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
Related Articles
- EP ID EP249319
- DOI -
- Views 98
- Downloads 0
Evaluation of fire resistance of structural elements considering nonlinearity of deformation processes during fire
A mathematical model for quantitative description of thermomechanical processes in structural elements under fire was proposed, with taking into account an elastic-plastic deformation and temperature dependence of materi...
Methods of statistical analysis of nondestructive testing results
Nondestructive testing methods of control or crack-detection is a general name for all methods of materials or products control used for finding defects, homogeneity of macrostructure, the chemical composition variations...
Definition and mathematical modeling of the thermostressed state of a two-component thermosensitive cylinder under convective-radial heating
The thermosensitive body model is used in order to implement the requirements of modern engineering practice for the calculation of temperature fields and tensions in multilayer structures operating under high-temperatur...
Stress-strain state of elasto-plastic linearly strengthenable plates with two perpendicular cuts under all-round stretching
Effective numerical methods for solving 2D problems related to the theories of elasticity and plasticity have been worked out. The variation-difference method of building finite difference schemes is extended to disconne...
Load transfer from the infinite stringer to the two jammed along one edge identical stripes with initial (residual) stresses
The article is devoted to problems of contact interaction of infinite elastic stringer and two identical jammed along one edge pre-stressed stripes. The research has been conducted in the framework of linearized theory o...