Resonance radial oscillations of a piezoceramic cylinders and spheres taking into account electromechanical losses
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 81, Issue 1
Abstract
Hollow piezoceramic radially polarized cylinders and spheres widely used as sound transducers and receivers are considered. The most characteristic run mode of piezoceramic transmitters is resonant mode. In this paper, a universal approach to solving of problems of forced thickness oscillations of piezoceramic cylinders and spheres is expanded on research of amplitude of the electromechanical state with due regard to mechanical, dielectric, piezoelectric energy losses. General equation system of steady oscillation of cylinders and spheres is reduced to Hamiltonian equation system which is solved by superposition of solutions of initial problems. The suggested approach enables to research into oscillation of the transmitters under electrical and mechanical load and arbitrary boundary conditions. For calculation of electromechanical state of transmitters at resonance modes the energy dissipation counts towards by the introduction of complex physical constants with predetermined values of tangents of losses. The oscillations of spheres and cylinders with electrode free outer surfaces under loading by electric potential difference are studied. The amplitude of movement of the outer surface depending on the loading frequency and geometrical dimension of the figures is considered. The amplitude of movement in the neighbourhood of the first resonance at different values of tangents of losses is studied; oscillations forms on the first three resonances are built.
Authors and Affiliations
Ludmila Grigoryeva, Sergiy Grigoryev, Oleksandr Bezverhyi
Keywords
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