Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 977-986.

• Articles •     Next Articles

NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

XU Jia-chu1, WANG Cheng1, LIU Ren-huai 2   

  1. 1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    2. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China
  • Received:1999-07-05 Revised:2000-05-25 Online:2000-09-18 Published:2000-09-18

Abstract: The theory of nonlinear stability for a truncated shallow conical shell with variable thickness under the action of uniform pressure was presented. The fundamental equations and boundary conditions were derived by means of calculus of variations. An analytic solution for the critical buckling pressure of the shell with a hyperbolically varying thickness is obtained by use of modified iteration method. The results of numerical calculations are presented in diagrams, which show the influence of geometrical and physical parameters on the buckling behavior.

2010 MSC Number: 

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