基于齿面磨损失效的齿轮传动系统动态失稳盆转迁机理研究  

Study on dynamic instability basin migration mechanism of gear system based on tooth wear inefficiency

作　　者：石建飞 韩闯 王砚麟 靳伍银[1] 陈国龙 SHI Jianfei;HAN Chuang;WANG Yanlin;JIN Wuyin;CHEN Guolong(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学机电工程学院,兰州730050

出　　处：《振动与冲击》2025年第8期21-29,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(12102159,12462003);兰州市青年科技人才创新项目(2023-QN-39);兰州理工大学2024年研究生科研探索项目(256017)。

摘　　要：齿轮副安装误差加速齿面磨损,过度磨损会加剧轮齿啮合振动和非线性振动,引起齿轮过早失效,从而导致严重事故。为此,研究基于齿面磨损失效的齿轮传动系统动态失稳盆转迁机理对齿轮传动的安全可靠运行至关重要。考虑安装误差的影响计算齿轮副实际重合度;通过分析重合度与齿侧间隙的协同作用,提取齿轮副多状态啮合特征;计算并分析安装误差影响下时变啮合刚度、载荷分配系数和总动态啮合力的演化规律;建立含安装误差的直齿轮传动系统多状态啮合非线性动力学模型。基于非线性动态啮合力和Archard磨损模型,计算齿面磨损深度并构建基于齿面磨损失效的健康域。利用多初值分岔图、啮合力时间历程图、相图、Poincaré映射图和吸引域等,研究齿侧间隙与多初值的联合变化对动态失稳盆侵蚀与转迁规律的影响。结果表明,安装误差降低了齿轮副重合度和啮合刚度,非完全分岔引起共存多吸引子啮合力超限,导致动态行为的健康失稳,诱发动态失稳盆的侵蚀。间隙较大时在初值域的大部分范围内系统处于健康失稳状态。The mounting error of gear pair accelerates the tooth wear,and the excessive wear will aggravate the meshing vibration and nonlinear vibration of gear teeth,causing premature gear failure,resulting in serious accidents.In this regard,it is important to study the health-instability basin migration mechanism of the gear system based on the wear failure of tooth flanks,which is essential for the safe and reliable operation of gear transmissions.The actual overlap of the gear pair was calculated considering the effect of mounting error;the multi-state meshing characteristics of the gear pair were extracted by analyzing the synergistic effect of overlap and tooth flank clearance;the evolution laws of time-varying meshing stiffness,load distribution coefficient and total dynamic meshing force under the influence of installation errors were calculated and analyzed;the nonlinear dynamics model of multi-state meshing of spur gears system with mounting error was established.Based on the nonlinear dynamic meshing force and Archard wear model,the depth of tooth wear was calculated and the health domain based on tooth wear inefficiency was constructed.The effect of joint variation of tooth side gap and multiple initial values on erosion and transmigration patterns in health-instability basins was investigated using multi-initial bifurcation diagrams,meshing force time course diagrams,phase diagrams,Poincarémapping diagrams,and domains of attraction.The results show that the mounting error reduces the overlap and meshing stiffness of the gear pair,and the incomplete bifurcation causes the coexisting multi-attractor meshing force to exceed the limit,which leads to a healthy instability in the dynamic behavior,and induces the erosion of the health-instability basin.The system is in a healthy destabilization state over most of the initial value domain when the gap is large.

关 键 词：齿轮非线性振动 齿面磨损 多初值分岔 动态失稳盆 共存吸引子 

分 类 号：TH132[机械工程—机械制造及自动化]