Vibration reduction for cable-stayed bridges traveled by high-speed trains

Abstract

The vibration reduction of cable-stayed bridges subjected to the passage of high-speed trains is studied. The train is modeled as a series of sprung masses, the bridge deck and towers by nonlinear beam-column elements, and the stay cables by truss elements with Ernst's equivalent modulus. In particular, the previously derived vehicle–bridge interaction element is employed to simulate the dynamic interaction of the moving vehicles with the bridge. In order to reduce the multiple resonant peaks of the cable-stayed bridge subjected to high-speed trains, a hybrid tuned mass damper system composed of several subsystems is proposed. The mass of each subsystem tuned for one resonant frequency is determined by first minimizing each peak response using Den Hartog’ s optimal criterion and by enforcing the resonant peaks of concern to be equal. The optimal properties of each subsystem are determined by the minimum–maximum approach. The strategy of vibration reduction proposed herein is simple and robust, which should find applications in areas where multiple resonant peaks are a problem of major concern.