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Novel thin plate element theory based on a continuity re-relaxed technique

Science China(Technological Sciences) 2010年第9期53卷 2450-2457页

作者： CUI XiangYang,LI GuangYao & ZHENG Gang State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha 410082,China 1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan University Changsha 410082 China

Thin plate problem has been receiving much interest due to its wide application in *** this paper,a novel thin plate element theory is proposed based on a continuity re-relaxed technique to avoid the high continuity requirement for thin plate formulation which needs the high computation *** problem is first discretized into a set of background cells with field nodes,and only deflection field is treated as the field *** top of the background cells,the integration domains are further *** curvatures over integration domains are restructured through the divergence theorem,and the continuity requirement of the trial deflection function for thin plate problems can be *** Galerkin weak form is then used to create the discretized system *** curvatures in the integration domains are constant,and the stiffness matrix of the system can be computed directly without numerical *** rotational essential boundary conditions are imposed in the process of curvature field *** numerical examples are computed using the RPIM approximation *** excellent results demonstrate the efficiency of the proposed method.

关键词： thin plate problem continuity re-relaxed curvature field restructured Galerkin weak form

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