Abstract

This work is concerned with the dynamics of a so-called fluid balancer; a hula hoop ring-like structure containing a small amount of liquid which, during rotation, is spun out to form a thin liquid layer on the inner surface of the ring. The liquid is able to counteract unbalance mass in an elastically mounted rotor. The equations of motion for the coupled fluid-structure system are derived with the fluid equations based on shallow water theory. An analytical solution describing a so-called cnoidal wave is found. This wave can counterbalance the unbalance mass.

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