中文摘要：

提出了P、SV波作用下层状土层地震反应分析的随机波动分析方法。在这一方法中，将波动理论和随机振动理论结合起来，求解波动方程和土层地震反应的统计参数，可以准确而又方便考虑地震波斜入射及基岩弹性刚度对土层地震反应的影响。文中进一步通过算例分析，探讨了P、SV波的入射角度、土层厚度以及基岩和土层间的剪切波速比等因素对土层随机地震反应的影响。

英文摘要：

A random wave-theory analysis method is developed for the random seismic response analysis of layered soil sites under the P- and SV- wave excitations. In this method, the random vibration analysis method is combined with wave theory to solve the wave equation and to obtain the seismic responses of the layered soil sites. The effects of incident angle of wave and elastic rock on the seismic responses of layered soil sites are considered precisely and conveniently. The influences of angle of incidence of P- and SV- wave, depth of layered soil, ratio of shear-wave velocities between rock and soil on the seismic responses of homogeneous soil layer on half-space are discussed through numerical results of several examples.