层合板固有频率分析的B样条小波元法

B-SPLINE WAVELET FINITE ELEMENT METHOD FOR ANALYZING NATURAL FREQUENCIES OF LAMINATED PLATES

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