横观各向同性层状场地在SH波入射时共振特性

采用横观各向同性（以下简称TI）层状弹性体模拟半空间之上的场地上。首先推导了在入射SH波时TI弹性体界面上透射角的计算公式，然后利用笔记推得的入射平面SH简谐波时TI弹性土层的刚度矩阵及TI层状场地的响应计算公式，计算了典型TI层状场地在SH简谐波入射时的频响函数。计算表明，在入射角度较小时，场地的横、竖向模量比越大，则共振频率越低，而共振幅值越高。这一规律以研究TI场地中结构的响应及场地的响应有重要的参考价值。

Resonant Character of Transversely Isotropic Stratified Media

In this paper,the transversely isotropic (TI) stratified media are used to simulate the layered soils on a half space.At first,the transmissive angle formula of incident SH wave at the interface of TI soil layers is derived.Then the dynamic stiffness matrix of a single TI soil layer and the dynamic response formula of TI stratified media to an incident plane SH wave are used to evaluate the frequency response functions of the media,in which the soil profile beneath a superhigh building in Pu Dong Area,Shanghai,China,is adopted,and four TI stratified media and six SH wave incident angles are chosen.The calculated results show that when the incident angle of SH wave is smaller than a certain value,the larger the ratio of horizontal module to vertical module is,the lower the resonant frequency of the TI stratified media is,and the higher of the resonant amplitude of the media is.These regularities can also be observed in the TI stratified media with soft or hard soil layer inclusion.