A wavelet approach for active-passive vibration control of laminated plates
Ji-Zeng Wang, Xiao-Min Wang, You-He Zhou
Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, and Department of Mechanics and Engineering Sciences, School of Civil Engineering and Mechanics, Lanzhou University, 730000 Lanzhou, China
Abstract As an extension of the wavelet approach to vibration control of piezoelectric beam-type plates developed earlier by the authors, this paper proposes a hybrid active-passive control strategy for suppressing vibrations of laminated rectangular plates bonded with distributed piezoelectric sensors and actuators via thin viscoelastic bonding layers. Owing to the low-pass filtering property of scaling function transform in orthogonal wavelet theory, this wavelet-based control method has the ability to automatically filter out noise-like signal in the feedback control loop, hence reducing the risk of residual coupling effects which are usually the source of spillover instability. Moreover, the existence of thin viscoelastic bonding layers can further improve robustness and reliability of the system through dissipating the energy of any other possible noise induced partially by numerical errors during the control process. A simulation procedure based on an advanced wavelet-Galerkin technique is suggested to realize the hybrid active-passive control process. Numerical results demonstrate the efficiency of the proposed approach.
Fund:The project was supported by the National Natural Science Foundation of China (11032006, 11072094, 11121202), a grant from the Ph.D. Program Foundation of Ministry of Education of China (20100211110022) and the Program for New Century Excellent Talents in University (NCET-10-0445).
Ji-Zeng Wang,Xiao-Min Wang,You-He Zhou. A wavelet approach for active-passive vibration control of laminated plates[J]. Acta Mechanica Sinica, 2012, 28(2): 520-531.
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