Investigation on Nonlinear Vibration of the Cable in Cable-Stayed Bridge in 3D Space

Abstract

Cable-stayed bridge is main kind of modern large-span bridges. Wind load and vehicle load are main dynamic force on cable stayed-bridge, which can cause large amplitude vibration of cables. In the paper, the nonlinear vibration differential equations of cable with dynamic displacement at its end point in 3D space was derived. The differential equations were analysed by the method of multiple scales and the vibration characteristic was discussed. The differential equations were solved by numerical method. The Trajectory of the cable middle point was plotted. The result of this paper indicated that the vibration amplitude of cable in 3D space is relate to the frequency and amplitude of the dynamic displacement of the cable end point. The results in the paper could be a reference for the research of cable vibration in cable-stayed bridge.