Application And Research On Vibration Control Of Stay-Cable Using Hybrid Sysetm Theory

Stay cables, such as are used in cable-stayed bridges, have low inherent dampingcharacteristics,and are easily prone to vibration induced by wind, rain or traffic load. Nowcable vibration in cable-stayed bridges is a serious problems in civil engineering.Especially, as the cable-stayed bridge’s span and the length of are increasing, stay cables’vibration is more significant.stay cables’ continuous vibration maybe lead to the fatiguefailure of itself or its anchor system, its’ exceeding transverse vibration aslo engender thepsychological panic in pedestrians and dirvers. Consequently, to insure the safty andusability of bridge structure, we must take some measures to control cable vibration. In thispaper, the research and research results mainly has the following several aspects:①The piecewise linear space model of stay-cable and MR damper system is deducedin this paper, and specific case is selected to establish the piecewise linear space model ofstay-cable and MR damper system. After that we analyse the model builded just in the wayof LQR active control algorithm in this paper. At last, we use modern control theory toprove that the piecewise linear space model of stay-cable and MR damper system has goodcontrollability, observability and stability;②We analyze the hybrid properties of, and then introduce particularly the prosses andmethod how to build mixed logic dynamic model of the stay-cable and MR damper system,and on the basis of the piecewise linear space model of stay-cable and MR damper system,we establish mixed logic dynamic model of the stay-cable and MR damper system;③Next, use Hybrid Toolbox to make a numerical simulation for mixed logic dynamicmodel of the stay-cable and MR damper system in this paper. Numerical analysis results incondition that is under control or out of control are as well as the the theoretical analysisresults;④At last, we compare the numerical analysis results of mixed logic dynamic modelof the stay-cable and MR damper system with its traditional state space equation’snumerical analysis results, no matte under contol or out of control, we all get very idealresults, and the results’ correctness got by the mixed logic dynamic model is proved verywell by the comparison.