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Nonlinear Analysis and Optimization of Shallow Shells of Variable Thickness
作者姓名:叶志明
摘    要:NomenclaturelintroductionWiththerapiddevelopmelltinshellanalysis,flexibleshellshavefoundWiderapplicationsinengineering.Muchattentionisculal.entlyfoctlsedonthenonlinearbendingandstabilityproblemsofthoseshells.Thebehaviorofflexibleshellsisgovernedbynonlinea…

收稿时间:5 May 1997

Nonlinear analysis and optimization of shallow shells of variable thickness
Zhiming Ye Ph. D..Nonlinear Analysis and Optimization of Shallow Shells of Variable Thickness[J].Journal of Shanghai University(English Edition),1997,1(2):105-111.
Authors:Zhiming Ye Ph D
Institution:School of Architectual Engineering
Abstract:This paper is concerned with the nonlillear bending, stability and optimal design of revolution shallowshells with variable thickness. The problems are investigated by means of a modified iterative method proposedearlier by the author. Solutiolls for nonlinear bedding and stability problems of revolution shallow shells withvariable thickness, such as spherical and conical shells, are presented. Deflections and critical loads for stability arecalculated and the numerical results are plotted and given in tabular forms. It is showil that the equation determiningthe maximum deflection and the load coincides with the cusp catastrophe manifold. The optimal design of plates andshells, in Which the volullle is minimized or the critical load of shells is maximized, is investigated. When the volumeoftlle shell and the arch height of the shell are given, the variable thickness parameter can be solved. In addition, thispaper also gives tile constraint optimization of nonlinear bedding of circular plates.
Keywords:shallow shell of variable thickness  optimal design  besign and stability  
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