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双层广义Gibson地基轴对称问题求解
引用本文:杜秦文,王金昌,朱向荣,王晓谋.双层广义Gibson地基轴对称问题求解[J].岩土力学,2007,28(5):933-938.
作者姓名:杜秦文  王金昌  朱向荣  王晓谋
作者单位:1. 长安大学,特殊地区公路工程教育部重点实验室,西安,710064
2. 浙江大学,建筑工程学院,杭州,310027
3. 浙江大学,宁波理工学院,宁波,315100
基金项目:长安大学科技发展基金重点项目
摘    要:假定双层地基土体为弹性、不可压缩、剪切模量随深度线性变化的广义Gibson地基,在两层土体剪切模量表达式常数项与一次项系数之比相同条件下,采用Hankel变换,得到了表面分布轴对称荷载时地基土体应力、位移的积分形式解,讨论了下层深度、剪切模量等对位移的影响。获得的解可退化到半空间情况。

关 键 词:非均质  Gibson地基  轴对称  Hankel变换
文章编号:1000-7598-(2007)05-0933-06
收稿时间:2005-03-07
修稿时间:2005-03-07

Solutions for axisymmetric problems of double layers generalized Gibson subgrade
DU Qin-wen,WANG Jin-chang,ZHU Xiang-rong,WANG Xiao-mou.Solutions for axisymmetric problems of double layers generalized Gibson subgrade[J].Rock and Soil Mechanics,2007,28(5):933-938.
Authors:DU Qin-wen  WANG Jin-chang  ZHU Xiang-rong  WANG Xiao-mou
Institution:1. Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang’an University, Xi’an 710064, China; 2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China; 3. Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China
Abstract:The exact analytical solutions for displacements and stress of a double layers generalized Gibson elastic subgrade subjected to an axisymmetric surface load are presented. It is assumed that the soil of the subgrade is incompressible and that the shear modulus varies linearly with depth. In the two layers, the ratios of coefficient of linear term to constant term of the shear modulus expression are also assumed to equal during analyzing. Selected numerical results for vertical displacements are presented to portray the influence of the degree of nonhomogeneity, depth of second layer and different stiffnesses of the two layers on the responses of the nonhomogeneous subgrade. Hankel transforms are used in the analysis.
Keywords:nonhomogeneous  Gibson subgrade  axisymmetric  Hankel transform
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