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Optimization and research on multi-objective modification of cycloid wheel of RV reducer

Published:2023-12-26 author:QIAO Xuetao, ZHANG Hongwei, LI Youhua, et al. Browse: 224 Check PDF documents

Optimization and research on multi-objective modification of cycloid

wheel of RV reducer

QIAO Xuetao, ZHANG Hongwei, LI Youhua, SHENG Kun, ZHOU Shitao, CAO Kang, XU Hang

(School of Mechanical and Electrical Engineering, Zhongyuan University of Technology, Zhengzhou 450007, China)

Abstract: Aiming at the problem that it is difficult to ensure the comprehensive improvement of the load capacity and transmission accuracy of the RV reducer during the modification process of the RV reducer, and most of the research on the modification is the single-objective modification. The optimization method with the goal of reducer carrying capacity and backlash was proposed based on the RV,and dynamic experiments were conducted on the modified RV reducer using a comprehensive performance testing platform. Firstly, considering the modified tooth profile equation of the cycloid wheel and the specific parameters of the RV reducer required for the modification, the contact force generated by the standard cycloid wheel was analyzed. Then, according to the position of the maximum contact force, the calculation method of the power of the cycloid gear teeth was obtained. The number of teeth meshing at the same time was judged by comparing the initial meshing gap between the cycloid gear and the pin teeth and the deformation of the cycloid gear and the pin gear. MATLAB iterative calculation method was used to calculate the accurate maximum contact force, and the Hertz formula was used to calculate the leading contact force. Finally, the influence of different modification methods on the return difference was analyzed, and a multi-objective optimization model was established. The improved NSGA -Ⅱ algorithm gamultiobj genetic algorithm was used for optimization, and the optimal modification amount under the minimum fitness was obtained by solving the solution. To verify the accuracy of the modification method, a dynamic experiment was conducted on the modified RV reducer using a comprehensive performance testing platform. The research results show that after optimization, the maximum contact stress between cycloid gear teeth is respectively reduced by 11% and 13%, comparing with median and displacement modification. The optimized return difference is 0.013′, compared with both the equidistant change and the displacement modification, it has been improved. The multiobjective modification with the load capacity and backlash as the optimization target can better solve the problem of improving the comprehensive performance of the RV reducer.

Key words: rotary vector(RV) reducer; cycloid wheel; shape modification; multi-objective optimization; gamultiobj genetic algorithm; bearing capacity; return difference; contact stress

QIAO Xuetao, ZHANG Hongwei, LI Youhua, et al.Optimization and research on multi-objective modification of cycloid wheel of RV reducer[J].Journal of Mechanical & Electrical Engineering,2023.40（12）：1846-1856.

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