V. 325, №2 Mathematics, Physics and Mechanics, 2014

Rotor balancing by auto-balancer in visco-elastic fixed bed being in spatial motion Bulletin of the Tomsk Polytechnic University Vol. 325, № 2 : Mathematics, Physics and Mechanics

The relevance of the study is caused by the need to research rotor balancing by auto-balancers. The main aim of the study is to evaluate the transients during static balancing rotor with many corrective weights by auto-balancer. The rotor is placed in heavy visco-elastic fixed bed being in spatial motion; the rotor can spin there. The methods used in the study: theory of stability of mechanical system steady motions; mathematical theory of motion stability by Lyapunov. The results: the authors have determined the conditions of auto-balance occurring and have found out that: • bed and rotor form conventionally the composite rotor, more massive and long; its characteristics influence auto-balancing; • transients that characterize auto-balancing are divided into: fast - when corrective weights motion relative to rotor stop and rotor motion corresponding to the total imbalance of corrective weights and rotor imbalance is set; slow - when corrective weights come in auto-balancing position moving relative to rotor; • flow rate of the fast transients depends on bed fixing parameters, inertia characteristics of the composite rotor, rotation speed, balancing plane position, viscous resistance forces influencing the corrective weights; it does not depend on rotor imbalance, quantity and positions of corrective weights; • flow rate of slow transients depends additionally on rotor imbalance, number and positions of corrective weights, but it does not depend on resistance forces of supports.


rotor, imbalance, auto-balancer, main motion, stability of motion


Filimonikhin Gennadiy

Goncharov Valery

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