Vortex-Induced Nonlinear Bending Vibrations of Suspension Bridges with Static Wind Loads

A low stiffness makes long-span suspension bridges sensitive to loads, and this sensitivity is particularly significant for wind-induced nonlinear vibrations. In the present paper, vibrations of under combined effects static vortex-induced loads are explored using partial differential–integral equation that models plane bending motion bridges. First, we discretized through Galerkin method obtain ordinary differential describes at first-order symmetric mode. Then, approximate analytical solution was obtained multiple scales method. Finally, applied reveal relationships between vibration amplitude other parameters, such as wind load, frequency dynamic structural stiffness, damping. The results show load slightly impacts bridge’s if its influence on natural ignored. However, frequency, amplitude, a result, may dramatically increase three parameters decrease.