Rocking vibration of a rigid strip footing on saturated soil

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

27 Citations (Scopus)


The dynamic response of a rigid strip footing lying on saturated soil is greatly affected by the pore pressure induced by a rocking moment. To consider the complex behavior of the soil under the rocking load, an analytical solution for a rigid strip foundation on saturated soil under a rocking moment is developed under the framework of Biot's coupling theory. The boundary-value problem for the governing coupling equations for saturated soil is solved using a Fourier transform to yield a pair of dual integral equations. These dual integral equations are transformed into a set of linear equations using an infinite series of orthogonal Jacobi polynomials to yield the compliance functions. In addition, a parametric study has been carried out to examine the influence of: (1) the dimensionless frequency, (2) the dynamic permeability and (3) the Poisson's ratio on saturated soil under a rocking rigid strip footing.
Original languageEnglish
Pages (from-to)928-933
Number of pages6
JournalComputers and Geotechnics
Issue number6
Publication statusPublished - 1 Jul 2009


  • Dual integral equations
  • Dynamic compliance coefficient
  • Rigid strip footing
  • Rocking vibration

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computer Science Applications


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