Sieber, J., Wagg, D.J. and Adhikari, S. (2008) On the interaction of exponential non-viscous damping with symmetric nonlinearities. Journal of Sound and Vibration, 314 (1-2). 1 - 11. ISSN 0022-460X
Abstract
This paper studies the interaction between non-viscous damping and nonlinearities for nonlinear oscillators with reflection symmetry. The non-viscous damping function is an exponential damping model which adds a decaying memory property to the damping term of the oscillator. We consider the case of softening and hardening behaviour in the frequency response of the system. Numerical simulations of the Duffing oscillator show a significant enhancement of the resonance peaks for increasing levels of non-viscous damping parameter in the hardening case, but not in the softening case. This can be explained in the general context by an energy balance analysis of the undamped unforced oscillator, which shows that for hardening nonlinearities the growth of damping with the energy level is an order of magnitude smaller in the exponential case than in the viscous case.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2008. 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: | 10 Jul 2014 08:52 |
Last Modified: | 11 Jul 2014 14:32 |
Published Version: | http://dx.doi.org/10.1016/j.jsv.2007.12.017 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.jsv.2007.12.017 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79703 |