Nonlinear vibration of parametrically excited viscoelastic moving belts

Lixin Zhang, Jean W. Zu

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

Abstract

The dynamic response and stability of parametrically excited viscoelastic belts are investigated in this paper. The linear viscoelastic differential constitutive law is employed to characterize the material property of belts. The generalized equation of motion is obtained for a viscoelastic moving belt with geometric nonlinearity. The method of multiple scales is applied directly to the gwerning equation, which is in the form of continuous gyroscopic systems. Closed-form expressions for the amplitude, existence conditions and stability conditions of non-trivial limit cycles of the summation resonance are obtained. Effects of viscoelastic parameters, excitation frequencies, excitation amplitudes and axial moving speeds on stability boundaries are discussed.

Original languageEnglish
Title of host publication17th Biennial Conference on Mechanical Vibration and Noise
Pages757-762
Number of pages6
ISBN (Electronic)9780791819777
DOIs
StatePublished - 1999
EventASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States
Duration: 12 Sep 199916 Sep 1999

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume7A-1999

Conference

ConferenceASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/TerritoryUnited States
CityLas Vegas
Period12/09/9916/09/99

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