Rocking response of flexible circular foundations on layered media

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The analysis of the response of a flexible circular foundation on layered media due to an arbitrarily distributed vertical loading is presented. The analysis is based on the 'ring method' approach, i.e. discretization of the foundation in a set of concentric rings. The arbitrarily distributed loading is expanded in the circumferential direction in a Fourier series. The influence coefficient matrix of soil for each element of the series is evaluated utilizing the stiffness matrix approach. The stiffness matrix of the foundation is obtained from the finite difference energy method approach. Numerical examples illustrate the influence of several soil-foundation parameters on the rocking response of a foundation. Results are presented in terms of displacement and soil reaction distributions and impedance functions point to significantly different responses of flexible and rigid foundations.

Original languageEnglish (US)
Pages (from-to)485-497
Number of pages13
JournalSoil Dynamics and Earthquake Engineering
Issue number8
StatePublished - Dec 1996

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Geotechnical Engineering and Engineering Geology
  • Soil Science


  • Circular
  • Flexible foundations
  • Impedance
  • Layered media
  • Rocking
  • Soil-structure interaction
  • Vertical
  • Vibrations


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