Theoretical And Experimental Research Of Time Delay Compensation For Vibration Control Of Cable Using Wireless Transmission

Larger amplitude vibrations of cable structures can be easily induced by various dynamic loads due to their low inherent damping,low rigidity and light weight.The active variable stiffness control strategy using the axial control force can effectively reduce the vibrations of cables.However,the traditional wired active control requires a large number of complicated cable laying,which greatly increases the complexity of the active control system.Although wireless transmission technology has been widely applied to the field of structural health monitoring,the active vibration control of cables with wireless transmission has not been studied.And the time delay in the wireless vibration control systems may diminish the performance of the systems.Therefore,the compensation of the time delay for the wireless vibration control systems is an urgent problem in the field of vibration control of cables.This paper was supported by the National Key Basic Research Program of China(‘973 Project')(grant number 2015CB057702),the National Natural Foundation of China(grant numbers 51378203)and Hunan Provincial Innovation Foundation for Postgraduate(grant numbers CX2017B627).In this paper,a GMA is applied as a control device for vibration control of cable.Simulation analyses and experimental researches of time delay compensation are conducted for the wireless vibration control system of cable.The contents of this paper are as follows:(1)The background of vibration control of cables for cable-stayed bridges is introduced.The applications and research status of wireless vibration control technology,magnetostrictive actuators and time delay compensation algorithms are discussed,and the research course and main content of the paper is introduced.(2)The internal structure and mechanical characteristics of the giant magnetostrictive actuator are introduced,and experiments to study the working performance of this actuator are conducted.The relationship between the output force and the input voltage of the magnetostrictive actuator is obtained.(3)A theoretical model for the axial vibration control of cable with small sag is established,and the state equation of this model is obtained.The rationales of LQR control algorithm and bilinear control algorithm are discussed,and the simulations of vibration control of cables are conducted via using these two algorithms(4)The rationale of the Phase-shifting Compensation which is time-delay compensation algorithm is discussed,and the theory of time-delay compensation for active vibration control system of cable is propose.Moreover,the time-delay compensation simulation analyses of vibration control system of the cable are conducted under different conditions.The simulation results show that the Phase-shifting Compensation can effectively compensate the time delay in the control system.(5)A wireless vibration control system based on a GMA is proposed.The experiments of active vibration control and time delay compensation for the cable are designed and are conducted under the conditions of free vibration,harmonic vibration and random vibration.The results of experiments demonstrate that the vibration control methods of cables and the Phase-shifting Compensation are valid.