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Parametric resonance of an axially accelerating viscoelastic beam with non-typical boundary conditions

  • L. Q. Chen*
  • , X. D. Yang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Principal parametric resonance in transverse vibration is investigated for axially accelerating viscoelastic beams constrained by rotating sleeves with torsion springs. The method of multiple scales is applied to calculate the steady-state response. Expression of the amplitude of the steady-state response is derived from the solvability condition of eliminating secular terms. The stability of straight equilibrium and nontrivial steady-state response are analyzed by use of the Lyapunov linearized stability theory. Numerical examples are presented to highlight the effects of speed pulsation, viscoelasticity, and nonlinearity and the stiffness of the torsion spring.

Original languageEnglish
Title of host publicationIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium
PublisherSpringer Verlag
Pages217-226
Number of pages10
ISBN (Print)9781402063312
DOIs
StatePublished - 2007
Externally publishedYes
EventIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Nanjing, China
Duration: 18 Sep 200622 Sep 2006

Publication series

NameSolid Mechanics and its Applications
Volume2
ISSN (Print)1875-3507

Conference

ConferenceIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Country/TerritoryChina
CityNanjing
Period18/09/0622/09/06

Keywords

  • Axially accelerating beam
  • Method of multiple scales
  • Parametric resonance
  • Principal
  • Stability
  • Viscoelasticity

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