Карнаухова Т.В. «Влияние механических граничных условий на активное демпфирование вынужденных изгибных резонансных колебаний изотропных вязкоупругих прямоугольных пластин» Доповiдi нацiональноi академii наук Украiни, № 8, с. 58-62 (2009)

By a new approach, an influence of mechanical boundary conditions on the effectiveness of active damping bending vibrations of a viscoelastic isotropic rectangular plate is investigated. Simply supported edges, built-in edges, and mixed boundary conditions are considered. The problems are solved by the Bubnov–Galerkin method. The formulas for a potential difference to compensate the forced vibrations of the plate on a first mode are obtained. It is shown that the influence of boundary mechanical conditions, dissipative properties, and dimensions of sensors and actuators on the effectiveness of active damping vibrations of the plate is considerable.