Mechanics of Deformable Solids      

DOI: https://dx.doi.org/10.24866/2227-6858/2019-2-2

Ratmanova O.

OLESYA RATMANOVA, Assistant, Department of Building Mechanics and Structural Resistance, е-mail: olesya654@yandex.ru
Samara State Technical University
244 Molodogvardeyskaya St., Samara, Russia, 443001

Non-stationary direct piezoelectric effect task for an asymmetric bimorph round plate with stepped variable thickness

Abstract: Cosideration is being given to the dynamic axisymmetric problem of direct piezoelectric effect for a circular two-layer transducer consisting of a metal substrate and a piezoceramic plate of smaller diameter. The oscillations of the electroelastic system are carried out due to the action of a mechanical load on its front surface, which is an arbitrary function of time and radial coordinate. The presented mathematical model of calculation allows to take into consideration the coherence of longitudinal-transverse oscillations of a structure that is asymmetric in height. The new analytical solution is obtained within the framework of the refined Tymoshenko theory by the method of finite integral transformations. The calculated ratios make it possible to choose the geometric dimensions of the bimorphic plate, which most effectively allow to convert the mechanical load into the generated electrical pulse. The considered designs are widely used as touch switches that regulate the operation of valves for various purposes.

Keywords: asymmetric bimorphic plate, direct piezoelectric effect, electroelasticity, dynamic load, closed solution.

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