Dynamic Characteristics of a Piezoelectric Transducer with Structural Damping

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Abstract:

Work presents a proposal of an analysis method of the piezoelectric transducer. The considered system is a longitudinally vibrating single PZT plate. The main aim of this work is to designate characteristics of the considered PZT plate. Using constitutive equations of piezoelectric materials and an equation of the plates motion a matrix of characteristics of the system was obtained. Relations between mechanical and electrical parameters (forces, displacements, electric current and voltage) that describe behaviour of the system are included in the matrix of characteristics. A dynamic flexibility relation between the plates deformation and a force applied to the system is considered. A structural damping of the plates material was being taken into consideration and its influence on the plates dynamic flexibility is analysed. This work is an introduction to a task of analysis of complex systems. In future work the developed model and proposed mathematical algorithm will be used to analyse piezoelectric stacks. Non-classical methods will be used. It is a part of research works of Gliwice research centre related with an analysis and synthesis of mechanical and mechatronic systems [4-7,9,10,16-18]. Passive and active mechanical and mechatronic systems with piezoelectric transducers were analysed [1-3]. Works were also supported by computer-aided methods [8]. Both classical and non-classical methods were being considered. The discussed subject is important due to increasing number of applications of both simple and reverse piezoelectric phenomena in various modern technical devices.

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Solid State Phenomena (Volume 198)

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633-638

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March 2013

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[1] K. Białas, Passive and Active Elements in Reduction of Vibrations of Torsional Systems, Solid State Phenomena, Volume 164 (2010), pp.260-264.

DOI: 10.4028/www.scientific.net/ssp.164.260

Google Scholar

[2] K. Białas, Mechanical and electrical elements in reduction of vibrations, Journal of Vibroengineering, Volume 14 Issue 1 (2012) pp.123-128.

Google Scholar

[3] A. Buchacz, D. Galeziowski, Synthesis as a designing of mechatronic vibrating mixed systems, Journal of Vibroengineering, June 2012, Vol. 14, issue 2, pp.553-559.

Google Scholar

[4] A. Buchacz, M. Płaczek, Development of mathematical model of a mechatronic system, Solid State Phenomena Vol. 164 (2010), pp.319-322.

DOI: 10.4028/www.scientific.net/ssp.164.319

Google Scholar

[5] A. Buchacz, M. Płaczek, The approximate Galerkin's method in the vibrating mechatronic system's investigation, Proceedings of The 14th International Conference ModTech 2010, 20-22 May, 2010, Slanic Moldova, Romania, pp.147-150.

Google Scholar

[6] A. Buchacz, M. Płaczek, Modelling and investigation of one-dimensional flexural vibrating mechatronic systems with piezoelectric transducers, in: Farzad Ebrahimi (Ed. ), Advances in Piezoelectric Transducers, InTech, Rijeka, pp.27-52.

DOI: 10.5772/29408

Google Scholar

[7] A. Buchacz, M. Płaczek, The analysis of a composite beam with piezoelectric actuator based on the approximate method, Journal of Vibroengineering, Vol. 14, Issue 1, 2012, pp.111-116.

Google Scholar

[8] A. Buchacz, A Wróbel, Computer-aided analysis of piezoelectric plates, Solid State Phenomena Vol. 164 (2010), pp.239-242.

DOI: 10.4028/www.scientific.net/ssp.164.239

Google Scholar

[9] A. Buchacz, A Wróbel, Modelling and study of the piezoelectric effect influence on the characteristics of mechatronic systems, Silesian University of Technology Publishing House, Gliwice, 2010 (in Polish).

Google Scholar

[10] A. Dymarek, T. Dzitkowski, Modelling and Synthesis of Discrete–Continuous Subsystems of Machines with Damping, Journal of Materials Processing Technology, Vol. 164-165 (2005). pp.1317-1326.

DOI: 10.1016/j.jmatprotec.2005.02.190

Google Scholar

[11] K. Dzierżek, The digital system of the position measurement. Solid State Phenomena, Vol. 147-149 (2009) pp.936-941.

DOI: 10.4028/www.scientific.net/ssp.147-149.936

Google Scholar

[12] K. Jamroziak, M. Kosobudzki, Determining the torsional natural frequency of underframe of off-road vehicle with use of the procedure of operational modal analysis, Journal of Vibroengineering, Vol. 14, 2012, pp.472-476.

Google Scholar

[13] M. Kulisiewicz, S. Piesiak, M. Bocian, Identyfication of nonlinear damping using energy balance method with random pulse excitation, Journal of Vibration and Control, July 2001, pp.699-710.

DOI: 10.1177/107754630100700505

Google Scholar

[14] W. P. Mason, Electromechanical transducers and wave filters, Van Nostrand, Princeton, (1948).

Google Scholar

[15] E. Rusinski, S. Dragan, P. Moczko, D. Pietrusiak, Implementation of experimental method of determining modal characteristics of surface mining machinery in the modernization of the excavating unit, archives of civil and mechanical engineering, Vol. 12, 2012, pp.471-476.

DOI: 10.1016/j.acme.2012.07.002

Google Scholar

[16] A. Wróbel: Kelvin Voigt's model of single piezoelectric plate, Journal of Vibroengineering, Vol. 14, Issue 2, 2012, pp.534-537.

Google Scholar

[17] S. Zolkiewski, Attenuation-frequency Characteristics of Beam Systems In Spatial Motion. Solid State Phenomena Vol. 164 (2010), pp.349-354.

DOI: 10.4028/www.scientific.net/ssp.164.349

Google Scholar

[18] S. Zolkiewski, Numerical Application for Dynamical Analysis of Rod and Beam Systems in Transportation. Solid State Phenomena Vol. 164 (2010). pp.343-348.

DOI: 10.4028/www.scientific.net/ssp.164.343

Google Scholar