Near-elastic vibro-impact analysis by discontinuous transformations and averaging: DCAMM Report 720

    Research output: Book/ReportReportResearchpeer-review

    Abstract

    We show that near-elastic vibro-impact problems can be conveniently analyzed by a discontinuity-reducing transformation of variables, combined with an extended averaging procedure that allows small discontinuities. A general technique for this is presented, and illustrated by calculating transient or stationary motions for different harmonic oscillators with stops or clearances, and self-excited friction oscillators with stops or clearances First- and second-order analytical predictions are derived, and shown to agree to estimated accuracy with results of numerical simulation.
    Original languageEnglish
    Place of PublicationTechnical University of Denmark
    PublisherDCAMM, Technical University of Denmark
    Number of pages23
    Publication statusPublished - 2006

    Keywords

    • nonlinear oscillations; vibro-impact; averaging; discontinuous transformation

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