Nonlinear Models for Transverse Forced Vibration of Axially Moving Viscoelastic Beams. (2011)

• Record Type: Journal Article
• Authors: Ding, Hu; Chen, Li-Qun
• Is Part Of: Shock and vibration. Volume 2011(2011)
• Page Start: 281
• Page End: 287
• Publication Date: 2011
• Subjects: Vibration -- nonlinearity -- axially moving beam -- viscoelasticity -- finite difference; Shock (Mechanics) -- Periodicals; Vibration -- Periodicals; 534.5
• DOI: 10.3233/SAV-2010-0586
• Languages: English
• ISSNs: 1070-9622

Abstract

Abstract : Nonlinear models of transverse vibration of axially moving viscoelastic beams subjected external transverse loads via steady-state periodical response are numerically investigated. An integro-partial-differential equation and a partial-differential equation of transverse motion can be derived respectively from a model of the coupled planar vibration for an axially moving beam. The finite difference scheme is developed to calculate steady-state response for the model of coupled planar and the two models of transverse motion under the simple support boundary. Numerical results indicate that the amplitude of the steady-state response for the model of coupled vibration and two models of transverse vibration predict qualitatively the same tendencies with the changing parameters and the integro-partial-differential equation gives results more closely to the coupled planar vibration.