Forced Nonlinear Precession of the Second-Order Magnetization in a Magnetoelastic Material

Abstract

Nonlinear precession of the second-order magnetization in a normally magnetized plate with magnetoelastic properties is analyzed. Orientational transition of the magnetization vector that lies in a variation of the equilibrium position of the vector due to a variation in the magnetoelastic constant is studied. A system of equation for the equilibrium position of the magnetization vector relative to magnetization components and elastic displacement is derived and solved with the aid of the Cardano method. Parametric portraits are obtained for magnetization and elastic displacement, and the effect of magnetoelasticity on the geometrical properties is revealed using a model of potential. Models of effective fields and quadratic magnetoelastic coupling are proposed to interpret the dependence of the period of precession on the constant of magnetoelastic interaction.