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THEORIES ON ROTOR DYNAMICS

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Reasons for Creating the New Theory of Rotor Dynamics

Scientists began realization of works in the sphere of dynamics of rotors hanging in a vertical position in 1970. Their works have been successfully completed by creation of several centrifugal stands and a number of autobalancing devices patented abroad and in the USA as well.

First of all scientists were interested in unbalanced rotor physics processes. One of their successes was the new correct understanding of disk rotor with dynamic unbalance features.

Scientists have developed the liquid autobalancing devices operation theory, which in a consequence was modified for balancing machine operations calculations with disbalance pulse removal.

Besides, the criterions of automatic balancing and application methods for evaluation of serviceability and creation of new autobalancing devices were developed.

But scientists could not use theoretical investigations in the sphere of dynamics of rotors in the process of realization of their works. A system of differential equations is a basis of those investigations. The equations are obtained bi way of differentiation of potential and kinetic power of the rotor.

Scientists also noticed that methods based on usage of trial freight and graph analytical calculations of disbalances, are used of the theory and practice of balancing in spite of success in the sphere of dynamics of rotors. Scientists did not find acceptable explanation of a phenomenon of rotor's self-centering either. And the system of differential equations describing rotation of the rotor under the influence of static and moment unbalance (when eccentricity is 0) was the most doubtful.

In addition, scientists have come to a conclusion that the fundamental theory is discrepant and considerably differs from practice in spite of intensive development of rotor dynamics in elastic bearings during a century.

Scientists closely studied the existing literature on rotor dynamics and searched for the answers to questions:

     1. Under what forces the center of rotor weights directs to rotation axis at unlimited             increase of speed?

     2. What reasons result in Sommerfeld effect ?

     3. For what purposes the nature has provided the phenomenon of resonance?

     4. On what basis the theory of oscillations is transferred on rotors rotation?

     5. Why it is considered that for obtaining equations of unbalanced rotor dynamics it is           enough to add disturbance forces in a right member of equations of own oscillations of         ideally balanced rotor?

     6. Why having available aerodynamic forces the rotor rotates with speed of the shaft?

     7. For what reason should scientists use differential equations, if at this the linearization     of used values is made?

     8. Could Lagrange method result in obtaining false equations?

     9. Why in balance engineering the main methods of balance identification is carried out     with the help of trial plummets?

Searching answers to these issues A. Zhivotov has proposed and formulated a new hypothesis about nature and physics of rotation process of unbalanced rotor. This hypothesis has given the answer to all set above issues.