Dynamic analysis of a beam resting on an elastic half-space with inertial properties

S. Guenfoud, S. V. Bosakov, D. F. Laefer

Research output: Contribution to journalArticlepeer-review


This work gives a semi-analytical approach for the dynamic analysis of beams and plates resting on an elastic half-space with inertial properties. Such calculations have been associated with significant mathematical challenges, often leading to unrealizable computing processes. Therefore, this paper presents a detailed analysis of Green's function defining surface displacements of such a space in the contact zone with structures, which allows determination of reactive forces and other physical magnitudes. The obtained solutions can be applied to (i) study dynamic interaction between soil and structures, (ii) determine transient wave fields caused by a seismic source, and (iii) assess numerical computations with different numerical methods programs. Natural frequencies, natural shapes, and the dynamic response of a beam due to external harmonic excitation are determined. Eigenfrequencies and Eigenshapes are presented. Validation with a Boussinesq problem illustrates the inertia effect on the results of the dynamic analysis.

Original languageEnglish (US)
Pages (from-to)1198-1207
Number of pages10
JournalSoil Dynamics and Earthquake Engineering
Issue number8
StatePublished - Aug 2009


  • Beam
  • Dynamic response
  • Eigenfrequencies
  • Eigenshapes
  • Green's function
  • Ground inertia

ASJC Scopus subject areas

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


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