Карнаухова Т.В. «О новом подходе к активному демпфированию вынужденных резонансных изгибных колебаний изотропных вязкоупругих пластин» Доповiдi нацiональноi академii наук Украiни, № 5, с. 78-82 (2009)

A new approach to the active damping of the forced resonance bending vibrations of the viscoelastic isotropic plates by distributed piezoelectric sensors and actuators is proposed. It is supposed that a mechanical load is unknown and is found by indications of a sensor. As an example, the problem of the active damping of vibrations of the isotropic viscoelastic rectangular plate with simply supported edges is considered and solved by the Bubnov–Galerkin method. A formula for the potential difference to compensate the forced vibrations of a plate on the first mode is obtained. The influence of the dimensions of sensors and actuators and dissipative material properties on the active damping effectiveness is investigated.