Rayleigh表面波理论频散曲线的特征方程解法

The Method of Solving Characteristic Equation for Compu-ting Surface Wave Theoretical Dispersion Curve

根据弹性波在层状地基中的传播方程，求出介质中的位移和应力分布，然后按照边界条件和各层面之间法向和切向作用力的连续条件，导出Ｒａｙｌｅｉｇｈ表面波传播的特征方程。求解该特征方程，得到表面波的理论频散曲线。这一方法不仅简单有效，计算速度快，而且避免了其他方法在数值计算中出现的困难，因而在无损伤检测的表面波谱分析方法中具有重要的作用。

n this paper,a method of solving characteristic equation for the computation of Rayleigh wave theoretical dispersion curve in a layered media is presented.According to the elastic wave propagation theory in a layered media,the displacements and the stresses in media are obtained.Then,the characteristic equation of Rayleigh wave propagation is derived by using the boundary conditions and the continuous conditions of the forces between layers,To solve the equation,the theoretical dispersion curve of surface wave can be given.This method is simple and effective.Morever,it can avoid some difficulties in computation,which will appear if adopting other methods, The method will play an important role in Spectum Analysis of Surface Wave(SASW)for nondestructive inspection.