您的位置:首页  > 论文页面

无网格法中多项式基函数的正交性研究及应用

发表时间:2010-02-15  浏览量:1424  下载量:694
全部作者: 周立明,孟广伟,李锋,赵云亮
作者单位: 吉林大学机械科学与工程学院;吉林大学汽车动态模拟国家重点实验室
摘 要: 通过对无网格法中基函数正交性的研究,得出使用多项式基函数与正交基函数的无网格法形函数相一致的结论,二者一阶、二阶导数也一致。正交基函数对无网格法解的精度不产生影响,使矩阵成为对角矩阵,求逆变得简单,缩短了计算时间,使得无网格法具有更好的实用价值,并通过算例证明了结论。
关 键 词: 固体力学;无网格法;移动最小二乘法;正交基函数;权函数
Title: Research and application on orthogonality of the polynomial basis function in element�free method
Author: ZHOU Liming, MENG Guangwei, LI Feng, ZHAO Yunliang
Organization: College of Mechanical Science and Engineering, Jilin University;State Key Laboratory of Automobile Dynamic Simulation, Jilin University
Abstract: By studying the orthogonality of the basis function in the element�free method, the shape functions, obtained by using the orthogonal basis function, have been proved to be identical to that of using the polynomial basis function, and their first and second order derivatives also have the same property. The orthogonality of the basis function does not affect the precision of the solution of the element�free method, however, it can change a matrix into a triangular matrix, which makes it easier to solve the inverse matrix, and it can reduce the computing time, and make the element�free method more practical. Computational examples were used to illustrate the conclusion.
Key words: solid mechanics; element�free method; moving least�square; orthogonal basis function; weight function
发表期数: 2010年2月第3期
引用格式: 周立明,孟广伟,李锋,等. 无网格法中多项式基函数的正交性研究及应用[J]. 中国科技论文在线精品论文,2010,3(3):284-292.
 
2 评论数 0
暂无评论
友情链接