Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method

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Original languageEnglish
Pages (from-to)611-616
Journal / PublicationMechanics of Advanced Materials and Structures
Issue number8
Online published16 Nov 2011
Publication statusPublished - 2011


This article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration.

Research Area(s)

  • axially moving beam, Floquet theory, IHB method, internal resonance, nonlinear vibration, numerical integration, stability