Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Abstract

The manufacturing error of cycloid gear is the key factor affecting the transmission precision and meshing characteristics of cycloidal-pin gear in RV reducer. Taking the RV cycloidal-pin gear pair transmission as the object, a meshing contact analysis method is proposed for RV cycloidal-pin gear transmission considering the influence of manufacturing error. The modified tooth profile of cycloid gear is effectively superimposed and transformed by taking the influence of tooth profile and pitch errors of cycloidal gear into consideration, and the theoretical contact analysis model of cycloidal-pin gear transmission is established. By analyzing and solving the meshing contact model, the characteristic parameters such as the meshing point position, meshing backlash and transmission error of cycloidal-pin gear between the meshing contact surfaces are obtained under the influence of manufacturing error, and the effective pre-control of the tooth profile and the meshing contact performance is realized. The verification analysis results show that the manufacturing error has a great influence on the transmission accuracy of RV cycloidal-pin gear, among which the tooth pitch error has the greatest influence on the transmission error, which is in a positive proportion. And the influence of tooth profile error on transmission error is second. The meshing contact analysis method considers the interactive influence of the manufacturing error and modification shape of tooth profile on the meshing contact status of RV transmission; the cycloidal tooth profile can be obtained which is more suitable for engineering practice. This analysis method can provide the theoretical support and technical means for profile modification design, motion accuracy improvement and load-bearing contact analysis of RV transmission.

A Semi-Analytical Load Distribution Model for Cycloid Drives with Tooth Profile and Longitudinal Modifications

“…Research on cycloid drives concerning the geometrical design method [20,23], kinematic principle [18,24], and load distribution analysis [4,11,12,14,15,25] have all assumed a two-dimensional planar problem without considering the three-dimensional topological structure of the cycloid gear. However, in practice, like involute cylindrical gears [26][27][28], the cycloid gear is also crowned in the longitudinal direction to avoid edge contact between the teeth and rollers, considerably improving the contact stress distribution.…”

“…By using the new TCA model, the transmission error and contact force of the designed reducer can be predicted with different modified methods. Li et al [13,14] proposed a meshing contact analysis method for RV cycloidal-pin gear transmission considering the effect of manufacturing errors. Li et al [5,15] presented an analytical model for the KHV-type cycloid drive considering clearances of the cycloid gear pair and output mechanism at a system level, and they also proposed a mesh stiffness calculation method for cycloid gear pairs considering the tooth profile modifications and eccentric error.…”

A Loaded Analysis Method for RV Cycloidal-pin Transmission Based on the Minimum Energy Principle

“…The simultaneous meshing of multiple teeth of the cycloidal-pin gear not only allows the load to be distributed to each tooth pair, which improves the carrying capacity, and its error equalization effect greatly improves the transmission accuracy. However, the load distribution and actual contact conditions of the multi-tooth meshing are quite complicated, and higher requirements are also placed on the machining errors and assembly processes [6]. In practical applications, many factors, such as machining errors, assembly errors, and modification errors, have significant and complex effects on the meshing contact state of gear teeth.…”

“…The analysis method and model have been generated by some researchers [28] and [29]. In this section, the mathematical model of the cycloidal-pin transmission will be given for later use [6]. As shown in Fig.…”

“…Based on unloaded and loaded contact analyses of the cycloid speed reducer, Li et al [5] predicted the loads on various components in the presence of clearances and eccentricity errors. Li et al [6] proposed an unloaded meshing analysis method for RV cycloidal-pin drive considering the influence of manufacturing errors. Based on the influence coefficient method, Huang and Tsai [7] proposed a computerized approach of loaded tooth contact analysis for the contact tooth pairs of the involute stage and the cycloid stage.…”