Daubechies Wavelet Meshless Method for 2-D Elastic Problems  

作　　者：刘亚男 刘应华 岑章志 

机构地区：[1]epartment of Engineering Mechanics,Tsinghua University

出　　处：《Tsinghua Science and Technology》2008年第5期605-608,共4页清华大学学报（自然科学版（英文版）

基　　金：the National Natural Science Foundation of China (No. 19902007);the National Foundation for Excellent Doctoral Dis-sertations of China (No. 200025)

摘　　要：This paper introduces a meshless method based on Daubechies （DB） wavelets for 2-D elastic problems. The scaling and wavelet functions of the DB wavelet are used as basis functions to approximate the unknown field functions, so there is no need to construct costly shape functions as in the finite element method （FEM） and other meshless methods. In addition, the properties of the DB wavelets facilitate implementation of the method. The new method is used to analyze the elastic problem of a plain plate with a circle hole, and the numerical results agree well with the FEM. This method is effective and can be extended to solve complicated two or three dimensional problems.This paper introduces a meshless method based on Daubechies （DB） wavelets for 2-D elastic problems. The scaling and wavelet functions of the DB wavelet are used as basis functions to approximate the unknown field functions, so there is no need to construct costly shape functions as in the finite element method （FEM） and other meshless methods. In addition, the properties of the DB wavelets facilitate implementation of the method. The new method is used to analyze the elastic problem of a plain plate with a circle hole, and the numerical results agree well with the FEM. This method is effective and can be extended to solve complicated two or three dimensional problems.

关 键 词：WAVELET meshless method scaling function shape function 

分 类 号：O302[理学—力学]