Nonlinear Delay of Excitation of Oscillations of a Magnetostriction Transducer in the Frequency Multiplication Mode

The problem of excitation of nonlinear forced oscillations of magnetization and elastic displacement in a ferrite plate of a magnetostriction transducer is considered using a model of two coupled oscillators, one of which is gyromagnetic. In the frequency multiplication mode of the second oscillator with respect to the frequency of the first one, we revealed the effect of a nonstationary delay of the excitation of oscillations accompanied by a subsequent stepwise increase in the oscillation amplitude by, at least, one or two orders of magnitude. The threshold nature of the delay with respect to the excitation amplitude is demonstrated. A dynamic potential model that describes the oscillations of the first oscillator when the amplitude of the second one serves as a parameter is proposed to interpret the delay. A cubic nonlinearity plays the decisive role in limitation of the amplitude of oscillations.