Analysis of auto-modulation phenomena in the system of connected magnetic
and elastic oscillators on the basis of potential model
A. P. Ivanov
1,
V. G. Shavrov
2,
V. I. Shcheglov
2
1
Syktyvkar State University, Syktyvkar, Russia
2
Kotel’nikov Institute of Radio Engineering and Electronics of RAS,
Moscow, Russia
The paper is
received on June 7, 2015
Abstract.
The nonlinear forced vibrations of
magnetization and elastic displacement in normal magnetized ferrite plate
having magnetoelastic properties are investigated. The task is transformed to
model system of two connected oscillators having two and a half freedom degree. Two
classes of between-oscillator connection – through variable quantities and
through derivatives are investigated . For the connection through variable quantities it is
found the cubic potential with potential barrier. The excitation of auto-modulated vibrations is investigated. It is created the model of phase delay which
explains the auto-modulation phenomenon by small velocity of oscillator near
the top of potential barrier. The conditions of excitation of two-amplitude and
quasi-chaotic vibrations and also the motion of system to infinity are investigated.
Key words:
magnetoelastic interaction,
nonlinear vibrations, auto-modulation regime.