混合修形斜齿轮转子系统振动特性分析  

Vibration characteristics of the helical gear rotor system considering mixed modification

作　　者：赵百顺 李娜[1] 马辉[1,2] 韩洪征 赵志芳 ZHAO Bai-shun;LI Na;MA Hui;HAN Hong-zheng;ZHAO Zhi-fang(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,辽宁沈阳110819

出　　处：《振动工程学报》2021年第4期704-711,共8页Journal of Vibration Engineering

基　　金：辽宁省高等学校创新人才支持计划(LR2017035)。

摘　　要：由于制造、安装误差和轮齿变形等因素,齿轮在啮合过程中难免产生振动、冲击和噪声,对斜齿轮齿廓进行适当修形可以有效改善啮合状态,提升传动的平稳性。基于轮齿承载接触分析理论提出含齿顶修形和齿向修形两种方式的斜齿轮混合修形方法,建立计算考虑混合修形的斜齿轮时变啮合刚度模型,并通过ANSYS验证了该模型的有效性;基于提出的模型分析了不同修形参数对时变啮合刚度的影响;在啮合特性模型的基础上建立斜齿轮副动力学模型,考虑混合修形齿轮副啮合刚度的时变性,分析不同修形方式及修形量对齿轮转子系统振动响应的影响。研究表明,齿顶修形不仅可以避免齿轮边缘接触,而且在特定的频段范围内可大幅减小齿轮转子系统的振动,并为斜齿轮副的修形优化设计提供了理论依据。Gear system is the most widely used transmission system in engineering practice.It is of great significance to ensure the stability of the transmission process.Due to manufacturing,installation error and tooth deformation,it is inevitable that the gear will produce vibration,impact and noise in the meshing process.Proper modification of the helical gear profile can effectively im⁃prove the meshing state and the stability of transmission.A time-varying mesh stiffness model considering mixed modification for helical gears is proposed based on the loaded tooth contact analysis method and the validity of the model is verified.Based on the proposed model,the influence of different modifications on the meshing characteristics,such as time-varying mesh stiffness and load distribution on the tooth surface is analyzed.The meshing dynamics model considering the time-varying mesh stiffness of mixed modified gear pair is established,and the influence of different modification types and amounts on the vibration response of gear rotor system is analyzed.The results show that the mixed modification can not only avoid the edge contact,but also greatly re⁃duce the vibration of the gear rotor system in a specific frequency range.This paper can provide theoretical basis for dynamic design of modified helical gears.

关 键 词：转子系统 斜齿轮 动力学特性 轮齿修形 啮合特性 

分 类 号：O347.6[理学—固体力学] TH113.1[理学—力学]