Modeling and experimental verification of the thin multi-electrode piezoceramic bars' forced vibrations

: pp. 1-11
Received: June 24, 2016

Math. Model. Comput. Vol. 3, No. 1, pp. 1-11 (2016)

S. P. Timoshenko Institute of Mechanics, The National Academy of Sciences of Ukraine
S. P. Timoshenko Institute of Mechanics, The National Academy of Sciences of Ukraine
S. P. Timoshenko Institute of Mechanics, The National Academy of Sciences of Ukraine

This paper is devoted to analysis of the multi-electrode piezoceramic bars' forced vibrations. Analytical model is built for a thin and narrow piezoelectric ceramic bar with three pairs of divided electrodes on the upper and lower main surfaces. The formulae for input admittance, characteristic (resonant and anti-resonant) frequencies as well as for transform ratio are obtained. The fundamental modes of vibrations of thin piezoelectric bar and their odd and even overtones are studied. A new experimental simple technique with additional commutation permits to study many resonators' parameters: admittance, impedance, phase angles, power components etc. Experiments have been carried out with TsTBS-3 bar-prism 70.3x8.1x6.8/7.1 mm size. It is established that a high electromechanical coupling may be obtained for bar's longitudinal overtones by means of the electrode coating dividing and anti-phase electrical loading. In partly shorted electrodes case, not only odd but even longitudinal modes can be induced, which are absent for full electrodes case.

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