Forced vibrations and dissipative heating of three-dimensional piezoelectric prism https://doi.org/10.33108/visnyk_tntu2018.04.104
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Abstract
Prismatic passive and piezoactive nonelastic bodies are used wide-ly in present – day technics. Under harmonic loading the electromechanical energy in these bodies is turning in thermal energy and the body temperature is increasing. This temperature is named the temperature of dissipative heating. If the temperature is equal to degradation point of active material, the structure element is losing the functional role. For active material the degradation point is equal Curie point. For investigation of dissipative heating of nonelastic elements it is necessary to use coupling theory of thermoelectroviscoelastisity.
In this paper the formulation of tree-dimensional coupling problem on the forced vibrations and dissipative heating of nonelastic piezoelectric prism under harmonic electric loading is given. Nonelastic behavior of material is modeling of complex characteristics. Dissipative heating in energy equation is bringed. It is proposed that material characteristics don’t depend on the temperature. Then the problem is reduced to solution of two problems: problem of electroelastisity and problem of heat conduc-tivity with known heat source. Solutions of problems electroelasticity and heat conductivity are found by finite element method.
By these approaches the three-dimensional problem on forced vibrations and dissipative heating of piezoelectric prism body under harmonic electric loading is soluted. Dependence of vibration amplitude and temperature on frequency is calculated.
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References
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