Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24429
Title: Non-linear vibration of cable-damper systems part I : formulation
Authors: Yu, Z
Xu, YL 
Issue Date: 1999
Publisher: Academic Press
Source: Journal of sound and vibration, 1999, v. 225, no. 3, p. 447-463 How to cite?
Journal: Journal of sound and vibration 
Abstract: This paper presents a formulation for determining the non-linear dynamic response of sag cables equipped with discrete oil dampers and subject to harmonic loading. The state-space method is first employed to convert the second order non-linear partial differential equations of motion of the system to first order non-linear partial differential equations. Then, in terms of the complex modes of vibration and their orthogonality properties achieved by a hybrid method, the generalized modal superposition method is used to reduce the first order non-linear partial differential equations to first order non-linear ordinary differential equations with respect to time functions only. Finally, the harmonic balance method is applied to obtain the non-linear algebraic equations, from which the real solutions for the time functions and non-linear dynamic responses of the cable-damper system are found. The application and verification of the suggested approach are presented in Part II of this paper.
URI: http://hdl.handle.net/10397/24429
ISSN: 0022-460X
EISSN: 1095-8568
DOI: 10.1006/jsvi.1999.2203
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