Pyatetska, O. V.O. V.Pyatetska2026-06-302026-06-302018Pyatetska, O. V. (2018). Damping of unisothermal axisymmetric bending vibrations of viscoelastic plates. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics(4), 68–71. https://doi.org/10.17721/1812-5409.2018/4.1010.17721/1812-5409.2018/4.10https://ir.library.knu.ua/handle/15071834/26309A problem on the forced monoharmonic axisymmetric bending vibrations and dissipative heating of circular viscoelastic plate with the piezoelectric sensors and actuators is considered. Viscoelastic behavior of passive (without piezoeffect) and piezoactive materials is described using the concept of complex moduli which depend on temperature.The nonlinear coupled problem of electrothermoviscoelasticity is solved by numerical methods. The influence of the boundary conditions and temperature of disspative heating on active damping of harmonic vibrations of thin viscoelastic plates with the simultaneous use of sensors and actuators is investigated. For modeling viscoelastic properties of passive and piezoelectric materials, linear models of integral type viscoelasticity are used, which are most effective for simulating the dissipative properties of materials in the linear region. If the material characteristics depend on temperature, investigation of the influence of temperature of dissipative heating is reduced to solution of complicated nonlinear systems of differential equations.Key words: active damping, sensors, actuators. Pages of the article in the issue: 68-71Language of the article: UkrainianA problem on the forced monoharmonic axisymmetric bending vibrations and dissipative heating of circular viscoelastic plate with the piezoelectric sensors and actuators is considered. Viscoelastic behavior of passive (without piezoeffect) and piezoactive materials is described using the concept of complex moduli which depend on temperature.The nonlinear coupled problem of electrothermoviscoelasticity is solved by numerical methods. The influence of the boundary conditions and temperature of disspative heating on active damping of harmonic vibrations of thin viscoelastic plates with the simultaneous use of sensors and actuators is investigated. For modeling viscoelastic properties of passive and piezoelectric materials, linear models of integral type viscoelasticity are used, which are most effective for simulating the dissipative properties of materials in the linear region. If the material characteristics depend on temperature, investigation of the influence of temperature of dissipative heating is reduced to solution of complicated nonlinear systems of differential equations.Key words: active damping, sensors, actuators.Pages of the article in the issue: 68 - 71Language of the article: UkrainianenСтаття