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埋置力源下横观各向同性饱和地基的三维Lamb问题解答

王小岗

岩土工程学报2009,Vol.31Issue(11):1686-1691,6.
岩土工程学报2009,Vol.31Issue(11):1686-1691,6.

埋置力源下横观各向同性饱和地基的三维Lamb问题解答

3D Lamb's problm in transversely isotropic saturated soils subjected to internal excitation

王小岗1

作者信息

  • 1. 台州学院建筑工程学院,浙江,台州,318000
  • 折叠

摘要

Abstract

Based on the Blot's theory for fluid-saturated porous media, the 3D wave equations for transversely isotropic saturated soils in cylindrical coordinate are transformed into the two uncoupling governing differential equations by introducing displacement functions, and the general solutions are presented by the operator theory. Then, the differential equations are solved by the Fourier expanding and Hankel integral transform methods. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for saturated soils are obtained. Furthermore, the systematic study on Lamb's problems in the transversely isotropic saturated soils subjected to the internal excitation is performed. The calculated results indicate the rapid vibration attenuation of vertical surface displacement of the saturated soils subjected to a low-frequency interior excitation in small depth.

关键词

横观各向同性/饱和土/Biot波动方程/Lamb问题

Key words

transverse isotropy/ saturated soils/ Blot's wave equation/ Lamb's problem

分类

建筑与水利

引用本文复制引用

王小岗..埋置力源下横观各向同性饱和地基的三维Lamb问题解答[J].岩土工程学报,2009,31(11):1686-1691,6.

基金项目

国家自然科学基金项目(50678108) (50678108)

浙江省自然科学基金项目(Y106264) (Y106264)

岩土工程学报

OA北大核心CSCDCSTPCD

1000-4548

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