Analytical solution for the stationary response of alluvial valleys containing multiple circular-arc layers to incident plane P waves
圆弧状多层沉积谷地在平面P波入射下稳态响应的解析解

By the method of Fourier-Bessel series expansion of wave function,an analytical solution to the stationary dynamic response of alluvial valley containing an arbitrary number of circular-arc layers,which is excited by an incident plane P wave,is presented.Taking the three-layer valleys as examples and using the spatial distributions of amplitude of stationary ground motion,the influences of the layering of alluvial media in the valleys on the ground motion are studied in a broad frequency band.