Nonlinear vibration of an axially loaded beam carrying multiple mass-spring-damper systems

O. R. Barry, D. C.D. Oguamanam, J. W. Zu

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

This paper deals with the nonlinear vibration of a beam subjected to a tensile load and carrying multiple spring-mass-dashpot systems. The nonlinearity is attributable to mid-plane stretching, damping, and spring constant. Explicit expressions are presented for the frequency equations, mode shapes, nonlinear frequency, and modulation equations. The validity of the results is demonstrated via comparison with results in the literature. Parametric studies are conducted on beams with varying boundary conditions to investigate the effect of the location and magnitude of the spring-mass-dashpot system, as well as the role of the tension.

Original languageEnglish
Pages (from-to)1597-1608
Number of pages12
JournalNonlinear Dynamics
Volume77
Issue number4
DOIs
StatePublished - Sep 2014

Keywords

  • Beam
  • Damper
  • Frequency-response curve
  • Nonlinear frequency
  • Spring-mass-dashpot
  • Vibration

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