Determination of parameters and stability zones of pendulum auto-balancer of rotor, installed in housing on elastic supports

Abstract

Using the methods of the small parameter of nonlinear mechanics, the formulas for determining the parameters of the pendulum auto-balancer were obtained in the article. Conditions for the stability of the auto-balancing process of the unbalanced rotor, fastened in the housing on the elastic supports, were also found. It is established that the stable operation of the auto-balancer can be implemented in the angular velocity ranges of the rotor due to the choice of the stiffness characteristics of the elastic supports.

Experimental study of the accuracy of balancing an axial fan by adjusting the masses and by passive auto-balancers

“…This is the sensitivity of auto-balancers to imbalance. Previously [20], the sensitivity was considered to be worse (10-15 %). Understatement [21] of balancing quality (and the sensitivity of auto-balancers to imbalance) was due to that the quality was estimated based on the total, rather than non-1x components of RMS of vibration speed.…”

“…It was proven that a short rotor performs dynamically as the longer one provided the rotor is installed on rigid supports inside a heavy elastic-viscous enclosure. A conditionally longer rotor can be found, for example, in the differential equations of a system's movements, where part of the mass-inertial characteristics of the body is added to the mass-inertial characteristics of the rotor [20]. The impeller of an axial fan is actually installed on the rigid supports inside an elastically-viscously fixed casing.…”

“…Passive auto-balancers, in particular of the ball type, have been applied for balancing high frequency rotors during operation. In the ball auto-balancers, under certain conditions, the balls themselves come to the position wherein the rotor is balanced and then rotate with it as one unit until the imbalance starts to change, or the disturbance of another origin emerges [14,[17][18][19][20].…”

Simulation of the Automatic Balancing Process of A Rotor, Rigidly Fixed in the Housing on Elastic Supports

“…1. This model was used in [18] to develop a method of calculating the parameters and zones of stable operation of pendulum auto-balancers. In this work, it is shown that the stable operation of the autobalancing device can be achieved by selecting the mass-andinertia parameters of the housing and the stiffness properties of the housing supports, so that the operating rotor speed falls within the stability zone of the auto-balancing device.…”

“…Most of the scientific works in this area is associated with the study of passive autobalancers for an individual rotor [4][5][6][7][8][9][10][11][12][13][14], where the balancing process is related to the effect of self-centering. However, in other works [15], [16], [17], [18], studies have shown that additional zones of stable operation of auto-balancers can be provided by adding overbalances [15] or by choosing parameters for rotor supports [16], or due to the choice of stiffness characteristics of the supports of the housing in which the rotor is installed [17], [18]. In these cases, the zones of stable operation of the auto-balancer are not in the zone of supercritical rotor speeds, but in the superresonant zones of the attached mass or housing on elastic supports, in which the rotor is installed.…”