Vertical vibration of an elastic strip footing on saturated soil |
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| Authors: | Y Q Cai Y M Cheng S K Alfred Au C J Xu X H Ma |
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| Institution: | 1. Institution of Geotechnical Engineering, Zhejiang University, China;2. Professor.;3. Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Hunghom, Hong Kong;4. Associate Professor.;5. Department of Civil Engineering, University of Hong Kong, Pokfulam Road, Hong Kong;6. Assistant Professor.;7. Research student. |
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| Abstract: | Based on Biot's dynamic coupled equations, the vertical vibration of an elastic strip footing on the surface of saturated soil is studied. Utilizing the Fourier transform, the governing dynamic differential equations for saturated poroelastic medium are solved. Considering the mixed boundary value conditions at the bottom of the foundation, a pair of dual integral equations about the vertical vibration of an elastic strip footing is derived, which can be converted to a set of linear equations by means of infinite series of orthogonal functions. The relation between the dynamic compliance coefficients and the dimensionless frequency tends to be gentle with decreasing footing rigidity, while the dimensionless frequency has only small effect on the dynamic compliance coefficients. When the dynamic permeability is large, its effect on the dynamic compliance coefficients should be taken into consideration. Furthermore, the dynamic compliance coefficients are found to be not sensitive to Poisson's ratio of the soil for footing on saturated soil. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | dynamic compliance coefficient elastic strip footing dual integral equations vertical vibration |
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