THE ANALYSIS OF SHALLOW SHELLS BASED ON MULTIVARIABLE WAVELET FINITE ELEMENT METHOD

被引：0
|
作者：
Xingwu Zhang Xuefeng Chen1 Zhengjia He Zhibo Yang (State Key Laboratory for Manufacturing System Engineering
机构：
来源：
Acta Mechanica Solida Sinica | 2011年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
multivariable; B-spline wavelet on the interval; hyperboloidal shell; open cylindrical shell;
D O I：
暂无
中图分类号：
TB115 [计算数学的应用]; O241.82 [偏微分方程的数值解法];
学科分类号：
0701 ; 070102 ; 070104 ;
摘要：
Based on the generalized variational principle and B-spline wavelet on the interval (BSWI), the multivariable BSWI elements with two kinds of variables (TBSWI) for hyperboloidal shell and open cylindrical shell are constructed in this paper. Different from the traditional method, the present one treats the generalized displacement and stress as independent variables. So differentiation and integration are avoided in calculating generalized stress and thus the precision is improved. Furthermore, compared with commonly used Daubechies wavelet, BSWI has explicit expression and excellent approximation property and thus further guarantee satisfactory results. Finally, the effciency of the constructed multivariable shell elements is validated through several numerical examples.
引用
收藏
页码：450 / 460
页数：11
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