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Publisher's URL: http://www.wiley.com/bw/journal.asp?ref=0039-2103
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.
|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|
|Published Online:||29 October 2008|