| 自然邻接点局部Petrov-Galerkin法求解中厚板弯曲问题 |
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| 引用本文： | 李顺利,龙述尧,李光耀.自然邻接点局部Petrov-Galerkin法求解中厚板弯曲问题[J].湖南大学学报(自然科学版),2011,38(1):53-57. |
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| 作者姓名： | 李顺利 龙述尧 李光耀 |
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| 作者单位： | 湖南大学,汽车车身先进设计制造国家重点实验室,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目(10972075); 湖南大学汽车车身先进设计制造国家重点实验室自主研究课题资助项目(60870003); 高等学校博士学科点专项科研基金资助项目(20090161110012) |
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| 摘 要： | 将基于自然邻接点插值的无网格局部Petrov-Galerkin方法应用于分析中厚板弯曲问题.自然邻接点插值创建的形函数具有Kronecker Delta函数性质,故能够准确地直接施加本质边界条件.在板中面上的局部多边形子域上采用局部Petrov-Galerkin方法建立系统平衡方程,这些子域由Delaunay三角形创建...
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| 关 键 词： | 数值方法 弯曲分析 中厚板 无网格 自然邻接点插值 局部Petrov-Galerkin法 |
Natural Neighbor Petrov-Galerkin Method for Moderately Thick Plates |
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| LI Shun-li,LONG Shu-yao,LI Guang-yao.Natural Neighbor Petrov-Galerkin Method for Moderately Thick Plates[J].Journal of Hunan University(Naturnal Science),2011,38(1):53-57. |
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| Authors: | LI Shun-li LONG Shu-yao LI Guang-yao |
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| Institution: | LI Shun-li,LONG Shu-yao,LI Guang-yao (State Key Laboratory of Advanced Design and Manufacture for Vehicle Body,Hunan Univ,Changsha,Hunan 410082,China) |
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| Abstract: | This paper presented a meshless local Petrov-Galerkin method based on the natural neighbour interpolation for a plate described by the Reissner-Mindlin theory.The natural neighbour interpolation shape functions have Kronecker Delta function property,which facilitates the imposition of essential boundary conditions.The local weak forms of the equilibrium equations and the boundary conditions are satisfied in local polygonal sub-domains in the mean surface of the plate.These sub-domains were constructed with ... |
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| Keywords: | numerical methods bending analysis moderately thick plates meshless natural neighbour interpolation local Petrov-Galerkin method |
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