基于接触应力优化的摆线轮修形设计  

Modification design of cycloidal gear based on contact stress optimization

作　　者：赵致勃 顾大强[1] 李立新[1] 张靖 ZHAO Zhi-bo;GU Da-qiang;LI Li-xin;ZHANG Jing(School of Mechanical Engineering,Zhejiang University,Hangzhou 310000,China;Zhejiang Fine-motion Robot Joint Technology Co.,Ltd.,Taizhou 318000,China)

机构地区：[1]浙江大学机械工程学院,浙江杭州310000 [2]浙江环动机器人关节科技有限公司,浙江台州318000

出　　处：《工程设计学报》2022年第6期713-719,共7页Chinese Journal of Engineering Design

基　　金：浙江省重点研发计划项目(2021C01067)。

摘　　要：对摆线轮进行合理的修形能够极大改善RV (rotary vector,旋转矢量)减速器的传动性能和承载能力。为了进一步优化“反弓”齿廓的接触应力,在综合分析组合修形对反弓齿廓啮合力和接触应力的影响的基础上,提出了一种两段修形方法。该方法是将摆线轮齿廓分成2段,并根据需要对不同工作段的齿廓采用不同的修形量,以更灵活地设计摆线轮的齿廓。以RV-40E减速器为例,先利用MATLAB软件建立摆线轮受力分析模型,并按照两段修形方法确定新齿廓的修形量和方程;再利用ANSYS软件建立摆线轮与针齿接触的有限元模型,并对比新齿廓与反弓齿廓的接触应力。理论计算结果显示,新齿廓的最大接触应力降低了8.34%;有限元仿真结果显示,新齿廓的最大接触应力降低了4.39%,并分析了可能的误差来源。研究表明,两段修形方法可以改善摆线轮齿廓的接触应力和延长摆线轮的使用寿命,这为摆线轮的修形设计提供了一定的参考。Rational modification of cycloidal gear can greatly improve the transmission performance and bearing capacity of RV(rotary vector) reducer. In order to further optimize the contact stress of the "inverse arch-shaped " tooth profile, a two-stage modification method was proposed based on the comprehensive analysis of the influence of combined modification on the meshing force and contact stress of the inverse archshaped tooth profile. In this method, the cycloidal gear tooth profile was divided into two sections, and different modification quantities were adopted for different working sections according to the needs, so as to design the cycloidal gear tooth profile more flexibly. Taking RV-40E reducer as an example, the force analysis model of cycloidal gear was established by using MATLAB software, and the modification amount and equation of the new tooth profile were determined according to the two-stage modification method;then,the finite element model of contact between cycloidal gear and needle tooth was established by ANSYS software, and the contact stress between the new tooth profile and the inverse arch-shaped tooth profile was compared. The theoretical calculation results showed that the maximum contact stress of the new tooth profile was reduced by 8.34%;the finite element simulation results showed that the maximum contact stress of the new tooth profile was reduced by 4.39%, and the possible error sources were analyzed. The research shows that the two-stage modification method can improve the contact stress of cycloidal gear tooth profile and prolong the service life of cycloidal gear, which provides a certain reference for the modification design of cycloidal gears.

关 键 词：摆线轮 接触应力 组合修形 两段修形 有限元分析 

分 类 号：TH132[机械工程—机械制造及自动化]