中文摘要：

针对很难用传统的数值解析法求解Lamb波在复合材料中传播时的频散曲线,提出一种快而有效获得频散曲线的方法,通过有限元软件对结构进行模态分析来获得Lamb波在结构中传播时的频散曲线。首先对Lamb波在薄板结构中传播的频散现象进行模态分析,提取各阶模态相对应的固有频率,然后计算得不同频厚积下Lamb波在薄板中传播的的相速度和群速度大小;通过Matlab拟合出薄板的频散曲线。与数值方法得到的频散曲线进行了对比。结果表明,该方法获得的频散曲线与数值方法获得的频散曲线相吻合,证明了该方法的正确性,最后运用此方法绘制了Lamb波在复合材料中传播时的频散曲线。

英文摘要：

It＇s difficult to obtain the dispersion curves of Lamb waves propagating in composite materials by traditional numerical analytics method. A fast and efficient method is presented to obtain the dispersion curves. The dispersion curves are obtained by simulating the Lamb wave propagation in samples based on the finite element modal analysis.Firstly,modal analysis of Lamb waves dispersion phenomena in thin plates is done,and the natural modal frequency of different modal is extracted. Then the phase velocity and group velocity of Lamb wave propagating in the thin plate at different frequency-thickness are calculated. The dispersion curves of Lamb waves propagating in thin pates are fitted in MATLAB and compared with the dispersion curve obtained by the numerical analytics method. The results show that the dispersion curves are coincident with the curves obtained by traditional numerical analytics method. It also shows the accuracy of this method. Finally,the method is applied to get the dispersion curves of Lamb waves propagating in composite materials.