Wagg, D.J. and Bishop, S.R. (2002) Application of nonsmooth modelling techniques to the dynamics of a flexible impacting beam. Journal of Sound and Vibration, 256 (5). 803 - 820. ISSN 0022-460X
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2002. Elsevier.. This is an author produced version of a paper subsequently published in Journal of Sound and Vibration . Uploaded in accordance with the publisher's self-archiving policy |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Jul 2014 11:13 |
Last Modified: | 21 Mar 2018 01:15 |
Published Version: | http://dx.doi.org/10.1006/jsvi.2002.5020 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1006/jsvi.2002.5020 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79679 |