弹性层和饱和半空间体系稳定动力响应

STEADY STATE RESPONSE OF ELASTIC SOIL LAYER AND SATURATED LAYERED HALF-SPACE

弹性层和饱和半空间模型是一种具有理论价值及工程背景的地基模型.本文针对这一模型,采用积分变换方法研究了其表面受稳态激振下的动力响应.本文针对两种界面连续条件推导了响应的积分形式解,并将其蜕化为饱和弹性半空间及固体弹性半空间的积分形式解,文末利用数值积分技术作了有意义的算例分析.本文为饱和分层地基的动力响应计算提供了有效方法,同时也为进一步利用边界元法解决此类地基的波传播问题、动力相互作用问题开拓了一条途径.

The steady state response of a saturated layered half-space activated by a concentrated load acting vertically on the surface is studied in this paper. Based on the modified Blot's model for saturated soil, the integral solutions for the surface displacement are obtained by means of Hankel's transform.The analysis presented does't rely on the potential theory. In addition, the interface between the elastic soil layer and the saturated substratum is considered to be either drained or undrained. The solutions are also reduced to the solutions of saturated half-space and the solutions of Lamb's problem for a conventional elastic medium. Moreover, numerical examples are presented. The effects of permeability and porosity on the results in the case of drained and undrained interface are investigated.