Application of non-smooth modelling techniques to the dynamics of a flexible impacting beam

DJ Wagg, SR Bishop

Research output: Contribution to journalArticle (Academic Journal)peer-review

67 Citations (Scopus)

Abstract

Non-smooth modelling techniques have been successfully applied to lumped mass-type structures for modelling phenomena such as vibro-impact and friction oscillators. In this paper, the application of these techniques to continuous elements using the example of a cantilever beam is considered. Employing a Galerkin reduction to form an N -degree-of-freedom modal model, a technique for modelling impact phenomena using a non-smooth dynamics approach is demonstrated. Numerical simulations computed using the non-smooth model are compared with experimentally recorded data for a flexible beam constrained to impact on one side. A method for dealing with sticking motions when numerically simulating the beam motion is presented. In addition, choosing the dimension of the model based on power spectra of experimentally recorded time series is discussed.
Translated title of the contributionApplication of non-smooth modelling techniques to the dynamics of a flexible impacting beam
Original languageEnglish
Pages (from-to)803 - 820
Number of pages18
JournalJournal of Sound and Vibration
Volume256 (5)
DOIs
Publication statusPublished - Oct 2002

Bibliographical note

Publisher: Academic Press

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