双重螺旋法准双曲面齿轮啮合性能研究  

Research on Meshing Performance of Hypoid Gears with Duplex Helical Method

作　　者：张宇[1] 梁佩 王志永[1] 董欣然 ZHANG Yu;LIANG Pei;WANG Zhiyong;DONG Xinran(Institute of Modern Mechanical Transmission Engineering Technology,Central South University of Forestry and Technology,Changsha 410004,China)

机构地区：[1]中南林业科技大学现代机械传动工程技术研究所,长沙410004

出　　处：《机械科学与技术》2024年第8期1313-1322,共10页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51805555);湖南省自然科学基金项目(2020JJ5989);湖南省教育厅项目(20A527)。

摘　　要：针对采用双重螺旋法(全工序法)加工的准双曲面齿轮副,运用数值分析的方法研究了安装误差、螺旋运动系数与啮合性能之间的作用规律。利用矢量法建立切齿加工数学模型,求得齿面方程并建立齿轮副装配数学模型,利用齿面接触分析(TCA)研究含多种安装误差的齿面接触特征;建立齿面失配数学模型,分析螺旋运动系数对齿面接触特征、几何形貌的影响规律,揭示双重螺旋法对轮齿工作面、非工作面不同的修形原理;结合刀具与齿坯之间的相对位置关系,阐述了展成线的求解过程,研究了螺旋运动系数对展成线位置的影响规律。对准双曲面齿轮副(7×43)进行磨齿和滚检实验,与数值分析结果进行对比验证了分析模型的正确性。Aiming at the hypoid gear pair manufactured with duplex helical method(completing method),the interaction rules among installation error,helical motion coefficient and meshing performance was studiedvia numerical analysis method.The vector method is used to establish the model for gear cutting,and the tooth surface equations are obtained,and the model for gear pair assembly is established,and the tooth surface contact characteristics with various installation errors are studied with tooth contact analysis(TCA).By establishing the model for tooth surface mismatch,the influence rules of the helical motion coefficient on the tooth contact characteristics and geometric morphology is analyzed,and the different modification principle on the working surface and non-working surface of gear teeth via duplex helical methodis revealed.Combining with the relationship of the relative position between the cutter and the gear blank,the solution process of generating line is expounded,and the influence rules of the spiral motion coefficient on the generating line position is analyzed.The experiment of geargrinding and rolling inspection of the hypoid gear pair(7×43)is carried out,and the correctness of the model is verified by comparing with the numerical results.

关 键 词：双重螺旋法 准双曲面齿轮 安装误差 啮合性能 齿面接触分析 齿面失配 

分 类 号：TH132.4[机械工程—机械制造及自动化]