Studying the peculiarities of balancing of flexible double-support rotors by two passive automatic balancers placed near supports

Abstract

For balancing a wide range of flexible rotors by passive AB in practice, it is necessary to have a certain method, the efficiency of which is theoretically justified. Analysis of scientific literature and the problem statementThe paper [4] studied a possibility of balancing a flexible rotor on rigid supports by one or two two-ball AB in any correction planes (cross sections), placed at a distance from the supports. A flexible rotor was modeled as a weighty solid homogeneous elastic shaft of a sustained round cross section. In this case they examined stability of the provisions of the balance of balls, when there are no shaft deflections in the correction planes. It was found that in the case of one AB, automatic balancing occurs at the speeds exceeding its un-4

Parameter optimization of the centrifugal juicer with the ball auto-balancer under the impulse change of an unbalance by 3D modeling

“…The conditions for the auto-balancing onset during balancing of flexible rotors by passive auto-balancers of a certain type have been determined: -in case of balancing of the massive two-support flexible rotor by one and two two-ball auto-balancers [14]; -during balancing of the unbalanced disk, mounted on the flexible weightless two-support shaft by one [15] or two [16] two-ball auto-balancers, when auto-balancers are mounted on the shaft at a distance from the disk; -during balancing of the massive flexible rotor on two elastic-viscous supports by two multi-ball auto-balancers, mounted on the shaft near the supports [16]; -during the dynamic balancing of the flexible massive rotor on two compliant supports by two passive auto-balancers, located near the supports, also in [17], the conditions for the auto-balancing onset have been determined, and in [18], transition processes have been investigated.…”

“…-the principal possibility of balancing of a specific rotor by passive auto-balancers of any [3][4][5][6][7] or certain [3,[8][9][10][11][12][13][14][15][16][17][18] type; -the possibility of improvement of the accuracy of balancing and reduction of residual vibrations [2,[19][20][21][22]25];…”

“…Analytically, these processes have been studied in the few works [3,13,14,17,18]. This is due to the complexity of the differential equations, describing the motion of rotor systems with auto-balancers [3,[8][9][10][11][12][13][14][15][16][17][18]. Alternative methods of research are the numerical experiment and 3D modeling [9-11, 14-16, 25-27].…”

Methods of balancing of an axisymmetric flexible rotor by passive auto-balancers

“…Introduction of auto-balancers (masses movable relative to the rotor) to the system makes the equations even more complicated [3,[6][7][8][9][10][11][12][13][14][15][16]. Therefore, an analytical determination of the conditions for the occurrence of auto-balancing is a complex mathematical problem.…”

“…Analytically, the conditions for the occurrence of auto-balancing are determined in [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. At the same time, the most general conditions applicable for auto-balancers of any type and with any number of corrective weights, are received using the empirical criteria [3][4][5].…”