Active stiffness control of wind-rain-induced vibration of prototype stay cable

The cables in a cable-stayed bridge usually possess low inherent damping and are prone to wind-induced, traffic-induced, and wind-rain-induced vibrations. This paper establishes an active control algorithm using the stiffness control method to suppress wind-rain-induced vibration of prototype stay cables. By neglecting the axial inertia force and the modal coupling, the governing equations of motion of wind-rain-induced vibration control of prototype stay cables with active stiffness control algorithm are first derived. The fourth-order Runge-Kutta method is then introduced to find the numerical solutions to the problem. Extensive parameter studies have been carried out for investigating the features of the control method as a design guideline.