Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2008-10-01

Journal: International Symposium on Nonlinear Dynamics

Included Journals: Scopus、CPCI-S、EI、SCIE

Volume: 38

Issue: 2

Page Number: 421-429

ISSN: 0960-0779

Abstract: Nonlinear free vibration and stability problems are investigated for axially moving strings in transverse motions. The equation of nonlinear, free motion is derived and discretized using the Galerkin's method. The method of multiple time scale is adopted to obtain the approximate response. It is pointed out that the motion stays stable for transportations with speed less than the linear critical speed. For taut strings that move with large transport speeds, the stability of the equilibrium configuration under steady aerodynamic excitation is explicitly analyzed. Based on the Routh-Hurwitz criterion, the condition for Hopf bifurcation is presented with multiple parameters for transverse motions perturbed in the vicinity of the equilibrium configurations. (C) 2006 Elsevier Ltd. All rights reserved.