V.G.Karnaukhov, O.V.Karnaukhova, V.I.Kozlov, V.K.Luts Effect of the dissipation and dissipative vibro-heating on vibrational properties of the three-layered piezoelectric shells of revolution |
Acoustic bulletin, Vol. 4 ¹ 3, (2001) |
| The problem of vibration and vibro-heating of three-layer piezoelectric shells of revolution composed of passive inner and two outer piezoactive layers is considered. Conception of complex characteristics is used for inclusion of dissipative material properties. When the material characteristics are not dependent on temperature the problem is reduced to the solution of electromechanical problem, calculation of dissipative function and solution of problem of heat-conduction. The problem is nonlinear when the characteristics are dependent on temperature. It is solved by applying the iterative methods and the finite element method. The problem of vibration and vibro-heating of the three-layer cylindrical piezoelectric shells is considered in detail. For the first case the analytical solution of problem is found. The comparison of analytical and finite element solutions shows high precision and efficiency of the finite element solution. For the second case the results of calculations of frequency dependence of amplitude, temperature, coefficients of attenuation and electromechanical coupling are presented. The characteristics show typical behavior for the nonlinear systems. |
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KEY WORDS: piezoelectric, shell of revolution, dissipation, vibrational heating |
| TEXT LANGUAGE: Russian |