Prediction of vibration of rotating damped beams with arbitrary pretwist

Shueei Muh Lin, Jenn Fa Lee, Sen Yung Lee, Wen Rong Wang

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A solution procedure for the bending-bending vibration of a rotating damped beam with arbitrary pretwist and an elastically restrained root is derived. The viscous damping is assumed to be proportional to the distributed mass. The general complex system is divided into two subsystems. The physical meanings of the subsystems are studied. The exact complex frequency relations between two viscously damped beams with arbitrary pretwist and elastic root are revealed. The underdamping, critical damping and overdamping systems are analyzed. Moreover, the influence of the parameters on the decay rate, the natural frequencies, the critical damping, and the phenomenon of divergence instability are investigated.

Original languageEnglish
Pages (from-to)1494-1504
Number of pages11
JournalInternational Journal of Mechanical Sciences
Volume48
Issue number12
DOIs
Publication statusPublished - 2006 Dec 1

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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