Nonlinear models for transverse forced vibration of axially moving viscoelastic beams

Issue title: 2nd International Conference on Vibro-Impact Systems (ICoVIS), Sanya, China, 6–9 January, 2010

Article type: Research Article

Authors: Ding, Hu | Chen, Li-Qun^;

Affiliations: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200077, China | Department of Mechanics, Shanghai University, Shanghai, 200444, China

Note: [] Corresponding author. E-mail: dinghu3@shu.edu.cn

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.

Keywords: Vibration, nonlinearity, axially moving beam, viscoelasticity, finite difference

DOI: 10.3233/SAV-2010-0586

Journal: Shock and Vibration, vol. 18, no. 1-2, pp. 281-288, 2011