Vibration and stability of an axially moving Rayleigh beam

Jer Rong Chang, Wei Jr Lin, Chun Jung Huang, Siu Tong Choi

Research output: Contribution to journalArticlepeer-review

82 Citations (Scopus)

Abstract

In this paper, the vibration and stability of an axially moving beam is investigated. The finite element method with variable-domain elements is used to derive the equations of motion of an axially moving beam based on Rayleigh beam theory. Two kinds of axial motions including constant-speed extension deployment and back-and-forth periodical motion are considered. The vibration and stability of beams with these motions are investigated. For vibration analysis, direct time numerical integration, based on a Runge-Kutta algorithm, is used. For stability analysis of a beam with constant-speed axial extension deployment, eigenvalues of equations of motion are obtained to determine its stability, while Floquet theory is employed to investigate the stability of the beam with back-and-forth periodical axial motion. The effects of oscillation amplitude and frequency of periodical axial movement on the stability of the beam are discussed from the stability chart. Time histories are established to confirm the results from Floquet theory.

Original languageEnglish
Pages (from-to)1482-1497
Number of pages16
JournalApplied Mathematical Modelling
Volume34
Issue number6
DOIs
Publication statusPublished - 2010 Jun

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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