DEFENCE Redchyts



2018 ◊ Volume 1 (91) ◊ Issue 2 p. 160-190

V. L. Karlash*

* S. P. Timoshenko Institute of Mechanics of NAS of Ukraine, Kyiv, Ukraine

Analysis of forced vibration of piezoceramic transducers at a non-uniform electric loading

Gidrodin. akust. 2018, 1(2):160-190




The influence of a non-uniform electric loading on the admittance and dynamic electromechanical coupling factor (EMCF) for transducers of mentioned type is studied considering the examples of the problems describing the forced vibration of narrow piezoceramic plates-bars with partially-electroded surfaces or divided electrodes. A wide retrospective of the researches in this area for recent century is represented on the basis of analysis of the domestic and foreign bibliographic sources. The basic relations of the linear theory of electroelasticity are presented in the following sections and boundary problems for the cases of steady forced vibration of the thin-walled piezoelectric resonators with transversal polarization are formulated. The expressions for calculation of energy characteristics of the process (in particular, the dynamic EMCF) are offered. The mathematical statements corresponding to various configurations of the surface electrodes are considered. The anti-phase vibration excitation is shown to be an effective instrument for selecting the overtones corresponding to high modes and, consequently, for increasing the operating frequency. The presence of the electrodeless areas may lead to a certain (still, insignificant) EMCF increase of the fundamental resonance. Partial short-circuiting of the electrodes is resulted in occurrence of both odd and even longitudinal modes, which cannot be excited with full electrodes. The calculations made for stress state and admittance are in good agreement with the experimental data on amplitude-frequency characteristics of the forced vibration of piezoelectric plates the surfaces of which are covered with the sectional electrodes.


piezoceramic transducers, electromechanical coupling factor, forced vibration, admittance, active and reactive components, stress state


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