Solid-body dynamics in cavity with liquid under high-frequency rotational vibration

Perm State Pedagogical University - Perm, Russia

Received: 15 April 1996
Accepted: 7 November 1996

Abstract

The vibrational dynamics of bodies in cavities filled with liquid and subjected to high-frequency rotational vibrations is investigated. The equations of the average behavior of solid bodies in liquid are obtained by the method of averaging in the range of high frequency of vibrations. The generation of a specific average vibrational force applied to the bodies in the bulk of the cavity is demonstrated. The vibrational effect is strong enough to provide levitation in the gravity field of bodies denser than liquid: in case of horizontal axis of rotational vibration bodies could be lifted from the bottom to the ceiling of the cavity. The conditions for solid-cylindrical-bodies levitation in a sector of a horizontal cylindrical layer subjected to rotational vibration around its axis are found on the basis of these equations. The results of the experimental study of this problem corroborate the theoretical predictions.