渐开线齿廓波度与齿轮传动性能的关联性  

Correlation Between Involute Profile Waviness and Gear Transmission Performance

作　　者：周源生 岳会军 武湘凯 石照耀[1] Zhou Yuansheng;Yue Huijun;Wu Xiangkai;Shi Zhaoyao(Beijing Engineering Research Center of Precision Measurement Technology and Instruments,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学北京市精密测控技术与仪器工程技术研究中心,北京100124

出　　处：《机械传动》2023年第3期8-14,56,共8页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51905010);国家重点研发计划(2018YFB2001400)。

摘　　要：渐开线齿廓含有大量的波度信息,将其拓展应用,与齿轮传动性能间建立联系,具有重要的工程价值。研究带波度渐开线方程的构建原理,拟合基于实测齿面数据的波度曲线;构建不同正弦波度渐开线齿廓,基于啮合原理在时域和频域范围内分析了波度的波长、幅值和相位与传动误差的关联性,并采用实际齿面数据进行了验证;建立带波度渐开线齿面有限元模型,对齿轮传动过程中波度的波长、幅值和相位与接触应力的关联性进行了仿真分析;开展齿轮传动误差试验,验证了传动误差计算的正确性。结果表明,齿轮传动误差波动幅度大小对齿廓波度的幅值变化较敏感;齿廓波度的周期性与传动误差阶次成分相关;波度波动周期数增加,齿数对应倍数的阶次幅值显著增大;齿面接触应力的大小主要受齿廓波度幅值的影响;渐开线齿廓波度的波长、幅值和相位的变化与齿轮的传动误差、接触应力具有较强关联性,可以基于齿廓波度信息预报齿轮啮合传动性能。Involute tooth profile contains a lot of waviness information.Digging and expanding the application of waviness information to establish its relationship with gear transmission performance has important engineering value.Studying the construction principle of equation of the involute with waviness is to fit the waviness curve based on the measured teeth surfaces data.The involute tooth profiles with different sine waviness are constructed.Based on the meshing principle,the correlation of wavelength,amplitude,phase of waviness and transmission error is analyzed in the time domain and frequency domain,and verified by actual tooth surface data.The finite element model of involute tooth surface with waviness is established,and the correlation between wavelength,amplitude,phase of waviness and contact stress in gear transmission is simulated and analyzed.The gear transmission error test is carried out to verify the correctness of the calculation of transmission error.The results show that the fluctuation amplitude of transmission error is sensitive to the amplitude change of tooth profile waviness;the periodicity of tooth profile waviness is related to the order component of transmission error;with the increase of the number of waviness fluctuation periods,the order amplitude of the corresponding multiple of the number of teeth increases significantly;the magnitude of tooth surface contact stress is mainly affected by the amplitude of profile waviness.Thus the waviness information of gear measurement results between macro and micro quantities is extended and applied,and the research provides a basis for predicting transmission performance based on waviness information.

关 键 词：渐开线波度 传动误差 接触分析 有限元模型 

分 类 号：TH132.41[机械工程—机械制造及自动化]