UDC 537.874; 537.624

Amplitude-frequency characteristics of magnetostriction converter 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 Kotel’nikov Institute of Radio Engineering and Electronics of Russian Academy of Scences, Mokhovaya 11-7, Moscow 125009, Russia

 

The paper is received on April 9, 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 amplitude-frequency characteristics of magnetic and elastic oscillations in broad frequency region. It is found the equations of motion for magnetization and elastic displacement and also boundary conditions on the plate surfaces. It is found the low of changing in time of alternating field which having amplitude modulated by sine signal. The obtained equation system is executed by fourth order Runge-Kutta method. As a result was found the amplitude-frequency characteristics of magnetization and elastic oscillations in broad frequency region. It is investigated the general structure of amplitude-frequency characteristics in linear regime of excitation. It is shown that in modulation conditions the characteristics both oscillations have three-petal structure consist of combination of maximum on central (carrying) frequency and two lateral maxima taken away from main maximum on the modulation frequency. It is investigated the correlation between the amplitudes both magnetic and elastic oscillations in the case of circular and linear polarization of alternating field. It is established that in the case of linear polarization the oscillation are elliptical and ellipse is turned relatively to initial polarization on the angle equal to 90 degree. It is investigated the changing of amplitude-frequency characteristics both magnetic and elastic oscillations by the variation of magnetic plate thickness. It is shown that in linear regime the resonance oscillations of magnetization select the elastic oscillations and bring to increase of its amplitude when resonance frequencies of both oscillations are equal one to another. It is investigated the amplitude-frequency characteristics of magnetic and elastic oscillations in three established earlier in paper [12] fundamental regimes of excitation amplitude: linear (¹1), moderate nonlinear (¹2) and strong nonlinear (¹3). It is shown that the geometrically correct three-petal character of both amplitude-frequency characteristics takes place only in linear oscillations regime (regime ¹1). In the case of small level of nonlinearity (regime ¹2) the amplitude-frequency characteristic of magnetization has the appearance of oblique triangle and amplitude-frequency characteristic of elastic oscillations has three-petal indented form. In the case of middle excitation level (regime ¹2) amplitude-frequency characteristic of elastic oscillations besides to main maximum on the ferromagnetic resonance frequency has also addition maximum which is disposed in two-multiplied frequency and having the same amplitude as main maximum. In the case of high level of excitation (regime ¹3) the amplitude-frequency characteristics both magnetic and elastic oscillations have strong indented near to chaotic form and the limitation of frequency is absent. It is established that in middle and large excitation regimes the degree of intended of amplitude-frequency characteristics both magnetic and elastic oscillations when the step on frequency is varied is not changed. This circumstance testifies its fractal character. It is established the decisive role of modulation signal in formation of amplitude-frequency characteristics. In the frame of middle nonlinear regime (regime ¹2) it is made the comparison of amplitude-frequency characteristics for magnetic and elastic oscillations between two cases: when modulation is present and modulation is absent. It is shown that when modulation is absent the amplitude-frequency characteristics for magnetization has form of oblique triangle with smooth rounding and amplitude-frequency characteristic for elasticity has strong peak on the frequency of elastic oscillations resonance. When the modulation is in presence the characteristic of magnetic oscillations increases on 20% and more ant it approach in its upper part to unit. In this case on the characteristic for magnetic oscillations it is appeared two high intended peaks. First of these peaks has three-petal character and is located near the frequency of ferromagnetic resonance. Second of these peaks is located on the frequency which is in twice of first peak. The amplitudes of these peaks are equal to each other. When the modulation is in presence the magnetic and elastic characteristics have high intended which has chaotic view. It is investigated the influence of transverse component of constant magnetic field on amplitude-frequency characteristics of magnetic and elastic oscillations. It is shown that the amplitude-frequency characteristics for magnetic oscillations in all three regimes in the case of transverse field is in presence are not changed. In this case the amplitude-frequency characteristics for magnetic oscillations in the case of transverse field is in presence in linear (regime ¹1) and partly in moderate nonlinear (regime ¹2) regime of excitation are increased to order and more. It is investigated the influence of disorganization between frequency of modulation and frequency of elastic resonance of plate. It is shown that amplitude-frequency characteristics to the changing of modulation frequency are smaller in sensitivity then oscillations itself and its spectra. In brief is enumerated the essential tasks which are followed from described investigation and may be serve objects for further investigations.

Key words: magnetoelastic interaction, nonlinear oscillations, amplitude-frequency characteristics.

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For citation:

V. S. Vlasov, D. A. Pleshev, V. G. Shavrov, V. I. Shcheglov. Amplitude-frequency characteristics of magnetostriction converter in amplitude modulation regime. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 4. Available at http://jre.cplire.ru/jre/apr19/9/text.pdf

DOI  10.30898/1684-1719.2019.4.9