Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (3): 279-290.doi: https://doi.org/10.1007/s10483-010-0302-7
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XU Jia-Chu, LI Yong, WANG Fan, LIU Ren-Huai
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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.
2010 MSC Number:
74K25
XU Jia-Chu;LI Yong;WANG Fan;LIU Ren-Huai. Nonlinear stability of double-deck reticulated circular shallow spherical shell. Applied Mathematics and Mechanics (English Edition), 2010, 31(3): 279-290.
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-010-0302-7
https://www.amm.shu.edu.cn/EN/Y2010/V31/I3/279