Vibration Suppression of a Quadrilateral Plate Using Hybrid Piezoelectric Circuits

Abstract

A practical method for suppressing random vibrations of a quadrilateral plate using the active/ passive hybrid piezoelectric circuits is developed. Firstly, the finite element model of the plate bonded with piezoelectric actuators is established by using the commercial software packages ANSYS®. Afterwards, matrices in these electromechanically coupled equations are directly imported into MATLAB^® platform for later use. Time histories of the random excitations are obtained from the output of a band-pass FIR filter driven by white noise. Hybrid piezoelectric shunt circuits that combine the passive circuits with active voltage sources are used to suppress random vibrations of plate under the designed loads. Simulation results demonstrate that with appropriate circuit parameters, the hybrid control is more effective than passive or purely active control.

Keywords

Hybrid piezoelectric circuits finite element method quadrilateral plate vibration suppression.

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References

Adachi, K. , Kitamura, Y. , and Iwatsubo, T. , 2004, "Integrated design of piezoelectric damping system for flexible structure," Applied Acoustics 65, 293-310.

Behrens, S. , Moheimani, S.O.R. , and Fleming, A.J. , 2003, "Multiple mode current flowing passive piezoelectric shunt controller," Journal of Sound and Vibration 266, 929-942.

Chen, G.D. and Chen, C.Q. , 2004, "Semiactive control of the 20-story benchmark building with piezoelectric friction dampers," Journal of Engineering Mechanics 130(4), 393-400.

Fleming, A.J. and Moheimani, S.O. , 2005, "Control orientated synthesis of high-performance piezoelectric shunt impedances for structural vibration control," IEEE Transactions on Control Systems Technology 13(1), 98- 112.

Fuller, C.R. and Elliot, S.J. , 1996, Active Control of Vibration, San Diego Academic Press, London, UK.

Hagood, N.W. and von Flotow, A. , 1991, "Damping of structural vibrations with piezoelectric materials and passive electrical networks," Journal of Sound and Vibration 146, 243-268.

Hassan, M. and Dubay, R. , 2007, "Active vibration control of a flexible one-link manipulator using a multivariable predictive controller," Mechatronics 17(6), 311-323.

Hollkamp, J.J. , 1994, "Multimodal passive vibration suppression with piezoelectric materials and resonant shunts," Journal of Intelligent Material Systems and Structures 5, 49-57.

Law, H.H. , Rossiter, P.L. , and Koss, G.P. , 1996, "Characterization of mechanical vibration damping by piezoelectric materials," Journal of Sound and Vibration 197, 489-513.

10.

Lee-Glauser, G.J. , Ahmadi, G. , and Horta, L.G. , 1997, "Integrated passive-active vibration absorber for multistory buildings," Journal of Structural Engineering 123, 499-504.

11.

Lesieutre, G. , 1998, "Vibration damping and control using shunted piezoelectric materials," The Shock and Vibration Digest 30(3), 187-195.

12.

Moheimani, S. , 2003, "A survey of recent innovations in vibration damping and control using shunted piezoelectric transducers," IEEE Transactions on Control Systems Technology 11(4), 482-494.

13.

Morgan, R.A. and Wang, K.W. , 2002, "Active-passive piezoelectric absobers for systems under multiple non-stationary harmonic excitations," Journal of Sound and Vibration 255, 685-700.

14.

Nguyen, C.H. and Pietrzko, S.J. , 2006, "FE analysis of a PZT-actuated adaptive beam with vibration damping using a parallel R-L shunt circuit," Finite Elements in Analysis and Design 42, 1231-1239.

15.

Sheta, E.F. and Moses, R.W. , 2006, "Active smart material control system for buffet alleviation ," Journal of Sound and Vibration 292, 854-868.

16.

Tang, J. and Wang, K.W. , 2001, "Active-passive hybrid piezoelectric networks for vibration control: comparisons and improvement," Smart Materials Structures 10(4), 794-806.

17.

Tsai, M.S. and Wang, K.W. , 1999, "On the structural damping characteristics of active piezoelectric actuators with passive shunt," Journal of Sound and Vibration 221, 1-22.

18.

Xu, S.X. and Koko, T.S. , 2004, "Finite element analysis and design of actively controlled piezoelectric smart structures," Finite Elements in Analysis and Design 40, 241-262.

19.

Yuan, J. , 2000, "Hybrid vibration absorption by zero/pole-assignment," Journal of Vibration and Acoustics 122, 466-469.