Open AccessDamping of unisothermal axisymmetric bending vibrations of viscoelastic plates
Author(s) -
Olga Pyatetska
Publication year - 2018
Publication title -
vìsnik. serìâ fìziko-matematičnì nauki/vìsnik kiì̈vsʹkogo nacìonalʹnogo unìversitetu ìmenì tarasa ševčenka. serìâ fìziko-matematičnì nauki
Language(s) - English
Resource type - Journals
eISSN - 2218-2055
pISSN - 1812-5409
DOI - 10.17721/1812-5409.2018/4.10
Subject(s) - viscoelasticity , dissipative system , vibration , materials science , thermoelastic damping , nonlinear system , mechanics , actuator , rotational symmetry , boundary value problem , bending , classical mechanics , physics , composite material , acoustics , mathematical analysis , mathematics , thermodynamics , thermal , engineering , quantum mechanics , electrical engineering
A 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.