Green's function synthesis for sandwiched distributed parameter systems

G. G.G. Lueschen, L. A. Bergman

Research output: Contribution to journalArticlepeer-review


Dynamic Green's functions for a class of layered distributed parameter systems are derived using a new method. The resulting system Green's function, which is comprised of the elemental Green's function of each of the substructures, defines the dynamics of the fully coupled system. Green's functions for sandwiched beams with both identical and different layer properties are derived. The result, which retains the accuracy of the elemental Green's functions, is exact for systems of Euler-Bernoulli beams. The application of the method to systems of other layered structures is immediate as long as the the elemental Green's functions of the substructures are known.

Original languageEnglish (US)
Pages (from-to)613-627
Number of pages15
JournalJournal of Sound and Vibration
Issue number5
StatePublished - Apr 18 1996

ASJC Scopus subject areas

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


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