Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/32623
Title: Parametrically excited instability of a cable under two support motions
Authors: Ying, ZG
Ni, YQ 
Ko, JM
Keywords: Direct numerical approach
Inclined stay cable
Parametrically excited instability
Two support motion excitations
Issue Date: 2006
Publisher: World Scientific
Source: International journal of structural stability and dynamics, 2006, v. 6, no. 1, p. 43-58 How to cite?
Journal: International journal of structural stability and dynamics 
Abstract: A direct numerical approach for solving the instability problem of multi-degree-of-freedom dynamic systems with general period-parameter excitation is developed based on the Floquet theory, Fourier series and generalized eigenvalue analysis. The developed direct numerical approach to the instability is applied to an inclined stay cable with sag under periodic two-support-motion excitation. The partially differential equation for the parametrically excited vibration of the cable is derived by using the transformation of displacements and converted into ordinary differential equations according to the Galerkin method. The unstable regions for parametrically excited vibration of the damped cable system with multi-degree-of-freedom are obtained to illustrate its overall instability. The effects of each mode vibration and parameters of the cable on the unstable regions are analyzed. The developed direct numerical approach to the parametrically excited instability is applicable to more general periodic parameter-excited systems.
URI: http://hdl.handle.net/10397/32623
ISSN: 0219-4554
EISSN: 1793-6764
DOI: 10.1142/S0219455406001794
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