考虑齿廓修形的行星齿轮传动系统动力学特性研究  

Dynamic characteristics of planetary gear transmission system with tooth profile modification

作　　者：莫帅 刘志鹏 罗炳睿 岑国建 徐家科 MO Shuai;LIU Zhi-peng;LUO Bing-rui;CEN Guo-jian;XU Jia-ke(School of Mechanical Engineering,Guangxi University,Nanning 530004,China;School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;Ningbo Zhongda Leader Transmission Equipment Co.,Ltd.,Ningbo 315301,China;State Key Laboratory of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]广西大学机械工程学院,广西南宁530004 [2]天津工业大学机械工程学院,天津300387 [3]宁波中大力德智能传动股份有限公司,浙江宁波315301 [4]华中科技大学数字制造装备与技术国家重点实验室,湖北武汉430074

出　　处：《振动工程学报》2024年第2期191-199,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(52265004);中国科协青年人才托举工程资助项目(2018QNRC001);直升机传动技术国防科技重点实验室开放基金资助项目(HTL-0-21G07);数字制造装备与技术国家重点实验室开放基金资助项目(DMETKF2021017);江苏省泰州市双创计划资助项目。

摘　　要：基于对行星齿轮传动系统高传动效率和低噪音等要求,以行星齿轮传动系统为研究对象,采用集中参数法建立了考虑偏心误差和安装误差的斜齿行星齿轮传动系统的弯⁃扭⁃轴耦合动力学模型,利用四阶Runge⁃Kutta法求解动力学方程得到行星齿轮的动态啮合力、动态传动误差和动载系数等动态特性,并以此为评价指标展开行星齿轮的修形研究。建立了齿廓修形后的齿面方程和考虑齿面修形的动力学方程,研究不同修形量的行星齿轮传动系统动态特性变化。研究结果表明,随着修形量的增大,行星齿轮的动态啮合力、动态传动误差和动载系数都有不同程度的降低,降到最低值后又开始增大,最终确定齿轮的合理修形量。经过整机性能测试发现合理修形下的行星减速器振动噪声降低、传动性能提升,为行星齿轮传动系统的减振降噪、传动效率提升设计提供了理论支撑。In order to meet the requirements of high transmission efficiency and low noise in the planetary gear transmission sys⁃tem,the bending-torsion-shaft coupling power of helical planetary gear transmission system was established by employing the lumped parameter method,with considerations for eccentricity error and installation error.Using the fourth-order Runge-Kutta method to solve the dynamic equation,the dynamic characteristics of the planetary gear,such as the dynamic meshing force,dy⁃namic transmission error,and dynamic load coefficient,were obtained.Based on this,the planetary gear modification research is carried out,and the tooth profile modification is established.Upon establishing the tooth surface equation and the dynamic equation that takes tooth surface modification into account,an analysis was conducted on the dynamic characteristics corresponding to vary⁃ing degrees of modification.The research results show that with the increase of the modification amount,the dynamic meshing force,dynamic transmission error and dynamic load coefficient of the planetary gear all decrease to varying degrees,and then in⁃crease after reaching the lowest value.Performance testing of the entire machine revealed a reduction in vibration and noise of the planetary reducer,as well as an improvement in transmission performance providing theoretical support for the design of vibration reduction,noise reduction and transmission efficiency improvement of the planetary gear transmission system.

关 键 词：行星齿轮传动系统 齿轮修形 动态啮合力 动态传动误差 

分 类 号：TH132.424[机械工程—机械制造及自动化]