Dynamic balancing of roller forming unit drive
DOI:
https://doi.org/10.32347/2410-2547.2021.107.140-158Keywords:
roller forming unit, drive mechanism, inertia force, moment, balancingAbstract
The dynamic balancing of the drive mechanism for the roller forming unit with balanced drive is consideredin order to increase reliability and durability. Two dynamic balancing problems are solved in the simulation process of the drive mechanism balancing: the inertia forces balancing which applied in the masses centers of the motion links, and the torque balancing which reduced to rotation axis of the drive shaft, that arise from the inertia forces action.Wherein all kinematic characteristics of the unit forming trolleys are determined, the change functions of the kinetic energy for the unit each element and whole system, the inertia forces of the unit each element and the total inertia force, the total moment from the inertia forces action are written.The unit motion equation is compiled based on the Lagrange equations of the second-order, and the generalized force and moment on the drive motor shaft are determined.The drive mechanism imbalance is estimated by the maximum and root-mean-square values of the total inertia forceand total torque from the inertia forces action, the dimensionless coefficients, which express the root-mean-square values ratio of the total inertia force and inertia forces, that act on each trolley, and the root-mean-square values ratio of the moment from the inertia forces action of the whole mechanism and moment components from the inertia forces action of the individual elements.It is established that the best balancing of the inertia forces applied in the masses centers of motion links, and the torque balancing which reduced to rotation axis of the drive shaft, that arise from the inertia forces action, are observed at the cranks displacement angle value Δφ=90° for the roller forming unit with balanced drive. The work results may in the future are used to refine and improve the existing engineering methods for estimating the drive mechanisms of roller forming machines, both at design stages and in practical use.
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