Dynamic green’s functions for levy plates

L. A. Bergman, J. K. Hall, G. G.G. Lueschen, D. M. McFarland

Research output: Contribution to journalArticlepeer-review


The dynamic Green’s functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series. These are then applied to the solution of several free vibration problems wherein a plate is coupled to one or more discrete substructures. The solutions are exact to within the precision of the Green’s functions.

Original languageEnglish (US)
Pages (from-to)281-310
Number of pages30
JournalJournal of Sound and Vibration
Issue number2
StatePublished - Apr 8 1993
Externally publishedYes

ASJC Scopus subject areas

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


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