Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method

Yang Zhong, Jianhua Yin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

30 Citations (Scopus)


The theoretical solutions of eigenfrequencies and vibration modes of a rectangular thin plate on an elastic foundation with completely free boundary are derived by using a double finite cosine integral transform method. In the analysis procedure, the elastic foundation is regarded as a Winkler elastic foundation model. Because the basic dynamic elasticity equations of the thin plate on elastic foundation are only used, it is not needed to select the deformation function arbitrarily. Therefore, the solution developed in the present paper is more reasonable and more accurate. To prove the correctness of the solutions, numerical results obtained using the present solutions are compared with those in the literatures.
Original languageEnglish
Pages (from-to)268-275
Number of pages8
JournalMechanics Research Communications
Issue number4
Publication statusPublished - 1 Jun 2008


  • Eigenfrequencies
  • Elastic foundation
  • Finite cosine integral transform
  • Free boundary
  • Rectangular thin plate
  • Vibration modes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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