瑞利面波频散曲线的理论计算研究

通过定义一种新的位移应力矢量和势矢量，导出了一种新的传递矩阵，其形式简单明了，而且所有的矩阵元素均为实数值且为无量纲量，这种独到的优点使得本文的方法在数值稳定性上得到了很好的改善，在此基础上本文还对表面位移及短波、长波近似进行了研究，数值计算结果验证了本文方法的有效性，且表明了本文的方法完全适用于平面瑞利面波频散曲线的理论计算，扩宽了本文方法的应用范围。

Research on Theoretic Computation of Rayleigh Wave Dispersion Curve

A new displacement stress vector and potential vector is defined,then a new transfer matrix is deduced.The transfer matrix is very simple and its elements are all real and dimensionless. These special advantages make our method very stable in numerical computations. Research on the surface displacement and asymptotic form for short and long wavelengths is also given on the basis of the dispersion equation. The results of numerical computation testify our method and indicate that our method can also be used to theoretically compute the dispersion curves of plane Rayleigh wave. This extends the application range of our method.