The free-parameter perturbation method is applied to solve the problems of nonlinear stability of spherical shallow shells under uniform load. As a modified perturbation method, the free-parameter perturbation method enables researchers to obtain all characteristic relations without choosing the certain perturbation parameter. Some examples were discussed to study the variety regulations of deflections and stress of shells in the process of buckling, and the results were compared with those of other researchers.

Key words: spherical shallow shell, free-parameter perturbation method, nonlinear stability

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals