Transverse vibrations and vibrational heating of a rectangular bimorphous plate of dissipative piezoelectric material |
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Authors: | A O Rasskazov V I Kozlov T V Karnaukhova |
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Institution: | (1) Ukrainian Transport University, Kiev;(2) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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Abstract: | The problem of induced resonance vibrations and dissipation heating in a rectangular bimorphous plate made of a dissipative
piezoelectric material under a harmonic potential difference is tackled. The edges of the plate are considered to be hinged
and ideally thermally insulated. The dissipation properties of the material are taken into account on the basis of the concept
of complex characteristics, which are assumed to be temperature-independent. An exact solution is found for the problem. The
critical value of the load parameter is determined when the maximum temperature reaches the Curie point. A finite-element
method has been developed for investigating the dynamic behavior and temperature of vibrational heating that bimorphous plates
made of a viscoelastic material undergo under a harmonic load. The results obtained for the electromechanical vibrations of
plates by finite-element calculations and by an analytical solution are compared.
Translated from Prikladnaya Mekhanika, Vol. 35, No. 9, pp. 85–93, September, 1999. |
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