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Abstrakty
In this paper, the response of a plate with arbitrary boundary conditions to PZT actuators is derived. It is assumed that the plate and the actuators are rectangular and the edges of the PZT actuators are parallel to the respective edges of the plate. The response of the plate is decomposed into normal modes. The modal amplitude of the normal mode is represented in terms of the shape function of the actuator and the normal mode. The shape function of the actuator is given as a~singularity function. The normal modes for the boundary conditions with which we are concerned are calculated based on theoretical analyses of Magrab. The results of this paper are useful in designing an active noise control system in which the PZT actuators are used as the control sources.
Wydawca
Czasopismo
Rocznik
Tom
Strony
13--23
Opis fizyczny
Bibliogr 30 poz., rys., tab.
Twórcy
autor
autor
- Auburn University, Mechanical Engineering Department, Auburn, AL 36849, USA, jameszou@live.com
Bibliografia
- [1] Auersch L., Two- and Three-dimensional Methods for the Assessment of Ballast Mats, Ballast Plates and Other Isolators of Railway Vibration, International Journal of Acoustics and Vibration, 11, 4, 167–176 (2006).
- [2] Xu L., Xiuhong, Hao X., Wang H., Forced Vibration for Electromechanical Integrated Toroidal Drive, International Journal of Acoustics and Vibration, 11, 4, 196–206 (2006).
- [3] Chakraborty S.K., Sarkar S.K., Response Analysis of Multi-Storey Structures on Flexible Foundation Due to Seismic Excitation, International Journal of Acoustics and Vibration, 13, 4, 165–171 (2008).
- [4] Mohanty S.C., Parametric Instability of a Pretwisted Cantilever Beam with Localized Damage, International Journal of Acoustics and Vibration, 12, 4, 153–161 (2007).
- [5] Chakraborty S.K., Sarkar S.K., Bhattacharya S.P., Frequency-response Analysis of Shear Vibration of Long Structures due to Surface Excitation, International Journal of Acoustics and Vibration, 12, 3, 109–115 (2007).
- [6] Xu L., Jia X., Electromechanical Coupled Vibration for Double Coupled Micro Beams, International Journal of Acoustics and Vibration, 12, 1, 51–24 (2007).
- [7] Hornig K.H., Flowers G.T., Performance of Heuristic Optimization Methods in the Characterization of the Dynamic Properties of Sandwich Composite Materials, International Journal of Acoustics and Vibration, 12, 2, 60–68 (2007).
- [8] Simon A.S., Flowers G.T., Adaptive Disturbance Rejection and Stabilization for Rotor Systems with Internal Damping, International Journal of Acoustics and Vibration, 13, 1, 73–81 (2008).
- [9] Winberg M. et al., Active Vibration Isolation in Ships: A Pre-Analysis of Sound and Vibration Problems, International Journal of Acoustics and Vibration, 10, 4, 175–196 (2005).
- [10] Tammi K.M.J., Identification and Active Feedback-Feedforward Control of Rotor, International Journal of Acoustics and Vibration, 12, 1, 7–14 (2007).
- [11] Akesson H., Smirnova T., Claesson I., Hakkansson L., On the Development of a Simple and Robust Active Control System for Boring Bar Vibration in Industry, International Journal of Acoustics and Vibration, 12, 4, 139–152 (2007).
- [12] Chen L., Hansen C.H., He F., Summut K., Active Nonlinear Vibration Absorber Design for Flexible Structures, International Journal of Acoustics and Vibration, 12, 2, 51–59 (2007).
- [13] Pawełczyk M., Analysis of active noise control plants using identification and signal processing methodology, Archives of Acoustics, 26, 2, 143–164 (2000).
- [14] Crocker M.J. [Ed.], Handbook of Noise and Vibration Control, John Wiley & Sons, Inc., New York 2007.
- [15] Leniowska L., Effect of active vibration control of a circular plate on sound radiation, Archives of Acoustics, 31, 1, 77–87 (2006).
- [16] Pawełczyk M., On convergence and stability of adaptive active noise control systems, Archives of Acoustics, 31, 4, 529–535 (2006).
- [17] Ciesielka W., Gołas A., Active control of sound by means of digital equalizers, Archives of Acoustics, 31, 1, 89–97 (2006).
- [18] Makarewicz G., Genetic algorithm-based active noise control systems – simulations using Internet, Archives of Acoustics, 29, 2, 177–189 (2004).
- [19] Jones J., Fuller C., Active control of sound fields in elastic cylinders by multi-control forces, AIAA Journal, 27, 7, 845–852 (1989).
- [20] Crawley E.F., De Luis J., Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal, 25, 10, 1373–1385 (1987).
- [21] Bailey T., Hubbard J., Distributed piezoelectric-polymer active vibration control of a cantilever beam, AZAA Journal of Guidance, Control and Dynamics, 8, 5, 605–611 (1985).
- [22] Clark R., Fuller C., Wicks, A., Characterization of multiple piezoelectric actuators for structural excitation, Journal of the Acoustical Society of America, 90, 1, 346–357 (1991).
- [23] Dimitriadis E.K., Fuller C., Piezoelectric actuators of distributed vibration excitation of thin plates, Journal of Vibration and Acoustics, 100–107 (1992).
- [24] Lee C.K., Moon F.C., Modal sensors/actuators, Journal of Applied Mechanics, 57, 434–441 (1990).
- [25] Burke S.E., Hubbard J.E.J., Distributed transducers for structural measurement and control, Control and Dynamic Systems, 36, 223–273 (1990).
- [26] Kim S.J., Jones J.D., Optimal design of piezoactuators for active noise and vibration control, AIAA Journal, 29, 2047–2053 (1991).
- [27] Lee C.K., Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships, Journal of the Acoustical Society of America, 87, 1144–1158 (1990).
- [28] Crandall S.H., An Introduction to the Mechanics of Solids, McGraw-Hill, New York 1978.
- [29] Magrab E.B., Vibrations of Elastic Structural Members, Sijthoff & Noordhoff, Maryland 1979.
- [30] Leissa A.W., The free vibration of rectangular plates, Journal of Sound and Vibration, 31, 3, 257–293 (1973).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT8-0014-0030