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Nonlinear analysis of imperfect squarely-reticulated shallow spherical shells
引用本文:NIE GuoHua & LI ZhiWei Institute of Applied Mechanics,School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China. Nonlinear analysis of imperfect squarely-reticulated shallow spherical shells[J]. 中国科学G辑(英文版), 2007, 50(1): 109-117. DOI: 10.1007/s11433-007-0001-6
作者姓名:NIE GuoHua & LI ZhiWei Institute of Applied Mechanics  School of Aerospace Engineering and Applied Mechanics  Tongji University  Shanghai 200092  China
作者单位:NIE GuoHua & LI ZhiWei Institute of Applied Mechanics,School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
基金项目:Supported in part by the Program for New Century Excellent Talents in University by the Ministry of Education of China (NCET-04-0373)
摘    要:Nonlinear behavior of single-layer squarely-reticulated shallow spherical shells with geometrical imperfections subjected to a central concentrated (joint) load has been studied in this paper. Using the asymptotic iteration method, an analytical characteristic relationship between the non-dimensional load and central deflection is obtained. The resulting asymptotic solution can be used readily to perform the analysis of parameters and predict the buckling critical load. Meanwhile, numerical examples are presented and effects of imperfection factor and boundary conditions on buckling of the structures are discussed. Comparisons with data based on the finite element method show good exactness of the resulting solution.

收稿时间:2005-12-03
修稿时间:2006-07-18

Nonlinear analysis of imperfect squarely-reticulated shallow spherical shells
NIE GuoHua,LI ZhiWei. Nonlinear analysis of imperfect squarely-reticulated shallow spherical shells[J]. Science in China(Physics Astronomy), 2007, 50(1): 109-117. DOI: 10.1007/s11433-007-0001-6
Authors:NIE GuoHua  LI ZhiWei
Affiliation:Institute of Applied Mechanics,School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
Abstract:Nonlinear behavior of single-layer squarely-reticulated shallow spherical shells with geometrical imperfections subjected to a central concentrated(joint)load has been studied in this paper.Using the asymptotic iteration method,an analytical characteristic relationship between the non-dimensional load and central deflection is obtained.The resulting asymptotic solution can be used readily to perform the analysis of parameters and predict the buckling critical load.Meanwhile,numerical examples are presented and effects of imperfection factor and boundary conditions on buckling of the structures are discussed.Comparisons with data based on the finite element method show good exactness of the resulting solution.
Keywords:shallow spherical shell  squarely-reticulated  geometrical imperfection  concentrated load  nonlinear buckling  asymptotic iteration method
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