横观各向同性饱和地基的稳态动力响应分析  

Harmonic responses analysis in transversely isotropic saturated foundation

作　　者：王小岗[1] 黄义[2] 

机构地区：[1]青海大学建工系,青海西宁810016 [2]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《青海大学学报（自然科学版）》2004年第4期1-6,共6页Journal of Qinghai University(Natural Science)

基　　金：国家自然科学基金(56978003);教育部春晖计划"冻融影响下高等级沥青砼路面动力性能研究"科研启动基金

摘　　要：基于双重Fourier变换技术,在直角坐标系下求解了横观各向同性饱和地基的三维Biot动力方程,得到地基位移分量、孔隙流体压力和总应力分量的积分形式一般解。继而利用一般解研究了横观各向同性饱和地基在任意分布的表面谐振力作用下的动力响应问题。A study of the harmonic responses of transversely isotropic saturated subsoil under a circular non-axisymmetrical harmonic source has been presented in recent paper by the authors using the technique of Fourier expansion and Hankel transformation.However,the method may not always by valid.In this paper,the work is extended to the case of general harmonic source distributing on arbitrary surface zone on the half-space with transversely isotropic saturated subsoil.Based on the Biot's theory and by the technique of double Fourier transformation,the governing differential equations for transversely isotropic asturated soils are easily solved and the solutions of stress and displacement in Fourier transformed zone are obtained.Then,under the boundary conditions,the analytical solutions of harmonic response for subsoil are presented.

关 键 词：BIOT波动方程 横观各向同性饱和地基 稳态响应 双重Fourier变换 

分 类 号：TU43[建筑科学—岩土工程]