Influence of crank displacement angle on nonuniformity of roller forming installation motion with balanced drive

Authors

DOI:

https://doi.org/10.31548/machenergy2019.04.027

Keywords:

roller forming installation, driving mechanism, displacement, angular velocity, acceleration, unevenness.

Abstract

For a roller forming installation with a balanced drive mechanism for four molding bogies, the influence of the angle of displacement of the cranks on the nonuniformity of the engine is determined. Said installation is represented by a dynamic model with one degree of freedom, where the angular coordinate of crank rotation is taken as a generalized coordinate. For such a model, a differential equation of motion is written, for which a numerical method is used. When solving the differential equation of motion, the reduced moment of inertia of the whole plant, the moment of resistance forces to movement of forming bogies when forming articles from building mixtures, reduced to the axis of crank rotation, nominal design power of the driving engine is calculated. According to the calculated data, an asynchronous electric motor with a short-circuited rotor is selected, for which a mechanical characteristic is built according to the Kloss formula. Having solved the differential equation of motion with all certain characteristics, the function of changing the angular velocity of the crank from the moment of start-up and under the steady-state mode of motion is obtained. Thereafter, the time corresponding to the angular velocity value is calculated, and a function of changing the angular acceleration of the crank from the start-up moment and in the steady motion mode is obtained. Unevenness of motion of unit at steady motion mode is estimated by coefficient of unevenness of motion, coefficient of dynamic motion and generalized coefficient of motion estimation. Effect of angle of displacement of cranks at-water on unevenness of motion is monitored, as a result of which it is determined that specified coefficients have minimum values at displacement of cranks by angle 90 .

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Published

2020-01-30

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