SINGULAR SOLUTIONS OF NON-AXISYMMETRIC DYNAMIC PROBLEM IN LAYERED ELASTIC HALF-SPACE
层状弹性半空间非轴对称动力问题的奇异解

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates. By the use of the matrix method to solve this system of equations, the transmission matrices of the layered medium are established. The singular solution in frequency domain for an arbitrarilly buried source acting in the multilayered elastic half-space is obtained by Fourier synthesis over frequency. The presented method can be applied to solid and fluid layers.