用薄层法分析层状地基中各种基础的阻抗函数

薄层法是分析和模拟弹性波在层状介质中传播的一种半解析半数值方法.采用薄层单元和傍轴边界分别模拟层状地基和弹性半空间.利用薄层法位移基本解和容积法推导了层状地基中基础-地基动力相互作用方程及块式基础、桩基础和承台群桩基础阻抗函数的统一计算公式.通过计算半无限弹性地基中桩基础、块式基础和二层地基上基础的阻抗函数验证了方法的适用性.进而计算了某实际层状地基中承台群桩基础的阻抗函数,并与试验结果进行对比,两者吻合较好.本文方法可用于分析弹性层状地基中各种基础的阻抗函数.

Impedance Functions Analysis of Various Foundations Embedded in Stratified Soils by Using Thin Layer Method

The thin layer method is a semi-analytical and semi-numerical approach for the analysis of elastic wave propagation in stratified media.The layered soils and elastic half-space were simulated by thin layer elements and paraxial boundary respectively.The governing equation of dynamic soil-foundation interaction and the uniform formula of impedance functions of block foundation,pile foundation and group piles foundation with footing were derived by flexible volume method and fundamental displacement solutions of thin layer method.The method was certified by comparing the impedance functions of pile foundations and block foundations in elastic half-space and on 2-layer soils with those by other numerical methods.Furthermore,the impedance functions of group piles foundation with footing in a practical layered site were calculated and the calculated results were consistent with the experimental ones.The method is feasible for the analysis of impedance functions of various foundations in elastic stratified soils.