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Forced vibration of a beam system with autoparametric coupling effects
Author(s) -
Roberts J. W.,
Cartmell M. P.
Publication year - 1984
Publication title -
strain
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.477
H-Index - 47
eISSN - 1475-1305
pISSN - 0039-2103
DOI - 10.1111/j.1475-1305.1984.tb00542.x
Subject(s) - vibration , resonance (particle physics) , beam (structure) , coupling (piping) , excited state , normal mode , acceleration , mode coupling , mode (computer interface) , physics , mechanics , acoustics , classical mechanics , materials science , atomic physics , optics , computer science , metallurgy , operating system
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.