FREE VIBRATION ANALYSIS OF VISCOELASTIC MOVING BELTS

Jean W. Zu, Lixin Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The nonlinear free vibration of viscoelastic moving belts is studied. Based on the linear viscoelastic differential constitutive law, the generalized equation of motion is derived for a moving belt with geometric nonlinearities. The method of multiple scales is applied directly to the governing equation which is in the form of continuous autonomous gyroscopic systems with weakly nonlinearity. This direct treatment does not involve a prior assumption regarding the spatial solutions. The nonlinear natural frequencies and free response amplitude for autonomous systems are predicted by the perturbation method. The results obtained with the quasi-static assumption and those without this assumption are compared. The effects of elastic and viscoelastic parameters, axial moving speed, and the geometric nonlinearity on natural frequencies and amplitudes of the free response are investigated from numerical examples.

Original languageEnglish
Title of host publicationDynamics, Acoustics and Simulations
Pages31-37
Number of pages7
ISBN (Electronic)9780791815953
DOIs
StatePublished - 1998
EventASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998 - Anaheim, United States
Duration: 15 Nov 199820 Nov 1998

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume1998-J

Conference

ConferenceASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998
Country/TerritoryUnited States
CityAnaheim
Period15/11/9820/11/98

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