计入齿轮修形的时变啮合刚度计算模型研究  

Study on Calculation Model of Time-Varying Meshing Stiffness Considering Gear Modification

作　　者：官鑫 董远德 GUAN Xin;DONG Yuan-de(Department of Mechanical Engineering,Xinjiang Industrial Vocational and Technical College,Xinjiang Urumqi 830022,China;College of Mechanical and Electrical Engineering,Xinjiang Agricultural University,Xinjiang Urumqi 830052,China)

机构地区：[1]新疆工业职业技术学院机械工程系,新疆乌鲁木齐830022 [2]新疆农业大学机电工程学院,新疆乌鲁木齐830052

出　　处：《机械设计与制造》2024年第7期57-64,共8页Machinery Design & Manufacture

基　　金：2020年新疆维吾尔自治区重点研发计划项目(2020XJ098)—考虑实际制造的综合修形齿轮啮合刚度计算模型的改进。

摘　　要：针对精密齿轮的综合修形,建立了考虑耦合修形的时变啮合刚度优化分析模型(IAM)。在实际修形参数设计的基础上,推导了齿向鼓形修形和齿廓修形的齿面方程,提出了两种综合修形方法,给出了标准直齿圆柱齿轮、齿向鼓形齿轮、齿廓修形齿轮和综合修形齿轮时变啮合刚度的计算方法。该模型不需要依赖有限元法来确定相关系数,将该模型与已有模型进行了比较,并用有限元法进行了验证。结果表明,该模型在齿向鼓形修形、齿廓修形和综合修形的计算中具有较高的精度和计算效率。Aiming at the comprehensive modification of precision gear,a time-varying meshing stiffness optimization analysis model(IAM)considering coupling modification is established.Based on the design of practical modification parameters,the tooth surface equations of tooth drum modification and tooth profile modification are deduced,two comprehensive modification methods are proposed,and the calculation methods of time-varying meshing stiffness of standard spur gear,tooth drum gear,tooth profile modification gear and comprehensive modification gear are given.The model does not need to rely on the finite element method to determine the correlation coefficient.The model is compared with the existing models and verified by the finite element method.The results show that the model has high accuracy and efficiency in the calculation of tooth drum modification,tooth profile modification and comprehensive modification.

关 键 词：时变啮合刚度 齿轮修形 齿轮加工方法 直齿圆柱齿轮 

分 类 号：TH16[机械工程—机械制造及自动化]