NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

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

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NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

徐加初¹, 王乘¹, 刘人怀²

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

收稿日期:1999-07-05 修回日期:2000-05-25 出版日期:2000-09-18 发布日期:2000-09-18

NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

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

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

摘要/Abstract

摘要： 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.

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.

中图分类号:

O343.9

徐加初;王乘;刘人怀. NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 977-986.

XU Jia-chu;WANG Cheng;LIU Ren-huai . NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 977-986.

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NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS

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