<p>The calculation models of dissipative multilayer plates are developed taking into account the frequency-dependent energy dissipation in the material and determining the effect of elastic and structural parameters of the rectangular plate structure on the efficiency of hybrid damping of its nonstationary vibrations. A refined model of a five-layer electroviscoelastic plate is presented based on a discrete-structural approach according to which it is divided over the thickness into a finite number of calculation layers with a cubic approximation of displacements and electric potential over their thickness. The system of calculation equations is presented in the frequency domain of integral Fourier transforms which makes it possible to take into account the frequency-dependent energy dissipation in the viscoelastic and electroviscoelastic materials of the plate. It is shown that the increase in shear strain in the viscoelastic layer of the plate leads to the decrease in the efficiency of active vibration damping. It is also established that the asymmetric sandwich structure of the plate can be used to increase the efficiency of active damping of its nonstationary vibrations. The mathematical model and the obtained dependences allow us to determine the optimal ratio between the elastic and structural parameters of the sandwich plate in order to ensure maximum hybrid damping of its nonstationary vibrations.</p>