Vibrations in engineering and technology

Drach Ilona – PhD, Associate Professor of the Software Engineering Department of the Khmelnytskyi National University (Institutska 11, Khmelnitsky, 280016, Ukraine, e-mail: cogitare410@gmail.com).

The article deals with the case of stationary motion of a rigid rotor in rigid supports with a cylindrical chamber partially filled with liquid in the absence of a phase difference between the direction of force from the imbalance and the deflection of the rotor or the displacement of the rotor. The mathematical models of the upper bound of the chamber, eccentrically and symmetrically located on the shaft, are constructed and analyzed. In each case, on the basis of the integration of differential equations of equilibrium of a fluid, the laws of the distribution of pressure in a liquid are established and the shape of surfaces of equal pressure is determined. The cases studied model the behavior of the fluid in the auto-balancer without taking into account the external damping. The analysis of the constructed models indicates that it is impossible to automatically balance the hard rotor in the rigid supports with the liquid. For the experimental study of the process of automatic balancing and the subsequent analysis of theoretical and practical results, the method of dynamic photo-shooting of the behavior of working bodies was used.

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