Kinematics of the transmission gear mechanism for roller machines with different diameters of drive shaft

Abstract The article describes the arrangement, principle of operation and kinematic analysis of a ten-link gear-lever differential transmission mechanism with a parallelogram lever contour for roller machines with different diameters of the working shafts. The purpose of the kinematic analysis of the transmission mechanism is to determine the velocities and accelerations of the mechanism links, the gear ratio of the mechanism, and to show the constancy of the gear ratio of the transmission mechanism when the center distance of the driving and driven tooth gears changes. An important condition for the normal operation of roller machines with different diameters of the working shafts is the coincidence of the gear ratio of the working shafts and the gear ratio of the transmission mechanism between these shafts. Initially, the kinematics of the mechanism was performed using the analytical method. In the analytical study of the mechanism, the centroid method was used. Dependencies for determining the kinematic parameters of the ten-link gear-lever transmission mechanism are derived. The advantages and disadvantages of this method are shown. Further, to compare the results of the study, the kinematics of the mechanism is performed by the graphic-analytical method. The method developed by the authors was used in the graphic-analytical study.