The vibrations of an infinite plate in contact with an acoustic medium
where the plate is subjected to a point excitation by an electric mot
or of limited power-supply are considered. The whole system is divided
into two: ''exciter-foundation'' and ''foundation-plate-medium''. In
the system ''motor-foundation'' three classes of steady-state regime a
re determined: stationary, periodic and chaotic. The vibrations of the
plate and the pressure in the acoustic fluid are described for each o
f these regimes of excitation. For the first class they are periodic f
unctions of time, for the second they are modulated periodic functions
, in general with an infinite number of carrying frequencies, the diff
erence between which is constant. For the last class they correspond t
o chaotic functions. In another mathematical model where the exciter s
tands directly on an infinite plate (without foundation) it was shown
that chaos might occur in the system due to the feedback influence of
waves in the infinite hydroelastic subsystem in the regime of motor sh
aft rotation. In this case the process of rotation can be approximatel
y described as a solution of the fourth order nonlinear differential e
quation and may have the same three classes of steady-state regime as
the first model; i.e., the electric motor may generate periodic acoust
ic waves, modulated waves with an infinite number of frequencies, or c
haotic acoustic waves in the fluid.