This paper aims at proposing an integrated design method of the active/passive hybrid type of the piezoelectric damping system for reducing the dynamic response of the flexible structures due to external dynamic loads. The design method is based on the numerical optimization technique whose objective function is the active control power requirement of the damping system. The vibration suppression performance, which is evaluated by the maximum value of the gain of the frequency response function of the structure, is constrained. In order to demonstrate the effectiveness of the proposed integrated design method, numerical simulation and laboratory experiment will be done using a three-story structure model equipped with 12 surface bonded PZT tiles pairs. The results indicate that the optimally designed hybrid piezoelectric damping system successfully achieves excellent performance comparing with the pure active piezoelectric damping system from the viewpoint of the control power requirement.
A new hybrid piezoelectric damping system with switching control are proposed here in order to reduce the control power requirement of piezoelectrical damping augmentation for flexible structures. There are two types of hybrid piezoelectric damping; one is a series type (integrated type, type I) where piezoelectric actuators are actively driven by the external voltage source with the passive tuned RL shunting circuit in series. The other is a separated type in collocated condition (type II) where the external voltage sources and the passive tuned RL shunting circuits are separated from each other, and both piezoelectric actuators to be used to the active and passive dampings are collocated on the host structure. The types I - II switching rule of the variable hybrid piezoelectric damping is determined by the vibration condition on the host structure. Availability of the proposed variable hybrid piezoelectric damping system is experimentally demonstrated by using a simple cantilever beam example with surface bonded piezo-elements. The experimental results indicate that the variable hybrid piezoelectric damping system is effective comparing the single type of hybrid piezoelectric damping system (type I or type II) from the viewpoint of active control power requirement.
A design method of hybrid damping is proposed here. Values of design parameters of hybrid damping: active control gain, number and location of piezo-elements to be used to passive damping, are determined under equal vibration suppression performance condition. Vibration suppression performance is evaluated by using the gain of the accelerance transfer function of the closed loop system in modal space. According to the proposed design method, the equal vibration suppression performance with less active control power is achieved by hybrid damping. Availability of the proposed design method is experimentally demonstrated by using a flexible cantilever beam. The experimental results indicate that hybrid damping is effective comparing with fully active damping from the viewpoint of active control power under the equal vibration suppression performance condition.
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