含裂纹两级人字齿轮传动系统弯-扭-轴-摆模型建立及振动特性影响  

Establishment of bending-torsion-axis-pendulum model and the effect of vibration characteristics of a cracked two-stage herringbone gear system

作　　者：王雨佳 董皓[1,2] 毕越 李小漫 刘升升 WANG Yujia;DONG Hao;BI Yue;LI Xiaoman;LIU Shengsheng(School of Mechatronic Engineering,Xi’an Technological University,Xi’an 710021,CHN;Engineering Research Center of Digital Intelligent Technology of High Performance Gear Transmission,University of Shaanxi Province,Xi’an Technological University,Xi’an 710021,CHN)

机构地区：[1]西安工业大学机电工程学院,陕西西安710021 [2]西安工业大学高端齿轮传动数智化陕西省高校工程研究中心,陕西西安710021

出　　处：《制造技术与机床》2024年第12期45-53,共9页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金项目(52375062);陕西省教育厅科研计划项目(23JC038);西安市科技计划项目(23GXFW0037);直升机动力学全国重点实验室开放基金资助项目(2024-ZSJ-LB-03-01)。

摘　　要：为揭示裂纹对两级人字齿轮传动系统的振动特性的影响规律,建立了考虑裂纹、时变啮合刚度、退刀槽和误差等因素的48自由度的弯-扭-轴-摆耦合动力学模型。模型中,采用势能法计算了含裂纹的两级人字齿轮传动系统中各齿轮副的时变啮合刚度,分析了裂纹对系统时变啮合刚度的影响。利用Runge-Kutta数值积分法进行求解,得到了表征振动特性的时域、频域、相图和Poincare图,并分析了裂纹对两级人字齿轮传动系统振动影响。通过试验,对比分析了正常齿轮与裂纹齿轮对系统振动特性的影响。结果表明,当齿轮出现裂纹时,系统的时变啮合刚度减小,并且随着裂纹的加剧,时变啮合刚度进一步降低;在裂纹的影响下,系统出现周期性冲击现象,在啮合倍频附近会出现明显的边频带,且随着裂纹的加剧系统的振动越来越明显;试验结果与理论分析一致性较好,能够为系统动态设计提供理论依据。To reveal the influence of cracks on the vibration characteristics of a two-stage herringbone gear transmission system,a 48-DOF bending-torsion-axis-pendulum coupling dynamic model of the system was established,taking into account factors such as cracks,time-varying meshing stiffness,backlash,and errors.In the model,the potential energy method was used to calculate the time-varying meshing stiffness of each gear pair in a two-stage herringbone gear transmission system with cracks,and the influence of cracks on the time-varying meshing stiffness of the system was analyzed.The Runge-Kutta numerical integration method was used to solve the problem,and time-domain,frequency-domain,phase diagram,and Poincare diagrams were obtained to characterize the vibration characteristics.The influence of cracks on the vibration of the two-stage herringbone gear transmission system was analyzed.Through experiments,the effects of normal gears and cracked gears on the vibration characteristics of the system were compared and analyzed.The results show that when cracks appear in the gears,the time-varying meshing stiffness of the system decreases,and as the cracks intensify,the time-varying meshing stiffness will decrease.Under the influence cracks,the system demonstrates periodic phenomena,characterized by distinct sidebands proximal to meshing frequency doubling,exacerbating the system’s as the cracks worsen.The experimental corroborate the theoretical analysis,furnishing a framework for the dynamic design of the system.

关 键 词：人字齿轮 裂纹 时变啮合刚度 弯扭轴摆 动力学 振动特性 

分 类 号：TH132.4[机械工程—机械制造及自动化]