Green's functions for uniform Timoshenko beams

G. G.G. Lueschen, L. A. Bergman, D. M. McFarland

Research output: Contribution to journalArticlepeer-review


The vibration and control of distributed parameter systems is a topic of ongoing interest. The availability of closed form expressions for the Green's functions (or, equivalently, transfer functions) of individual elements facilitates the analysis of these systems. In this paper, a concise formulation is given for the Green's functions of uniform Timoshenko beams. It is shown that Green's functions for uniform Euler-Bernoulli beams, both with and without constant axial loads, can be expressed in the same form.

Original languageEnglish (US)
Pages (from-to)93-102
Number of pages10
JournalJournal of Sound and Vibration
Issue number1
StatePublished - Jul 4 1996

ASJC Scopus subject areas

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


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