UDC 537.874; 537.624

NONLINEAR DETECTION OF MAGNETOELASTIC OSCILLATIONS IN AMPLITUDE MODULATION REGIME

 

V. S. Vlasov ¹, D. A. Pleshev ¹, V. G. Shavrov ², V. I. Shcheglov ²

¹ Syktyvkar State University of Sorokin, Oktyabrsky prosp. 55, Syktyvkar 167001, Russia

² Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia

 

The paper is received on March 12, 2019

 

Abstract. It is investigated the oscillations of magnetization in normal magnetized thin ferrite plate having magnetoelastic properties which is subjected to influence of amplitude modulated alternating field. As a main subject of investigation it is chose the detection of amplitude modulated signal by the using the resonance properties of magnetic plate elastic oscillations. It is found two possible versions of detection – first and second orders which are differed by longitudinal and transverse polarization of elastic oscillations through the thickness  of magnetic plate. It is announced that the main attention of further investigation is allotted to detection of second order. It is showed the time-evolutions of magnetic and elastic oscillations by different levels of alternate magnetic field. In connection with the variations of both oscillations character when the alternate field amplitude is increased it is selected three regimes. Regime ¹1 – linear. The elastic oscillations of plate by any its thickness occur exactly on the frequency of alternate field. Amplitude of elastic oscillations iv very small and resonance properties of plate is not realized. Regime ¹2 – moderately nonlinear. By the exactly tuning of plate thickness on frequency of modulation signal in plate is excited the intensive elastic oscillations on the frequency of modulation. In this case the effective detection of initial signal take place. The amplitude of oscillations surpasses the amplitude of oscillations in linear regime on several orders. Regime ¹3 – powerfully nonlinear. The oscillations of magnetization is unstable having similar to chaotic component. The detection of initial signal as before take place and amplitude of elastic oscillations as before increased but the post-detected signal loses the cleanliness and enriches by high-frequency harmonics. It is investigated the dependence of magnetization oscillation and elastic displacement amplitude on alternate field amplitude. It is shown that by increasing of alternate field the magnetization amplitude at first increase after those saturated which is correspond to the heaving of precession cone to the whole circle. By further increasing of alternate field the magnetization oscillations become nonlinear and magnetization vector chaotic type goes out of plane forming the power component along the constant field. The elastic oscillation amplitude by alternate field increasing also increased by two-steps manner. The first step take place by stable magnetization oscillations and second step take place after the magnetization oscillations becomes un-stationary. In both cases the amplitude increasing has quadratic dependence from alternate field amplitude. But in the first step the numerical coefficient of alternate field square increases this coefficient for second step above two orders. For to show the role of exciting field it is investigated the circle and linear polarization cases by low and high excitation levels. It is shown that in the case of circle polarization the parametrical portrait of magnetization oscillations by any excitation level presents itself as correctly circumference. In the case of linear polarization by high excitation level the portrait presents itself as combination from two ellipses which large axis are connected by cross-pieces on the whole portrait forms the binding. It is investigated the correlation between the parametric portrait axis for magnetization during the increasing of alternate field amplitude. It is found that by the character of parametric portrait deformations it is possible to select three critical fields. The first critical field correspond to beginning of portrait configuration  deflection from correctly circumference and forming the ellipse. The second critical field correspond to beginning the binding formation between broad rounding of ellipse. The third critical field correspond to contacting of opposite binding sides and forming two separate ellipses which are connected by outlying cross-pieces. It is shown that the first and second critical fields correspond to boundaries between ¹1 and ¹2 regimes (first) and also between ¹2 and ¹3 regimes (second). The third critical field fits to region of developed regime ¹3 where the time-evolutions of magnetization oscillations has chaotic character. It is shown that the extraction of modulation frequency by second order detection take place from quadratic transformation of longitudinal magnetization component. It is established the fact of sharp (to infinity) increasing of elastic displacement by the sufficient high (threshold) excitation level which is interpreted as mechanical destruction of magnetic plate. It is investigated the detection process peculiarity in the case of non-symmetry the constant field so as deflection its direction from the normal direction to surface of magnetic plate. It is shown that the origin in this case the cross component of alternate magnetization adding with action of initial alternate field bring to sharp increasing of detection process (to one order and more). It is investigated the dependencies of elastic oscillations swings on modulation frequency from alternate field amplitude by different values of cross component of the constant field. It is shown that by all values of constant field right until static reorientation the dependence of elastic displacement amplitude from the alternate field amplitude in double logarithmic scale presents itself straight line. It is established that the observed dependence has fractal-similar character. It is investigated the influence of cross constant field component on the swing of elastic oscillations. It is shown that the swing of elastic oscillations when the cross component of constant field is increased also in principal is increased. It is investigated some additional peculiarities of process of continuous in time regime establishment elastic oscillations in conditions of small deflection constant field direction from normal to the plate surface direction. It is found that in regime ¹3 by some values of excitation level the elastic oscillations are powerful non-stationary and its amplitude varies by chaotic manner. The other peculiarity of elastic oscillations establishment is non-stationary time-delay before the whole regular character of oscillations. It is established the analogy of observed elastic oscillations time-delay with non-stationary time-delay of excitation of magneto-elastic oscillations in frequency multiplication regime. In regime ¹2 it is investigated the peculiarity of detection process by the varying of modulation frequency. It is found that by exactly combination of modulation frequency with elastic system resonant frequency the elastic oscillations take place exactly on modulation frequency and has sinusoidal character. When the difference between the modulation frequency and elastic resonance frequency about several percents take place the period of elastic vibrations increased on several times and its configuration has large difference from sinusoidal character having repeatedly interchange maxima and minima having different amplitudes. It is investigated the spectrum of elastic oscillation by the differentiation between both modulation and elastic resonance frequencies. For this aim the harmonic analysis of these oscillations is executed in the time-interval which is equal to one period of oscillations when frequency differentiation takes place. It is found the Fourier-spectrum of time-evolutions elastic oscillations for the cases of take place and absence of frequency differentiation which is normalized to the most amplitude of spectrum components. It is found that by the both modulation and resonance frequencies equality in the spectrum is predominates the component of the modulation frequency.

It is shown that the frequency differentiation from the elastic system resonance frequency to some units of percents brings to decreasing of elastic vibrations on the modulation frequency more then order value and large number value increasing of oscillations vibrations on combination frequencies which are in fractional relation to modulation frequency. In brief is enumerated the essential tasks which are follows from described investigation and may be serve objects for further investigations.

Key words: magnetoelastic oscillations, nonlinear detection, amplitude modulation.

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For citation:

V.S.Vlasov, D.A.Pleshev, V.G.Shavrov, V.I.Shcheglov. Nonlinear detection of magnetoelastic oscillations in amplitude modulation regime. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 3. Available at http://jre.cplire.ru/jre/mar19/7/text.pdf
DOI  10.30898/1684-1719.2019.3.7