一种基于滚滑作用的新型摆线齿廓构建方法  

Method for Establishing New Cycloidal Tooth Profile based on Rolling-sliding Effect

作　　者：王琰华 李朝阳[1] 张也 陈兵奎[1] Wang Yanhua;Li Chaoyang;Zhang Ye;Chen Bingkui(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《机械传动》2020年第12期8-13,60,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金(5177050717)。

摘　　要：针对摆线针轮啮合副的针齿与摆线齿轮在实际啮合传动过程中存在的滑动现象,提出了一种基于滚滑作用的新型摆线齿廓模型的构建方法,在该新型模型中通过引入一滑动函数来表示针齿与摆线齿轮间的滑动。根据微分几何和齿轮啮合理论,推导了基于滚滑作用的摆线齿轮齿廓方程,确定了滚滑摆线针轮传动的啮合函数,给出了滚滑摆线针轮齿廓综合曲率半径和接触应力的计算方法。选取一假定滑动函数,根据经验选取相关参数,构建一新型摆线齿廓,与相同参数下标准摆线齿廓进行了对比,并比较了两种齿廓的综合曲率半径、齿面接触应力等特性。试制一滚滑摆线齿轮,应用于RV减速器中,完成了新型RV减速器样机2.5倍载荷下的加速疲劳寿命试验,对加速疲劳寿命测试前后滚滑摆线齿廓综合误差进行了对比测试,结果表明了基于滚滑作用的新型摆线齿廓模型构建方法的正确性和可行性。Aiming at the sliding phenomenon between the cycloidal gear and pinwheel in the actual meshing process of the cycloid pinwheel transmission,a novel cycloid tooth profile modeling method,in which using a sliding function to represent the slide between the pinwheel and the cycloidal gear in the cycloid pinwheel transmission,is proposed.Based on the differential geometry and gear meshing theory,the tooth profile equation of the rolling-sliding cycloidal gear is derived,the meshing function is determined,the calculation method of comprehensive curvature radius and contact stress of the rolling-sliding cycloidal gear are given.A new cycloid tooth profile,based on hypothetical sliding function which parameters are selected with experience,is constructed.The tooth profile,comprehensive curvature radius and contact stress of the new tooth profile and that of the standard cycloidal tooth profile are compared.A rolling-sliding cycloid gear is trial-produced and applied to the RV reducer,the accelerated fatigue test under 2.5 times load on the prototype of new RV reducer is completed.The deviation of the rolling-sliding cycloid tooth profile before and after the test is compared,and the result shows the correctness and feasibility of the new modeling method for the rolling-sliding cycloid tooth profile.

关 键 词：摆线轮 综合曲率半径 接触应力 有限元分析 加速疲劳寿命测试 

分 类 号：TH132.46[机械工程—机械制造及自动化]