湖南大学学报（自然科学版）2011，Vol.38Issue(1)：53-57,5.
自然邻接点局部Petrov-Galerkin法求解中厚板弯曲问题
Natural Neighbor Petrov-Galerkin Method for Moderately Thick Plates
摘要
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 Delaunay tessellations and domain integrals were evaluated over included Delaunay triangles by using the Gaussian quadrature scheme. The present method combines the advantage of easy imposition of essential boundary conditions of NEM with some prominent features of the MLPG. The numerical resuits have shown that the proposed method is easy to implement and very effective for these problems.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Key words
numerical methods/ bending analysis/ moderately thick plates/ meshless/ natural neighhour interpolation/ local Petrov-Galerkin method分类
数理科学引用本文复制引用
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):53-57,5.基金项目
国家自然科学基金资助项目(10972075) （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) （60870003）
高等学校博士学科点专项科研基金资助项目(20090161110012) （20090161110012）
