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Vertical vibration of an elastic strip footing on saturated soil
Author(s) -
Cai Y. Q.,
Cheng Y. M.,
Alfred Au S. K.,
Xu C. J.,
Ma X. H.
Publication year - 2007
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.634
Subject(s) - biot number , poromechanics , dimensionless quantity , vibration , mathematics , boundary value problem , mathematical analysis , geotechnical engineering , mechanics , engineering , physics , porous medium , porosity , quantum mechanics
Based on Biot's dynamic coupled equations, the vertical vibration of an elasticstrip 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.