Forced vibration of a beam system with autoparametric coupling effects

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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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
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 (Online):1475-1305
Published Online:29 October 2008

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