饱和层状地基的瞬态动力响应分析

Analysis of Transient Response of Saturated Layered Half-space Soil

在Biot饱和多孔介质理论的基础上,应用Laplace变换、Fourier级数展开和Hankel变换将波动方程转化为一组二阶常微分方程;运用薄层法原理在竖向进行离散求解,得到饱和层状地基Lamb问题的Laplace域内解答,并利用Laplace数值逆变换最终得到时域内的数值解答,最后,通过计算实例验证了本文方法.

The transient response of saturated layered ground subjected to concentrated loads is investigated.By using Laplace transform,Fourier series expansion and Hankel transform,the Biot＇s dynamic equations in each layer are reduced into a series of ordinary differential equations,which can be solved by thin layered method（TLM）.The general solutions for displacement and pore pressure in Laplace domain are derived by analytical inversion of Hankel transform,and the solutions in time domain are obtained by numerical inverison of Laplace transform.Finally,some examples are given to validate the method.