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. Using the
quadratic approximation it is written the system of two connected second order
differential equations. The connection between these equations is ensured by
the formula part of one equation which is proportional to the variable quantity
of other equation. For the explanation of the vibrations in this system
development it is proposed the model which is consisted of combination of two
dynamical potentials. It is investigated the qualitative picture of vibrations
development which take place after the excitation is included. It is shown that
the combination of synchronization mechanism with first oscillator relaxation
process leads to delay of intensive vibrations excitation relatively to the
excitation switch moment. It is investigated the process of development vibration
in time in the case of symmetrical linear connection between oscillators. It is
found four most characteristic regimes corresponding to different levels of
linear connection parameter along its increasing: regime ¹1 – two-steps delay;
regime ¹2 – smooth saturation; regime ¹3 – intermittent jumps; regime ¹4 –
small-amplitude relaxation. In the regime ¹1 the development of vibrations
after first delay is occurs by two successive one to other sharp increasing of
amplitude. In the regime ¹2 the development of vibrations after first
two-steps delay is occurs by smooth amplitude increasing with going to the
permanent level. The regime ¹3 is characterized by two properties: the intermittent
jumps amplitude is more then two orders less then amplitude of permanent vibrations
in regime ¹2, and after the end of jumps the vibrations continues around the
new equilibrium position. The regime ¹4 take place only by very large values of
linear connection and characterized by rapid fading of both oscillators
vibrations with its own relaxation times. It is made the interpretation of observed
properties of these regimes on the basis of two-potential model. It is shown
that the non-symmetry of linear connection does not brought to formation of
other new vibration regimes except of investigated in the case of symmetrical
connection.
Key words: nonlinear vibrations,
magnetoelastic interaction, potential.
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