h-Adaptive Analysis Based on Meshless Local Petrov-Galerkin Method with B Spline Wavelet for Plates and Shells

被引：0

作者：

Li D. ^{[1
,2
]}

Lin Z. ^{[2
]}

机构：

[1] School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo

[2] School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai

来源：

Acta Mechanica Solida Sinica | 2009年 / 22卷 / 4期

关键词：

adaptive analysis; meshless local Petrov-Galerkin method; meshless methods; multi-resolution analysis; plate and shell;

D O I：

10.1016/S0894-9166(09)60282-2

中图分类号：

学科分类号：

摘要：

Using the two-scale decomposition technique, the h-adaptive meshless local Petrov-Galerkin method for solving Mindlin plate and shell problems is presented. The scaling functions of B spline wavelet are employed as the basis of the moving least square method to construct the meshless interpolation function. Multi-resolution analysis is used to decompose the field variables into high and low scales and the high scale component can commonly represent the gradient of the solution according to inherent characteristics of wavelets. The high scale component in the present method can directly detect high gradient regions of the field variables. The developed adaptive refinement scheme has been applied to simulate actual examples, and the effectiveness of the present adaptive refinement scheme has been verified. © 2009 The Chinese Society of Theoretical and Applied Mechanics.

引用

页码：337 / 346

页数：9

共 15 条

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