Abstract
Active control of a stay cable through changing its tension is an effective way to lower the vibration amplitude. In this paper, active tendon control of a stay cable using a giant magnetostrictive actuator (GMA), which can generate axial deformation in a short period (normally less than 10 ms) under magnetic fields, is studied considering the time-delay. The bilinear controlled state equation of the small-sag cable is established by employing the Lagrange formulation. The linearization method for the bilinear controlled state equation is proposed and validated by numerical simulations. A GMA is designed and manufactured to actively control a stay cable model and the relationship between the output force and the input voltage is obtained by experiments. Based on the phase-shifting method, a multi-mode control algorithm with the time-delay compensation is proposed, and the time-delay compensation matrix based on the state feedback control algorithm is obtained. Based on a 1:20 scaled cable model, simulations and experiments are conducted to investigate the control performance of the proposed method under different external loads including the free vibration, harmonic excitation and random excitation. The results show that the tendon control of cable vibration by a GMA may be invalid and even amplify the vibration amplitude when the compensation of time-delay is not considered. Moreover, the excellent control performance can be achieved by using the proposed time-delay compensation method.
Highlights
One of the effective methods in aerodynamic strategies is increasing the roughness of the cable, which can prevent the cable from forming the upper rain water rivulet, and suppress the wind-rain induced vibration of the cable [9,10]
Several passive dampers were attached to cables near their anchorages in some cable-stayed bridges to suppress the cable vibrations, which can effectively improve the modal damping of the cables [12–15]
An in-plane vibration control for stay cables applying piezoelectric actuators was investigated by Achkire and Preumont [22], and Gattulli et al [23] verified the feasibility of multi-mode active control of cable vibrations using piezoelectric actuator via numerical simulations and experiments
Summary
Cables are very important structural members of cable-stayed bridges. large vibration of the cables is excited due to their light weight and low inherent damping, under external excitations such as wind, wind-rain combined and vehicles loads. Three methods for cable vibration control, including passive control, semi-active control, and active control, were proposed based on different vibration mechanisms. Developing semi-active control and active control methods of cables is more effective. Susumpow and Fujino [21] developed a globally asymptotic stable control strategy based on the bilinear control theory Based on this strategy, an in-plane vibration control for stay cables applying piezoelectric actuators was investigated by Achkire and Preumont [22], and Gattulli et al [23] verified the feasibility of multi-mode active control of cable vibrations using piezoelectric actuator via numerical simulations and experiments. An active control method of stay cable vibration using a Giant magnetostrictive actuator (GMA) is proposed by Huang et al [24]. A multi-modes time-delay compensation method for the active cable control is proposed with help of the phase shift method. The control performance of the proposed system is validated by numerical simulations and experiments under different excitation conditions
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