Free vibration characteristics of structures with nonlinear underlying soil

Kamal A.F. Moustafa, M. El-Gebeily

Research output: Contribution to journalArticlepeer-review


Free vibration of structures is investigated by using a multidegree of freedom nonlinear model that allows for nonlinear behavior of the soil underlying the structure. The considered nonlinearity is due to the dependence of the soil shear modulus on vibration levels. The soil-structure interaction is modelled as nonlinear complex stiffness. The analysis is carried out by using mathematical perturbation theory. Modifications in the natural frequencies and existence of harmonics are demonstrated. The results are applied to an application example of massive deep water gravity structure.

Original languageEnglish
Pages (from-to)95-99
Number of pages5
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number1
Publication statusPublished - Jan 1991
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Acoustics and Ultrasonics


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