We consider the problem of active damping of the forced resonance vibrations of a viscoelastic cylindrical panel with the help of piezoelectric actuators. The end faces of the panel are assumed to be simply supported and heat-insulated. An analytical solution of the problem of electromechanics is obtained. On this basis, the dissipative function is calculated, and the energy equation is solved. We also analyze the influence of the temperature of dissipative heating on the efficiency of active damping of the forced vibrations of a cylindrical panel.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 4, pp. 145–151, October–December, 2008.
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Kozlov, V.I., Karnaukhova, T.V. & Peresun’ko, M.V. Influence of the temperature of dissipative heating on the damping of forced resonance vibrations of a simply supported viscoelastic cylindrical panel with the help of piezoelectric actuators. J Math Sci 167, 173–181 (2010). https://doi.org/10.1007/s10958-010-9913-1
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DOI: https://doi.org/10.1007/s10958-010-9913-1