Role of elastic dissipation in the formation of the resonant properties of magnetization precession in the magnetoelastic environment

A set of coupled magnetoelastic equations is used to examine the problem concerning the establishment of free magnetization oscillations under the condition that dissipation is lacking in the magnetic system. The critical relationship between elastic damping parameters and the magnetoelasticity constant, which corresponds to the minimum in the dependence of magnetic damping on elastic one, is found. The bellshaped peak, on both sides of which the influence of an elastic system on the magnetic one diminishes, is detected in the dependence between the effective magnetic oscillation damping parameter and the elastic oscillation damping parameter. The observed phenomena is suggested to interpret using the model of two (magnetic and elastic) oscillators coupled through magnetoelastic interaction. The given model makes it possible to reveal four regimes of steady-state oscillations: weak damping with beats, strong damping without beats, weak damping without beats, and supercritical exponential growth. The mechanical similarity of observed phenomena is discussed, and recommendations needed to organize experiments are proposed.