推杆针轮活齿传动齿形修形分析及优化  

The analysis and optimization of the tooth profile modifications on push-rod′s oscillatory transmission with a needle gear

作　　者：费宇[1,2] 张世友 姚进[1] 谢超 李华[1] FEI Yu;ZHANG Shiyou;YAO Jin;XIE Chao;LI Hua(School of Mechanical Engineering,Sichuan University,Chengdu 610065,China;Sichuan Provincial Machinery Design&Research Institute,Chengdu 610063,China)

机构地区：[1]四川大学机械工程学院,四川成都610065 [2]四川省机械研究设计院,四川成都610063

出　　处：《哈尔滨工程大学学报》2020年第3期448-454,共7页Journal of Harbin Engineering University

基　　金：四川省科技厅重点研发项目(2017GZ0058).

摘　　要：为了防止实际加工和装配过程中的误差导致的齿形干涉,使啮合副获得合适的齿侧间隙以改善传动性能,必须对推杆针轮活齿传动进行活齿齿形修形。本文分析了等距、移距、转角等修形方法获得的活齿的修形齿形特点,提出了“等距+移距”的组合修形适用于推杆针轮活齿传动的活齿修形。以回差大小作为修形齿形的评价标准,建立了修形齿形的回差数学模型。分析了“等距+移距”组合修形不同组合方式的回差,得到了推杆针轮活齿传动的齿形修形最佳组合方式为“负等距+正移距”。建立了以回差最小为目标函数的组合修形最佳修形量的优化模型,实例表明所提出的优化模型实用可行。In order to prevent the tooth shape interference caused by the error in the actual machining and assembly process and ensure the meshing pair obtain a suitable flank clearance to improve transmission performance, it is necessary to perform the tooth profile modifications on push-rod′s oscillatory transmission with a needle gear. The characteristics of the modified tooth profile obtained by the method of isometric modification, move modification, angle modification and others are analyzed. It is proposed that the combination of ‘isometric modification + move modification′ is suitable for the tooth profile modifications on push-rod′s oscillatory transmission with a needle gear. The modified tooth profile is evaluated with the size of the backlash, and the mathematical model of the backlash is established. The backlash of all combinations involved in the ′isometric modification + move modification′ is analyzed, deriving that the best combination of tooth profile modifications for the push-rod′s oscillatory transmission with a needle gear is ′negative isometric modification + positive move modification′. The optimization model of the optimal tooth profile modification with the minimum backlash as the objective function is established. The practicality and feasibility of the optimization model is shown by an example.

关 键 词：推杆针轮活齿传动 活齿齿形修形 等距修形 移距修形 转角修形 组合修形 回差 优化 

分 类 号：TH132.41[机械工程—机械制造及自动化]