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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (3): 279-290.doi: https://doi.org/10.1007/s10483-010-0302-7

• Articles • 上一篇    下一篇

Nonlinear stability of double-deck reticulated circular shallow spherical shell

徐加初 李勇 王璠 刘人怀   

  1. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China
  • 收稿日期:2009-06-23 修回日期:2009-12-16 出版日期:2010-03-01 发布日期:2009-03-01

Nonlinear stability of double-deck reticulated circular shallow spherical shell

 XU Jia-Chu, LI Yong, WANG Fan, LIU Ren-Huai   

  1. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China
  • Received:2009-06-23 Revised:2009-12-16 Online:2010-03-01 Published:2009-03-01

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1517

被引次数

6

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.

Abstract: 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.

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