Chaos Behavior and Control of Stay-Cables

Jin Hai Li; Qing Li Yan; Jin Shuan Liu

doi:10.4028/www.scientific.net/AMR.446-449.1109

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 446-449Chaos Behavior and Control of Stay-Cables

Chaos Behavior and Control of Stay-Cables

Abstract:

Stay-cable is infinite dimensional nonlinear dynamical system with a very complex vibration types and mechanism which are not described reasonably yet. In order to better control its dynamic behavior, it is necessary to study complex dynamic behavior carefully. Fistly, partial differential equation of the cable motion is established based on the parabolic initial configuration and is simplified into n Duffing-equations by using Galerkin method. Secondly, the chaos behaviors of the first order Duffing-equation under periodic excitation are studied by taking advantage of Melnikov method. At last , parameters may lead to chaotic motion of a true cable in laboratory are calculated and the methods of chaos control are discussed briefly. The study shows that: 1. First order vibration of cable under periodic excitation has much more complex behaviors than the freedom vibration; 2. The Melnikov method can be very effective and convenient for the analysis of chaotic motion of cable.

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Periodical:

Advanced Materials Research (Volumes 446-449)

Pages:

1109-1114

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.446-449.1109

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Online since:

January 2012

Authors:

Jin Hai Li, Qing Li Yan, Jin Shuan Liu

Keywords:

Chaos, Duffing-Equations, Melnikov Method, Stay-Cable

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