An Analysis of Power Friction Losses in Gear Engagement with Intermediate Rolling Elements and a Free Cage

Egor A. Efremenkov, Nikita V. Martyushev (), Svetlana K. Efremenkova and Egor S. Chavrov
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Egor A. Efremenkov: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Nikita V. Martyushev: Department of Materials Science, Tomsk Polytechnic University, 634050 Tomsk, Russia
Svetlana K. Efremenkova: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Egor S. Chavrov: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia

Mathematics, 2024, vol. 12, issue 6, 1-15

Abstract: Currently, mechanical gears with cycloid engagement are increasingly used in mechanisms along with involute ones. In modern drive mechanisms, using pin gears and gears with intermediate rolling elements (IRE) is widespread, which simultaneously use cycloid gears. To a greater extent, pin gears are now being investigated, but IRE gears have their undeniable advantages. Many works are devoted to the study of cycloid toothing for certain gears, but the efficiency, especially that of IRE gears, has practically not been investigated. Therefore, the analysis of power losses in the engagement of a gear with IRE and a free cage (IREFC) is relevant. In this analysis, the authors of the work have used laws of mechanics, methods of energy flows and a secant normal. Mathematical expressions have been obtained to estimate slip speeds and power friction losses in the engagement of a gear with IREFC, and a formula has been derived to determine the efficiency of a mentioned mechanical transmission. The calculation of slip speeds and power losses at the points of contact of a rolling element with cycloid profiles of wheels for selected initial parameters of a gear with IREFC has been presented. The friction power and the overall efficiency of the entire gear engagement have also been calculated. This work shows that power friction losses at the points of contact of a rolling element with cycloid profiles of tooth wheels of a gear with IREFC are not the same. The friction power in the contact of a rolling element with a cycloid profile of a cam is an order of magnitude higher than the friction power in the contact of a rolling element with a cycloid profile of a crown.

Keywords: friction power; efficiency; cycloid gears; rolling elements; free cage; cycloid engagement; sliding speed; cycloid profile; cycloid wheel; rolling friction; sliding friction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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