Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell

XU Jia-chu; LI Yong; WANG Fan; LIU Ren-huai

doi:10.3879/j.issn.1000-0887.2010.03.002

Volume 31 Issue 3

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XU Jia-chu, LI Yong, WANG Fan, LIU Ren-huai. Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell[J]. Applied Mathematics and Mechanics, 2010, 31(3): 261-272. doi: 10.3879/j.issn.1000-0887.2010.03.002

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Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell

doi: 10.3879/j.issn.1000-0887.2010.03.002

Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2009-12-16
Publish Date: 2010-03-15

Abstract

Abstract

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 doubledeck reticulated circular shallow spherical shell under a uniformly distributed pressure were derived by using coordinate transformation means and stationary complementary energy principle. The characteristic relationship and critical buckling pressure for the shell with two types of boundary conditions were obtained by taking the modified iteration method. The effects of geometrical parameters on the buckling behavior were also discussed.

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References(29)

References

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