Research of stability and transition processes of the flexible double-support rotor with auto-balancers near support

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.…”

“…It should be noted that the transition processes, after which an auto-balancing occurs, have been also analytically investigated in [3,12,14,18,21].…”

“…-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.…”