| Vertical vibrations of elastic foundation resting on saturated half-space |
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| 作者姓名： | 王国才 王哲 孟凡丽 |
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| 作者单位： | School of Civil Engineering and Architecture Zhejiang University of Technology，School of Civil Engineering and Architecture，Zhejiang University of Technology，School of Civil Engineering and Architecture，Zhejiang University of Technology，Hangzhou 310014，P.R.China，Hangzhou 310014，P.R.China，Hangzhou 310014，P.R.China |
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| 摘 要： | This paper is mainly concerned with the dynamic response of an elastic foun- dation of finite height bounded to the surface of a saturated half-space.The foundation is subjected to time-harmonic vertical loadings.First,the transform solutions for the governing equations of the saturated media are obtained.Then,based on the assumption that the contact between the foundation and the half-space is fully relaxed and the half- space is completely pervious or impervious,this dynamic mixed boundary-value problem can lead to dual integral equations,which can be further reduced to the Fredholm integral equations of the second kind and solved by numerical procedures.In the numerical exam- ples,the dynamic compliances,displacements and pore pressure are developed for a wide range of frequencies and material/geometrical properties of the saturated soil-foundation system.In most of the cases,the dynamic behavior of an elastic foundation resting on the saturated media significantly differs from that of a rigid disc on the saturated half-space. The solutions obtained can be used to study a variety of wave propagation problems and dynamic soil-structure interactions.
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| 关 键 词： | 渗透介质 垂直振动 弹性地基 对偶积分方程 |
| 收稿时间： | 13 March 2007 |
| 修稿时间： | 2007-03-13 |
Vertical vibrations of elastic foundation resting on saturated half-space |
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| Guo-cai Wang,Zhe Wang,Fan-li Meng.Vertical vibrations of elastic foundation resting on saturated half-space[J].Applied Mathematics and Mechanics(English Edition),2007,28(9):1199-1207. |
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| Authors: | Guo-cai Wang Zhe Wang Fan-li Meng |
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| Institution: | School of Civil Engineering and Architecture, Zhejiang University of Technology,Hangzhou 310014, P. R. China |
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| Abstract: | This paper is mainly concerned with the dynamic response of an elastic foun- dation of finite height bounded to the surface of a saturated half-space.The foundation is subjected to time-harmonic vertical loadings.First,the transform solutions for the governing equations of the saturated media are obtained.Then,based on the assumption that the contact between the foundation and the half-space is fully relaxed and the half- space is completely pervious or impervious,this dynamic mixed boundary-value problem can lead to dual integral equations,which can be further reduced to the Fredholm integral equations of the second kind and solved by numerical procedures.In the numerical exam- ples,the dynamic compliances,displacements and pore pressure are developed for a wide range of frequencies and material/geometrical properties of the saturated soil-foundation system.In most of the cases,the dynamic behavior of an elastic foundation resting on the saturated media significantly differs from that of a rigid disc on the saturated half-space. The solutions obtained can be used to study a variety of wave propagation problems and dynamic soil-structure interactions. |
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| Keywords: | saturated media elastic foundation vertical vibration dynamic compliance dual integral equations |
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