Numerical Study On Parametric Resonance Of Coupled Cables And Bridge Tower

Stay cable, which is one of the main components in cable-stayed bridges, is susceptible to environmental and traffic excitations because of its flexible, low damping, small weight, then the significant vibration is induced. The accurate analysis of both the static and dynamic is very import for the design of cables in cable-stayed bridges.At the first chapter of the thesis, the major works that the domestic and the foreign scholars have done in the field of non-linear parametric vibration about cable stay bridge are reviewed. Some old mathematical models are been compared. Then a new mathematical model of multiple degree of freedom for the parametric vibration problem of cable stay bridge is established. In the model, stay cable and bridge tower is presented. It is considered with the sag of cables as well as the geometric non-linearity. The bridge tower is considered as the continuum. The damping of cable and bridge tower are been considered too. Based on the established model, the author got the coupling nonlinear vibration equations, include the stay cable's two aspects, one is in-plane vibration and the other is out-of-plane vibration. According to numerical examples calculated by numerical integration method, the conclusion that the non-linear parametric resonance between stay cable and bridge tower will appear and the factors that affect their coupling nonlinear vibration are investigated. One most important conclusion is the inner damping of the stay cables and bridge tower can strongly reduce their coupling nonlinear vibration. At the fifth chapter of the thesis, the content points that fixing the damper on the stay cable at the suitable position can effectively control the non-linear parametric...