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论文类型：期刊论文

发表时间：2008-10-01

发表刊物：International Symposium on Nonlinear Dynamics

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：38

期号：2

页面范围：421-429

ISSN号：0960-0779

摘要：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.