**Abstract.** The excitation of
nonlinear forced vibrations of magnetization and elastic displacement in normal
magnetized ferrite plate having magnetoelastic properties is investigated. This
investigation is made on the basis of simplified system consist of two
connected oscillators one of its having gyromagnetic properties. It is derived
the system containing two second order differential equations which gives the
connection between oscillators. It is drawn the significant role of nonlinear
component which having the multiplication of magnetic oscillator vibration amplitude
in square on the first degree of elastic oscillator vibration amplitude. For
the typical parameters of the task about microwave hypersound vibrations
excitation in the film of yttrium iron garnet it is made the numerical
appreciation of nonlinear coefficient item. On the basis of obtained equation
system for the case when resonance frequencies both oscillators are differed in
multiple relation it is made the investigation of forced vibrations development
in time. It is shown that in conditions of multiplication of second oscillator
frequency in comparison to the first oscillator frequency by defined values of
parameters the excitation of vibrations take place with non-stationary delay in
time. After the end of this delay the jumping increasing of vibrations
amplitude on one-two orders in value take place. It is shown that the
significant condition of delay is the large distinctions between the relaxation
time of both oscillators. It is found the threshold character of delay
realization over the excitation amplitude and critical character over the cubic
nonlinearity of first oscillator parameter. For the interpretation of delay
effect is proposed the hypothesis about the existence of the additional minimum
of system potential separated from the main minimum by potential barrier. It is
created the model on dynamical potential which defined the first oscillator
vibrations character in connection with the second oscillator amplitude as a
task parameter. It is shown that the main reason of minimum appearance is
nonlinear connection which is proportional to multiplication of magnetic oscillator
vibration amplitude in square on the first degree of elastic oscillator
vibration amplitude. The proposed model allows to describing the threshold
character of delay realization and the necessity of frequency multiplication of
second oscillator in comparison of first oscillator frequency. It is
investigated the delay character in wide interval of excitation amplitude
variation. It is found the critical value of amplitude which exceeding is the
necessary condition of delay. It is shown that after the critical value
exceeding the delay time is decreased in the law which is near to opposite
proportionality. It is investigated the dependence of delay and excited vibrations
character from the cubic nonlinearity parameter of first oscillator. It is
found the lower critical level of cubic nonlinearity parameter which is
necessary to the vibrations amplitude limitation. It is found the upper
critical level of cubic nonlinearity parameter above which the delay is suppressed.
The observed lower and upper critical levels of cubic nonlinearity parameter
are explained on the basis of dynamical potential model.

**Key words:** nonlinear vibrations,
magnetoelastic interaction, potential.

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