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The analysiof linear hypersoumd vibrations of magnetostriction transducer based on connected oscillators model


V. S. Vlasov 1, 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 November 19, 2013

Abstract. The hypersound vibrations excitation by alternating magnetic field in geometry of normal magnetized ferrite plate is investigated. It is suggested the reduced equation system based on connected oscillators model. It is found two forced vibration regimes corresponded to decrease and increase of amplitude in the time. The analytical criterions of connection constant critical meaning and resonance frequency in transition point are found. It is shown that the bifurcation point between regimes corresponded to infinite growth of model system vibrations amplitude for the case of yttrium iron garnet is equivalent to reorientation transition point of magnetization vector.

Key words: hypersound, nonlinear vibrations, magnetoelasticity.