摘要
结合弹性材料修正后的H-R变分原理和区间B样条小波函数,建立Hamilton正则方程的区间B样条小波元列式.首先简要地介绍了弹性材料修正后的H-R变分原理,然后将区间B样条小波的尺度函数作为基函数,详细地推导了Hamilton正则方程的区间B样条小波元列式.数值算例验证了B样条小波元列式的正确性.
B-spline wavelet on the interval (BSWI) element of Hamilton canonical equation was established by combining the modified Hellinger-Reissner (H-R) variational principle for elastic material with B-spline wavelet function on the interval. The modified H-R variational principle for elastic material was presented,and the BSWI element of Hamilton canonical equation was derived from the variational principle with the scaling function of B- spline wavelet on the interval. The results of numerical examples show the correctness of the BSWI element formulation proposed
出处
《动力学与控制学报》
2009年第1期50-54,共5页
Journal of Dynamics and Control
基金
天津市自然科学基金资助项目(07JCYBJC02100)~~
关键词
HAMILTON正则方程
区间B样条小波
小波单元
半解析法
固有频率
Hamilton canonical equation, B-spline wavelet on the interval, wavelet-based finite element, semi-analytical solution, natural frequency