Comparative analysis of two gear-lever differential inter-roller transmission mechanisms

Abstract

Abstract A comparative analysis of the kinematics of two gear-lever differential transmission mechanisms is given in this paper. These mechanisms can be used in engineering and agricultural technological roller machines and can solve important technological and agrotechnical problems. The purpose of comparative analysis of gear-lever differential transmission mechanisms is to determine the values and the patterns of gear ratios of the mechanisms with similar geometrical and kinematic parameters; to estimate the additional angular velocities of the driven gear rings of the considered mechanisms depending on geometrical parameters of the mechanisms and kinematic parameters of the driven gear ring, since this additional angular velocitycan lead to geometrical slip between the material being processed and the working rolls. The devices and theoperation principle of the considered mechanisms were described in the paper.First, the levercircuits of the mechanisms were considered. In the lever circuits of the mechanisms, the geometrical parameters of the levers, the position of the lever circuits, as well as the rate and direction of the driving links velocity are known. The kinematic parameters of the lever circuits of the mechanisms were determinedanalytically.Further, using the results of the lever circuits of these mechanisms, the gear circuits of the mechanisms were also investigated analytically. The centroid method was usedin analytical study of the mechanism.The graphs of changes in gear ratios of the mechanisms were plotteddepending on changes in the interaxle distance of the driving and driven links. It was proved that in both gear-lever differential mechanisms under consideration the gear ratio changes with a change in the interaxle distance of the driving and driven links. However, the magnitude of the change in the gear ratio in a gear-lever differential transmission mechanism with a six-link double-circuit lever chain is less than in a gear-lever differential transmission mechanism with a four-link lever chain under the same geometrical and kinematic parameters of the mechanisms.