The multivariable finite elements based on B-spline wavelet on the interval for 1D structural mechanics

被引:0
|
作者
Zhang, Xingwu [1 ]
Chen, Xuefeng [1 ]
He, Zhengjia [1 ]
Cao, Hongrui [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Mech Engn, State Key Lab Mfg Syst Engn, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
B-spline wavelet on the interval; multivariable; structural mechanics; CRACK IDENTIFICATION; VIBRATION; PLATES; BEAM; CONSTRUCTION;
D O I
暂无
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
Wavelet finite elements with two kinds of variables for l D structural mechanics are constructed based on B-spline wavelet on the interval (BSWI) and the generalized variational principle. In contrast to the traditional method, the BSWI element with two kinds of variables (TBSWI) can improve the solution accuracy of the generalized stress apparently, because generalized displacement and stress are interpolated separately. Another superiority of the elements constructed is the interpolating function BSWI, which has very good approximation property, further guarantees solution accuracy. Euler beam, Timoshenko beam and Elastic foundation beam are studied providing several numerical examples to verify the efficiency.
引用
收藏
页码:363 / 380
页数:18
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