Vertical vibration of an elastic strip footing on saturated soil

Y. Q. Cai, Yung Ming Cheng, S. K.Alfred Au, C. J. Xu, X. H. Ma

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)493-508
Number of pages16
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number5
Publication statusPublished - 10 Apr 2008


  • Dual integral equations
  • Dynamic compliance coefficient
  • Elastic strip footing
  • Vertical vibration

ASJC Scopus subject areas

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials


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