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- Title
Analytical determination of the stability movement boundaries of the Jeffcott rotor with multi-bodies autobalancer.
- Authors
Gorbenko, Alexander
- Abstract
In this paper the problem of the theory of rotating machinery autobalancing to reduce their vibration is considered by example of the simplest unbalanced Jeffcott rotor with multi-bodies autobalancer. The exact analytical solution for the determination of autobalancing motion stability boundaries is given. The obvious approximate expression for the boundary rotor speed is obtained. The useful necessary condition for the stability of rotor autobalancing is obtained. It is found that there are combinations of the system parameters values under which the autobalancing cannot be stable at any rotor speeds. There is a maximum possible value of the rotor unbalance, which can be steady eliminated by autobalancer. The criterias of rotor machines with autobalancer similitude are proposed. It is shown that the external rotor damping can both stabilize or destabilize the system. The practical recommendations for the choice of autobalancer parameters values resulting from analytical expressions are given.
- Subjects
STABILITY (Mechanics); ROTOR vibration; BALANCING machines; DAMPING (Mechanics); SPEED
- Publication
Vibroengineering Procedia, 2016, Vol 8, p152
- ISSN
2345-0533
- Publication type
Article