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Analysis of Chaos Behavior of Single Mode Vibration of Cable-Stayed

J.  LI

Abstract


Cable-stayed is infinite dimensional vibration system with low damping and high flexibility, so it shows a strong nonlinear. Firstly a ideal model of cable-stayed is provided and n single mode vibration equations with the form of Duffing equation is obtained through decoupling the model. Then based on the Smale horseshoe map chaos theory, the longest cable-stayed of the world’s largest span cable-stayed bridge - - Jiangsu Sutong Yangtze River Highway Bridge as an example, the chaotic threshold of single mode vibration equation is analyzed by using the numerical method. Finally Markov partition properties of Poincare mapping of the single mode vibration equation are discussed, and corresponding two-dimensional symbolic dynamical system is found

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