Roberts, J.W. and Cartmell, M. (1984) Forced vibration of a beam system with autoparametric coupling effects. Strain, 20(3), pp. 123-131. (doi: 10.1111/j.1475-1305.1984.tb00542.x)
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Publisher's URL: http://www.wiley.com/bw/journal.asp?ref=0039-2103
Abstract
Small non-linear interactions of the type referred to as autoparametric may have a considerable effect on the pattern of forced vibration response of certain categories of structures exhibiting low damping characteristics. Under conditions of internal resonance these may bring about a complete neutralisation of the normal forced vibration resonance curve with a transfer of energy to an indirectly excited mode. The paper examines non-linear interactions between a pair of beam modes in forced vibration of a simple structure. Steady state solutions are obtained for the non-linear system equations. Measurements of vibratory acceleration and strain on a laboratory model are shown to give good confirmation of the analytical results and show clearly the substantial effects of internal resonance.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Cartmell, Prof Matthew |
| Authors: | Roberts, J.W., and Cartmell, M. |
| Subjects: | T Technology > TJ Mechanical engineering and machinery |
| College/School: | College of Science and Engineering > School of Engineering > Systems Power and Energy |
| Journal Name: | Strain |
| ISSN: | 0039-2103 |
| ISSN (Online): | 1475-1305 |
| Published Online: | 29 October 2008 |
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