Nonlinear stability of double-deck reticulated circular shallow spherical shell

作者：Xu, Jia-chu; Li, Yong; Wang, Fan; Liu, Ren-huai^*

来源：Applied Mathematics and Mechanics (English Edition ), 2010, 31(3): 279-290.

DOI：10.1007/s10483-010-0302-7

• double-deck reticulated circular shallow spherical shell
• nonlinear stability
• equivalent continuum method
• modified iteration method
• stationary complementary energy principle

Based on the variational equation of the nonlinear bending theory of double-deck 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.

• 出版日期2010-3
• 单位暨南大学