Forced vibration of a damped combined linear system

L. A. Bergman, J. W. Nicholson

Research output: Contribution to journalArticlepeer-review


A new and general method for determining the exact undamped natural frequencies and natural modes of vibration, the orthogonality relation for the natural modes, and the response to arbitrary excitation for both damped and undamped combined linear systems is given. The method, based upon Green’s functions of the vibrating distributed subsystems, is demonstrated for a multiplicity of linear oscillators connected to a simple beam.

Original languageEnglish (US)
Pages (from-to)275-281
Number of pages7
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number3
StatePublished - Jul 1985

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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