摘要
介绍了无网格方法中本质边界条件施加的几种常用方法.从基函数的选取、节点分布密度等对本质边界条件施加及收敛性的影响进行研究,比较了完全变换法、罚函数法及边界奇异权法在引入本质边界条件时的优缺点.其中基函数的选取对罚函数法的计算精度影响较大,而对完全变换法和边界奇异权法影响很小;通过对平面应力问题的研究发现,对于不同的节点分布密度,三种方法中罚函数法的收敛性最差.
In this paper, several methods for the implementation of essential boundary conditions of element-free methods are introduced. Influences of implementation of essential boundary conditions and convergence based on selection of basic functions and the density of the points etc. are studied. The ad- vantages and disadvantages of full transformation method, penalty method and boundary singular kernel method are compared. The selection of basic functions influences computational accuracy of penalty method more significantly, but has little influence on that of full transformation method and boundary singular kernel method; With the research of plain stress problem, it shows convergence of penalty method in three methods is the worst for different densities of scattered points.
出处
《青岛理工大学学报》
CAS
2007年第4期102-106,共5页
Journal of Qingdao University of Technology
关键词
无网格法
移动最小二乘近似
本质边界条件
element-free method
moving-least squares
essential boundary conditions
