格里森制摆线齿锥齿轮齿面失配分析与轮齿接触仿真  

Tooth Surface Mismatch Analysis and Tooth Contact Simulation for Gleason Cycloid Bevel Gear

作　　者：聂少武[1] 刘少杭 耿龙龙 NIE Shaowu;LIU Shaohang;GENG Longlong(School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003

出　　处：《机床与液压》2023年第19期155-161,共7页Machine Tool & Hydraulics

基　　金：国家自然科学基金青年科学基金项目(51705134);河南省科技攻关项目(232102220057)。

摘　　要：为了能够对格里森制摆线齿锥齿轮啮合性能进行综合评判,提出集齿面失配分析、齿面接触仿真和齿面加载接触仿真于一体的系统性评价方法。构建刀盘数学模型和刀倾法切齿加工数学模型,获得理论齿面。研究与大轮齿面完全共轭的小轮基准齿面及齿面Ease off拓扑计算方法。在此基础上,基于齿轮啮合数学模型,研究齿面接触分析解析计算方法,构建齿面加载接触分析有限元仿真流程。最后以一对格里森制摆线齿锥齿轮为例进行了齿面失配分析和轮齿接触仿真,算例仿真结果与格里森软件一致,验证了齿面接触仿真算法的正确性,同时也表明采用有限元方法进行齿面加载接触分析在啮合性能评价方面具有较大的直观性。In order to evaluate meshing performance of Gleason cycloid bevel gear comprehensively,the systematic evaluation method including tooth surface mismatch analysis,tooth contact simulation and loaded tooth contact simulation was proposed.The cutter head mathematical model and tilt cutting mathematical model were established,and the theoretical tooth surface was derived.The pinion based tooth surface conjugated with gear and the calculation method of Ease off topography were studied.On the basis,the analytical calculation method of tooth surface contact analysis was studied based on gear meshing mathematical model,and the finite element simulation flow of loaded tooth surface contact analysis was established.Finally,taking a pair of Gleason cycloid bevel gear as an example,the tooth surface mismatch analysis and tooth contact simulation were carried out.The simulation result is consistent with the Gleason software,therefore the correctness of tooth surface contact simulation is verified.And the results show that the loaded tooth surface contact analysis by finite element method is more intuitive in terms of meshing performance evaluation.

关 键 词：格里森制摆线齿锥齿轮 切齿数学模型 齿面失配分析 齿面接触仿真 加载接触仿真 

分 类 号：TH132[机械工程—机械制造及自动化]