Dynamic response of alluvial valley containing multiple circular-arc layers incident by plane SV waves
圆弧状多层沉积谷地在平面SV波入射下的动力响应

Firstly, by the method of Fourier-Bessel series expansion of wave functions, deducted is the analytical solution to the stationary dynamic response of alluvial valley containing arbitrary number of circular-arc layers, which is excited by the incident plane SV wave. And the convergence of this series-form analytical solution with the truncation number of terms is analyzed, which demonstrates that the proposed series solution can converge in a very broad frequency band. Secondly, the comparison with the other existing analytical solution under the simplified conditions, validates the correctness of the proposed solution. At last, using the proposed analytical solution and introducing the amplitude and the phase difference of the stationary ground motion displacement as the basic parameters, the influence, which the layering of the deposits in the valley imposes on the ground motion, is discussed in a broad frequency band, which shows that as to the multi-layered valley, when the frequency of incident wave is high, the interference among different scattering waves is distinct, and the phenomenon of energy focus appears accordingly.