Vibration control of nonlinear vibration of suspended cables based on quadratic delayed resonator

Abstract

Abstract Based on Galerkin method and multiple scales method, the first-order symmetric mode responses the suspension cable under longitudinal time-delayed velocity feedback control are obtained. The influence of system parameters, such as time delay, control gain and excitation amplitude on the controlled system, is investigated by the numerical examples. According to the feedback gain increasing, the amplitude of the system response is significantly suppressed. And the efficiency of vibration control can be improved by selecting control gain and the time-delay value.