Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

WANG Guo-cai; WANG Zhe; MENG Fan-li

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(9): 1071-1078

WANG Guo-cai, WANG Zhe, MENG Fan-li. Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1071-1078.

Citation:

WANG Guo-cai, WANG Zhe, MENG Fan-li. Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1071-1078.

Citation:

WANG Guo-cai, WANG Zhe, MENG Fan-li. Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1071-1078.

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Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, P. R. China

Received Date: 2007-03-13
Rev Recd Date: 2007-07-09
Publish Date: 2007-09-15

Abstract

Abstract

The dynamic response of an elastic foundation of finite height bonded to the surface of a saturated halfspace is mainly concerned with. The foundation is subjected to time-harmonic vertical loadings. First, the transform solutions for the governing equations of the saturated media were obtained. Then, based on the assumption that the contact between the foundation and the halfspace was fully relaxed and the half-space was 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 examples, the dynamic compliances, displacements and pore pressure are developed for a wide range of frequencies and material/geometrical properties of the saturated soilfoundation system. In most 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.
- saturated medium,
- elastic foundation,
- vertical vibration,
- dynamic compliance,
- dual integral equation

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References(15)

References

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