Abstract
Piezoelectric (PZT) patches are widely preferred for actuators and sensors for achieving active vibration cancellation (AVC). When PZT actuators and sensors are placed at the region of maximum strain energy for structural modes, there are still uncontrollable and controllable modes in the actual application. When an uncontrollable mode is excited, the structural vibration problem may not be solved by AVC, and may even be aggravated. However, a few studies have specifically targeted this problem. In this study, the controllable modes of a plate with free boundaries are investigated to ensure the AVC effect. To specify the controllable modes in advance, a criterion for controllable modes is proposed. The proposed criterion is firstly obtained by defining the ratio of the open-loop and closed-loop energies of AVC, and then simplified by considering the dominating modes. Corresponding simulations and experiments are conducted on a smart plate consisting of PZT patches to verify the correctness of the theoretical analysis. Results show that the proposed criterion is reliable to specify the controllable modes. The vibration response of the plate is significantly attenuated at the selected controllable mode, and conversely enlarged at a specified uncontrollable mode. It is verified that controllable modes can be effectively predicted by the proposed criterion, which promotes the application of AVC.
Highlights
During the last decade, active vibration cancellation (AVC) has been widely investigated for achieving vibration attenuation in the aerospace and automotive fields [1,2,3].Especially, AVC using piezoelectric (PZT) patches [4,5] has attracted attention due to its advantages of light weight, compact size, and low cost [6,7]
Utilizing the optimal actuator placement, the AVC effect for each concerned mode cannot be ensured in many practical applications [8]
Controllability and observability analyses are helpful to ensure the AVC effect, which was proved by Abreu et al [9]
Summary
Active vibration cancellation (AVC) has been widely investigated for achieving vibration attenuation in the aerospace and automotive fields [1,2,3]. Utilizing the optimal actuator placement, the AVC effect for each concerned mode cannot be ensured in many practical applications [8]. Mojtaba et al [11] utilized spatial controllability/observability to determine optimal orientations of PZTs and ensured the AVC effect. Considering the lack of observability and controllability, majority studies mainly focused on high frequency spillover induced by the uncontrolled mode [14,15,16]. Only a few studies considered the aggravated structural vibration induced by AVC. In order to ensure the AVC effect, the mechanism of aggravated vibration is revealed, which is related to the location of PZT. When AVC is implemented at the selected controllable mode, vibration attenuation can be achieved. The uncontrollable modes should be excluded during the implementation of AVC to avoid aggravated vibrations.
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