Analytic solution to free vibration of rectangular plates

I. E. Harik, X. Liu, N. Balakrishnan

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.

Original languageEnglish
Pages (from-to)51-62
Number of pages12
JournalJournal of Sound and Vibration
Issue number1
StatePublished - Feb 22 1992

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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