Analysis of non-uniform beam vibration

S. Y. Lee, H. Y. Ke, Y. H. Kuo

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


In this paper a systematic development of the solution theory for the non-uniform Bernoulli-Euler beam vibration, including both forced and free vibrations, with general elastically restrained boundary conditions, is presented. The frequency equation and dynamic forced response, which is shown in closed integral form, are concisely expressed in terms of the fundamental solutions of the system. If the exact, closed form fundamental solutions are not available, then approximate fundamental solutions can be obtained through a simple and efficient numerical method. The present analysis can also be applied to the vibrational analysis of a beam with viscous and hysteretic damping.

Original languageEnglish
Pages (from-to)15-29
Number of pages15
JournalJournal of Sound and Vibration
Issue number1
Publication statusPublished - 1990 Oct 8

All Science Journal Classification (ASJC) codes

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


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