Hybrid control systems for seismic protection of a phase II benchmark cable‐stayed bridge

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Abstract This paper presents hybrid control systems for seismic protection of a phase II benchmark cable‐stayed bridge. Because multiple control devices are operating, a hybrid control system could alleviate some of the restrictions and limitations that exist when each system is acting alone. In this study, two types of hybrid control system are considered to protect the cable‐stayed bridge under seismic events. Lead–rubber bearings are used as passive control devices to reduce the earthquake‐induced forces in the bridge and hydraulic actuators or magnetorheological fluid dampers are used as additional control devices to further reduce the bridge responses, especially deck displacements. Numerical simulation results show that the performances of the proposed hybrid control systems are superior to those of the passive control system, and slightly better than those of the active or semi‐active control system alone. Furthermore, it is verified that the hybrid control systems are robust to mass or stiffness parameter perturbation, and there is no sign of instability in the overall system due to the passive control part. Therefore, the proposed hybrid control systems could effectively be applied to seismically excited cable‐stayed bridges. Copyright © 2003 John Wiley & Sons, Ltd.

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This paper presents an integrated passive-active (i.e. hybrid) system for seismic response control of a cable-stayed bridge. Since multiple control devices are operating, a hybrid control system could alleviate some of the restrictions and limitations that exist when each system is acting alone. Lead rubber bearings are used as passive control devices to reduce the earthquake-induced forces in the bridge and hydraulic actuators are used as active control devices to further reduce the bridge responses, especially deck displacements. In the proposed hybrid control system, a linear quadratic Gaussian control algorithm is adopted as a primary controller. In addition, a secondary bang-bang type (i.e. on-off type) controller according to the responses of lead rubber bearings is considered to increase the controller robustness. Numerical simulation results show that control performances of the integrated passive-active control system are superior to those of the passive control system and are slightly better than those of the fully active control system. Furthermore, it is verified that the hybrid control system with a bang-bang type controller is more robust for stiffness perturbation than the active controller with a μ-synthesis method, and there are no signs of instability in the over-all system whereas the active control system with linear quadratic Gaussian algorithm shows instabilities in the perturbed system. Therefore, the proposed hybrid protective system could effectively be used for seismically excited cable-stayed bridges.

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This paper presents a robust hybrid isolation system for seismic response control of a cable-stayed bridge. Because multiple control devices are operating, a hybrid control system could alleviate some of the restrictions and limitations that exist when each control system, such as passive, active, semiactive control system, is acting alone. However, the overall system robustness may be negatively impacted by active control part of the hybrid system or active controller may cause instability due to smalt margins. Therefore, control algorithms that guarantee the controller robustness should be considered to improve the overall system robustness of the hybrid seismic isolation system and to enhance the possibility of real applications of the system consequently. In this study, a hybrid isolation system combining lead rubber bearings and hydraulic actuators is used for seismic response control of a cable-stayed bridge. Lead rubber bearings are used as passive control devices to reduce the earthquake-induced forces in the bridge and hydraulic actuators are used as active control.devices to further reduce the bridge responses, especially deck displacements. Furthermore, two kinds of robust control algorithms, i.e., the Ha and Hoo control designs with frequency weighting filters, are used to improve the controller robustness of the overall system. The numerical simulation results show that the proposed hybrid seismic isolation systems have the excellent robustnes for stiffness perturbations without loss of control performances under the considered earthquakes in this study. Therefore, the proposed robust hybrid isolation systems could effectively be used to seismically excited cabbstayed bridges.

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Due to limitations on the use of passive base isolation systems which show poor performance in near field seismic excitations or active systems which require high external power, as stand alone control devices for a range of seismic excitations, a hybrid control system that mitigates the limitations of either passive or active control systems is preferred. The present study examines the use of semi–active base isolation systems for vibration mitigation. A combination of base isolation and MR-dampers forms the control device that has been deployed as a base isolation unit in the building. A combination of GA–fuzzy based control algorithm has been proposed to be implemented as a control strategy. Scaled seismic inputs for both near and far field excitations have been used in this study on three story (base + three) building. The paper presents the analytical modeling and results obtained through numerical experiments.

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Control-structure interaction (CSI) during structural vibration control system has been investigated in some current literatures. However, the interaction between MR damper and flexible stay cable has not been reported. In this paper, experimental investigation on vibration control is carried out on a stay cable model incorporated with one small size magneto-rheological (MR) fluid damper taking into account the interaction effect of the stay cable and the MR damper. Experiments on the vibration control of the stay cable model attached with the MR damper with different constant current input indicates the obvious interaction between the stay cable and the MR damper. A novel model of MR damper with constant current input coupled with stay cable is proposed to better predict the MR damper’s behavior considering the interaction effect between the stay cable and the MR damper. The proposed coupling model is validated by the numerical simulations using the experimental results.

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Structural vibration control using active or passive control strategy is a viable technology for enhancing structural functionality and safety against natural hazards such as strong earthquakes and high wind gusts. Both the active and passive control systems have their limitations. The passive control system has limited capability to control the structural response whereas the active control system depends on external power. The power requirement for active control of civil engineering structures is usually quite high. Thus, a hybrid control system is a viable solution to alleviate some of the limitations. In this paper a multi‐objective optimal design of a hybrid control system for seismically excited building structures has been proposed. A tuned mass damper (TMD) and an active mass driver (AMD) have been used as the passive and active control components of the hybrid control system, respectively. A fuzzy logic controller (FLC) has been used to drive the AMD as the FLC has inherent robustness and ability to handle the non‐linearities and uncertainties. The genetic algorithm has been used for the optimization of the control system. Peak acceleration and displacement responses non‐dimensionalized with respect to the uncontrolled peak acceleration and displacement responses, respectively, have been used as the two objectives of the multi‐objective optimization problem. The proposed design approach for an optimum hybrid mass damper (HMD) system, driven by FLC has been demonstrated with the help of a numerical example. It is shown that the optimum values of the design parameters of the hybrid control system can be determined without specifying the modes to be controlled. The proposed FLC driven HMD has been found to be very effective for vibration control of seismically excited buildings in comparison with the available results for the same example structure but with a different optimal absorber. Copyright © 2002 John Wiley & Sons, Ltd.

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