ENERGY TRANSFER BETWEEN HYDRODYNAMICAL SYSTEMS AND
EXCITATION MACHINES OF LIMITED POWER
Tatyana Krasnopolskaya
Forced vibrations of fluid free
surface in a cylindrical tank under interaction with
an
excitation machine of a limited power-supply (so-called "limited
excitation" phenomena) are investigated in detail. For a complex system -
a tank with fluid and an excitation machine - the regions of parameters for four
steady-state regimes: stationary, periodic, almost-periodic and
chaotic are determined. Attention is concentrated mainly on the
properties of chaotic attractors and energy transfer between
subsystems. Because the total power for every regime is balanced by the
rate of change of the total energy of the whole system it is
demonstrated how different is the energy distribution between
subsystems
for every of steady-state regimes.
Changes of the coefficient of the damping force
of fluid oscillations may control the chaotic regimes.