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Analysis of auto-modulation vibrations in magnetoelastic medium on the basis of connected magnetic and elastic oscillators model


A. P. Ivanov 1, V. G. Shavrov 2, V. I. Shcheglov 2

1 Syktyvkar State University, Syktyvkar, Russia

2 Kotelínikov Institute of Radio Engineering and Electronics of RAS, Moscow, Russia


The paper is received on May 17, 2015


Abstract. The nonlinear forced vibrations of magnetization and elastic displacement in normal magnetized ferrite plate having magnetoelastic properties are investigated. For modeling of these vibrations the simplified system of two connected oscillators, one of which has magnetoelastic properties, is proposed. On the basis of this model the possibility of excitation of forced vibrations having auto-modulation character is shown. It is found six frame auto-modulation vibration regimes. For their interpretation two models are proposed: generalized potential and harmonic frequency generation.††

Key words: magnetoelastic interaction, nonlinear vibrations, auto-modulation regime.†