Abstract
The nonlinear problem of excitation of hypersound in a normally magnetized structure is considered. The structure consists of two ferrite layers, its elastic properties are constant across the entire structure thickness, and the magnetic properties of the layers can be different. The equations of motion and boundary conditions for the magnetization components and elastic displacement are obtained for the case of an arbitrary angle of the magnetization vector precession. Using the decomposition in eigenmodes, the problem is reduced to a system of an infinite number of second-order differential equations. In the case when the first elastic mode is excited, the complete problem is reduced to a system of thirty nonlinear first-order differential equations solved numerically by means of the Runge-Kutta method. The time evolution and amplitude-frequency characteristics of excited oscillations are considered. Conditions under which the amplitude of nonlinear-mode elastic vibrations exceeds the amplitude of linear-mode elastic vibrations by a factor as large as 70 and the bandwidth increases by a factor as large as five are revealed.
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