Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

Geraldo F. de Souza Reboucas, Ilmar F. Santos, Jon J. Thomsen

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    Abstract

    The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.
    Original languageEnglish
    JournalJournal of Sound and Vibration
    Volume413
    Pages (from-to)291–307
    ISSN0022-460X
    DOIs
    Publication statusPublished - 2018

    Keywords

    • Vibro-impact dynamics
    • Impact force model
    • Kelvin-Voigt impact model
    • Power-law impact model
    • Vibro-impacting beam
    • Lumped mass beam
    • Experimental validation
    • Control-based continuation

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