"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 8, 2017

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The non-stationary delay of magnetoelastic vibrations excitation in regime of frequency multiplication. Part 3 Nonlinear connection
 
A. P. Ivanov1 ,  V. G. Shavrov 2, V. I. Shcheglov 2
1 Syktyvkar State University of Sorokin, Oktyabrskiy prosp. 55, Syktyvkar 167001, Russia

2 Kotel’nikov Institute of Radio Engineering and Electronics, Mokhovaya 11-7, Moscow 125009, Russia

 

The paper is received on August 8, 2017

 

Abstract. It is continued the investigation of task about excitation of forced nonlinear vibrations of magnetization and elastic displacement in normal magnetized ferrite plate having magnetoelastic properties. The investigation is made on basis of two connected oscillators – nonlinear magnetic and linear elastic. For the explanation of the vibrations in this system development it is proposed the model of dynamical potential. It is investigated the different vibration regimes by the variation of nonlinear connection parameter. It is made the classification of realized regimes by the value of amplitude of excited vibrations. It is shown that from total aggregate of observed vibrations may be selected two large groups of regimes: small-amplitude and high-amplitude. It is investigated the development of vibrations in typical high-amplitude regimes. It is investigated the case of small degree of nonlinear connection. It is shown that by the nonlinear connection parameter increasing it is successive realized next regimes: two-steps delay with high chaotic component, saw-liked vibrations of amplitude and regular establishment. It if found the considerable scattering of delay time by small variations of nonlinear connection parameter which having the fractal-similarity character. It is found the effect of first oscillator self-influence on own vibrations through of second oscillator participation. By way of  influence mechanism it is proposed the positive reverse connection model which lead to avalanche-liked increasing of vibrations amplitude. It is shown that the restriction of this increasing is realized by the cubic nonlinearity of system. It is investigated the case of middle degree of nonlinear connection. It is shown that by the nonlinear connection parameter increasing it is successive realized next regimes: two-steps delay with high chaotic component, saw-liked vibrations of amplitude, regular establishment and smooth saturation. It is shown that the amplitude establishment value is completely correspond to dynamical potential model. It is investigated the case of high degree of nonlinear connection. It is shown that in this case for the high-amplitude regimes realization it is necessary the establishment of enough high initial deflection of first oscillator displacement or enough high amplitude of excitation signal. It is shown that in the case of initial deflection establishment by nonlinear connection parameter increasing it is successive realized next high-amplitude regimes: two-steps delay with high chaotic component, asynchronous sinusoid and regular establishment. It is investigated the realization of high-amplitude regimes by the assign of enough high amplitude of excitation signal. It is shown that the necessary condition of first delay of vibrations excitation realization is zero value of initial displacement of both oscillators. In concluding part of paper it is mentioned some additional questions of this work development.

Key words: nonlinear vibrations, magnetoelastic interaction, potential.

References

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For citation:

A.P.Ivanov, V.G.Shavrov, V.I.Shcheglov. The non-stationary delay of magnetoelastic vibrations excitation in regime of frequency multiplication. Part 3. Nonlinear connection. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 8. Available at http://jre.cplire.ru/jre/aug17/6/text.pdf. (In Russian)