Nonlinear stability of double-deck reticulated circular shallow spherical shell  

作　　者：徐加初 李勇 王璠 刘人怀 

机构地区：[1]Institute of Applied Mechanics,Jinan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第3期279-290,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 19972024);the Key Laboratory of Disaster Forecast and Control in Engineering, Ministry of Education of China;the Key Laboratory of Diagnosis of Fault in Engineering Structures of Guangdong Province of China

摘　　要：Based on the variational equation of the nonlinear bending theory of doubledeck reticulated shallow shells, equations of large deflection and boundary conditions for a double-deck reticulated circular shallow spherical shell under a uniformly distributed pressure are derived by using coordinate transformation means and the principle of stationary complementary energy. The characteristic relationship and critical buckling pressure for the shell with two types of boundary conditions are obtained by taking the modified iteration method. Effects of geometrical parameters on the buckling behavior are also discussed.Based on the variational equation of the nonlinear bending theory of doubledeck reticulated shallow shells, equations of large deflection and boundary conditions for a double-deck reticulated circular shallow spherical shell under a uniformly distributed pressure are derived by using coordinate transformation means and the principle of stationary complementary energy. The characteristic relationship and critical buckling pressure for the shell with two types of boundary conditions are obtained by taking the modified iteration method. Effects of geometrical parameters on the buckling behavior are also discussed.

关 键 词：double-deck reticulated circular shallow spherical shell nonlinear stability equivalent continuum method modified iteration method stationary complementary energy principle 

分 类 号：O344.1[理学—固体力学]