Dynamic responses of canyon with multiple arc-shaped layers under incidence of plane SV waves

By using the Fourier-Bessel series expansion of wave function, obtained is the analytical solution to the dynamic responses of canyon with multiple arc-shaped alluvial layers under the incidence of plane SV waves. Comparison of the results of single-layered canyon validates the rightness of the proposed analytical solution. From this analytical solution, the layering effects, such as the number of layers, their sequence and the stiffness and thickness of soft interlayers, of the overlying alluvia on the ground motion are studied.