Modelling, identification and active control of nonlinear vibration in a flexible cantilever beam

Thanh Lan Vu

    Research output: ThesisDoctoral Thesis

    46 Downloads (Pure)

    Abstract

    [Truncated] modelling the dynamics of a flexible cantilever beam has attracted the attention of researchers in many areas of engineering applications; including robotic manipulators, satellites, aircraft, etc. Linear theories such as the Rayleigh-Ritz method and Timoshenko and Euler-Bernoulli beam theory, have for several decades been useful tools for predicting the behaviour of beams, based on the assumption of small amplitude vibrations. However, when the beam is subject to a large vibration, many nonlinear phenomena m a y occur, such as change of resonance frequency, energy transfer between higher order modes and lower order modes, modal coupling and frequency modulation. These nonlinear behaviours preclude an adequate mathematical analysis of the beam response based on linear models. This fact has led to many theoretical and experimental investigations into the nonlinear vibration of beams that have been carried out over more recent years. However, to m y knowledge, none of the nonlinear models for flexible beams which have been developed so far, are able to adequately describe the nonlinear behaviour of the beam.
    Original languageEnglish
    QualificationDoctor of Philosophy
    Awarding Institution
    • The University of Western Australia
    DOIs
    Publication statusUnpublished - 1998

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    • This thesis has been made available in the UWA Profiles and Research Repository as part of a UWA Library project to digitise and make available theses completed before 2003. If you are the author of this thesis and would like it removed from the UWA Profiles and Research Repository, please contact [email protected]

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