平面P-SV波入射时TI层状自由场地的响应

DYNAMIC ANALYSIS ON RESPONSE OF TRANSVERSELY ISOTROPIC STRATIFIED MEDIA TO INCIDENT P-SV WAVES

由于沉积土层的垂直弹性模量常常不同于水平弹性模量,采用横观各向同性(TI)层状场地模型能较真实地反映实际场地。研究了横观各向同性层状场地对平面入射P-SV波的响应,并考虑了平面内偏振角的影响。根据波动方程,采用了薄层元素法,推导了平面P-SV波入射时TI层状场地的动力刚度矩阵。通过算例,分析了TI层状场地的自振特性及各向异性参数对场地响应的影响。

The dynamic response of soil to incident plane P-SV waves is studied in this paper. Since the horizontal elastic moduli are often different from the vertical ones,a model of transversely isotropic(TI) stratified media,which takes into account the polarization angles,is used to simulate the soil ground situated on a half space. The dynamic stiffness matrix of the media and the formula of their response to P-SV waves are derived. Some examples are given and the numerical results are taken to illustrate resonant characteristics of the ground and the effects of the anisotropic parameters on field responses.