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直角坐标下横观各向同性饱和半空间体动力响应问题的解析解
引用本文:黄义,王小岗.直角坐标下横观各向同性饱和半空间体动力响应问题的解析解[J].上海力学,2003,24(4):552-559.
作者姓名:黄义  王小岗
作者单位:[1]西安建筑科技大学土木工程学院,西安710055 [2]青海大学建工系,西宁810016
基金项目:国家自然科学基金重点项目(56978003)
摘    要:基于双重Fourier变换技术,成功求解了直角坐标系下,横观各向同性弹性饱和多孔介质的三维Biot动力方程,得到了以固体骨架位移分量和孔隙流体压力为基本未知量的积分形式一般解.进而,用一般解给出了饱和介质的总应力分量表达式。在此基础上,研究了在任意分布的表面竖向和水平谐振力作用下,横观各向同性饱和半空间体的动力响应问题。数值结果表明,采用各向同性饱和介质的动力学模型,不能准确描述具有明显各向异性特性的饱和土地基的动力性能。

关 键 词:Biot波动方程  横观各向同性饱和弹性介质  动力响应  双重Fourier变换
文章编号:0254-0053(2003)04-0552-08
修稿时间:2003年1月10日

Analytical Solutions of Dynamic Response of Transversely Isotropic Saturated with Media Half-space under Rectangular Coordinates
HUANG Yi,WANG Xiao-gang.Analytical Solutions of Dynamic Response of Transversely Isotropic Saturated with Media Half-space under Rectangular Coordinates[J].Chinese Quarterly Mechanics,2003,24(4):552-559.
Authors:HUANG Yi  WANG Xiao-gang
Abstract:A study of the dynamic response of half-space with transversely isotropic saturated poroelastic media under a circular non-axisymmetrical harmonic source was presented by using the technique of Fourier expansion and Hankel transform. However, the method may not be always valid. The work is extended to the case of an general harmonic source distributing on an arbitrary surface zone of the half-space with transversely isotropic saturated poroelastic media. Based on the Biot's theory the analysis was described. By the technique of double Fourier transform, the governing differential equation for transversely isotropic saturated poroelastic media was easily solved and the cooresponding Fourier transformed stress and displacement solutions were obtained. Under the boundary conditions, the analytical solutions for half-space were presented.
Keywords:Biot'wave equations  transversely isotropic saturated poroelastic media  dynamic response  double Fourier transform
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