Oscillations of a Rigid Body with a Cavity Containing a Heterogeneous Fluid
Oscillations of the mechanical system with infinite (countable) number of degrees of freedom and internal resonance is considered. This system consists of a rigid body with a rectangular cavity containing a heavy heterogeneous ideal fluid. The body is attached to a fixed base by means of a spring and can move in a horizontal direction. Using asymptotic technique analytical solution for the equations describing joint oscillations of the body and the fluid was obtained in both resonant and nonresonant cases. Some qualitative features of the system were found. We present here not only theoretical results but also the experimental data which reveal beating and changing the frequency of oscillations of the body.
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