时变-随机激励下直齿轮系统啮合冲击与啮合能耗研究  

Research on meshing impact and meshing energy consumption of spur gear system under time-varying-random excitation

作　　者：韩威 杨杏 石建飞 HAN Wei;YANG Xing;SHI Jian-fei(Shaanxi Railway Institute,Weinan 714000,China;School of Mechanical and Electronical Engineering,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]陕西铁路工程职业技术学院,陕西渭南714000 [2]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2024年第6期58-64,共7页Journal of Lanzhou University of Technology

基　　金：陕西省教育厅科学研究计划项目(23JK0384)。

摘　　要：为研究时变-随机激励下直齿轮系统的啮合冲击特性,提出了齿轮系统时变-随机激励模型,建立了包含齿面摩擦和时变啮合位置的直齿轮副啮合与冲击非线性动力学模型.通过构建齿面和齿背接触Poincaré映射,分析动态啮合力和最大冲击能量损耗随啮合频率和误差幅值的演化规律,研究分岔和混沌对动态啮合力和最大冲击能量损耗的影响,探讨误差幅值-啮合频率两参数平面上最大冲击能量损耗的分布特性.结果表明,误差幅值和啮合频率及其匹配关系显著影响动态啮合力最大和冲击能量损耗,结论可为直齿轮系统的动态性能改善和可靠应用提供重要理论依据.To study the meshing-impact characteristics of spur gear system under combined time-varying and stochastic excitations,a time-varying and random external excitation model of the gear system is proposed.Based on this,a meshing-impact non-linear dynamic model of spur gear pair,including tooth surface friction and time-varying meshing position under bridge-road excitation,is established.The evolutions of the impact force and the maximum impact energy loss with the meshing frequency and error amplitude are analyzed by constructing the Poincarémapping section of the contact impact on the tooth surface and the tooth back.The effects of bifurcation and chaos on the dynamic meshing force and maximum impact energy loss are studied using nonlinear vibration theory.Additionally,the distribution characteristics of the maximum impact energy loss in a two-parameter plane are discussed.The results show that the error amplitude,meshing frequency,and their matching law greatly affect the dynamic meshing force and impact energy loss,which in turn critically affect the dynamic performance of the gear system.These findings provide a scientific basis for the dynamic performance improvement and reliability application of this type of gear system.

关 键 词：齿轮振动 啮合冲击 冲击能量损耗 非线性动力学 

分 类 号：TH132[机械工程—机械制造及自动化]