摆轮活齿传动对称齿形设计方法与传动性能影响研究  

Performance analysis of swing roller movable teeth transmission based on symmetrical tooth profile

作　　者：宜亚丽[1,2] 孙振坤 陈美宇 金贺荣[1,2] YI Yali;SUN Zhenkun;CHEN Meiyu;JIN Herong(State Key Laboratory of Crane Technology,Yanshan University,Qinhuangdao 066004,CHN;School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,CHN)

机构地区：[1]燕山大学起重机械关键技术全国重点实验室,河北秦皇岛066004 [2]燕山大学机械工程学院,河北秦皇岛066004

出　　处：《制造技术与机床》2025年第3期180-186,共7页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(52375064);河北省自然科学基金资助项目(E2024203121)。

摘　　要：针对摆轮活齿传动非对称齿形导致的正反转传动性能差异的问题,提出一种摆轮活齿传动对称齿形设计方法及其参数选取策略。首先,通过建立高副低代等效机构模型,推导出激波器和中心轮齿廓函数;其次,依据机构转化原理,推导出推程段及回程段活齿运动路径所对应中心轮齿廓向径角;最后,以齿形对称为约束条件,制定活齿摆动中心分布圆半径及摆幅系数参数选取策略。结果表明,相较于非对称齿形,对称齿形减速器正反转啮合力峰值的均值低6.67 N和3.14 N,方差低31.32和6.10,验证了该方法的可行性和有效性。研究成果可为摆轮活齿对称齿形设计及参数选取提供理论指导。Aiming at the inconsistency in forward and reverse transmission performance caused by asymmetric tooth profiles in the swing roller movable teeth transmission,a symmetric tooth profile design method for the swing roller movable tooth transmission and its parameter selection strategy is proposed.Firstly,by establishing an equivalent mechanism model with replacing high pairs with low pairs,the tooth profile equations of the wave generator and the ring gear were derived.Secondly,through the mechanism conversion method,the radial angle of the ring gear tooth profile corresponding to the motion path of the movable tooth in the push and return section is deduced.Finally,taking tooth profile symmetry as a constraint,the selection strategy of swing center distribution circle radius of movable teeth and swing coefficient parameters is formulated.The results indicate that,compared with asymmetric tooth profiles.The results show that the mean value of the positive and negative meshing force of the symmetrical gear reducer is 6.67 N and 3.14 N lower than that of the asymmetric gear reducer,and the variance is 31.32 and 6.10 lower,which verifies the feasibility and effectiveness of the method.The research findings can provide theoretical guidance for the design and parameter selection of symmetrical tooth profiles for the swing roller movable teeth transmission.

关 键 词：摆轮活齿传动 对称齿形 摆幅系数 传动性能 等效机构 

分 类 号：TH132.4[机械工程—机械制造及自动化]