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

Research output: Book/ReportReport


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


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

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