考虑误差和齿面摩擦随机性的直齿圆柱齿轮副振动特性分析  

Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction

作　　者：高在达 李胜波 符升平 Polyakov Roman Gao Zaida;Li Shengbo;Fu Shengping;Polyakov Roman(School of Mechanical and Automotive Engineering,Xiamen University of Technology,Xiamen 361024,China;College of Marine Equipment and Mechanical Engineering,Jimei University,Xiamen 361021,China;Orel State University Named after I.S.Turgenev,Orel State 302026,Russia)

机构地区：[1]厦门理工学院机械与汽车工程学院,福建厦门361024 [2]集美大学海洋装备与机械工程学院,福建厦门361021 [3]OrelStateUniversityNamedafterI.S.Turgenev,RussiaOrel State 302026

出　　处：《机械传动》2022年第2期34-41,共8页Journal of Mechanical Transmission

基　　金：国家自然基金面上项目(51975500);福建省自然科学基金面上项目(2019J01862);福建省科技计划对外合作项目(2019I0022)。

摘　　要：针对考虑误差和齿面摩擦参数随机性的齿轮振动特性不明确的问题,综合统计法和集中质量法,数值研究误差和齿面摩擦参数的随机特性,分析轮齿误差对齿面摩擦参数的影响,建立计及误差和齿面摩擦参数随机性的直齿轮传动弯扭耦合振动模型;采用4阶龙格库塔法进行数值求解,得到齿轮传动的振动响应,探析齿轮误差和齿面摩擦参数随机性对齿轮振动特性的影响。结果表明,考虑误差和齿面摩擦随机性后,在两者的作用下齿轮动力学响应在频域与相图上表现出更为复杂的随机性,其中误差随机性对于齿轮系统动力学稳定性的干扰更强。研究结果为齿轮传动的动态设计提供理论参考。Aiming at the problem of gear vibration characteristics with considering the error and randomness of tooth surface friction parameters are not clear.Combined with statistical methods and concentrated mass methods,the numerically study of the random characteristics of errors and tooth surface friction parameter is carried out.The influence of gear tooth errors on tooth surface friction parameters is analyzed.The bending-torsional coupled vibration model of a spur gear transmission is established in consideration of error and randomness of the tooth surface friction parameters.The fourth-order Runge-Kutta method is used for numerical solution,the vibration response of the gear transmission is obtained.The influences of gear error and the random tooth surface friction parameters on gear vibration responses are explored.The results show that the dynamic responses of the gear pair have more complicated randomness in the frequency domain and phase diagram under the collective effects of the error and the random tooth surface friction.However,error randomness interferes more with the dynamic stability of the gear system.And the research results provide a theoretical reference for the dynamic design of the gear transmission.

关 键 词：随机误差 齿面摩擦 齿轮传动 齿轮动力学 

分 类 号：TH132.41[机械工程—机械制造及自动化] TH113.1