基于改进分形方法的齿面磨损故障直齿轮啮合特性分析  

Meshing characteristic analysis of spur gear pair with tooth surface wear fault based on improved fractal method

作　　者：刘子濛 常成 胡昊东 马辉 张顺豪 赵松涛 张晓旭 彭志科 LIU Zi-meng;CHANG Cheng;HU Hao-dong;MA Hui;ZHANG Shun-hao;ZHAO Song-tao;ZHANG Xiao-xu;PENG Zhi-ke(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion System,Northeastern University,Shenyang 110819,China;Harbin Marine Boiler and Turbine Research Institute,Harbin 150078,China;School of Mechanical Engineering,Tongji University,Shanghai 201804,China;Institute of Vibration Shock&Noise,State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China [2]Key Laboratory of Vibration and Control of Aero-Propulsion System,Northeastern University,Shenyang 110819,China [3]Harbin Marine Boiler and Turbine Research Institute,Harbin 150078,China [4]School of Mechanical Engineering,Tongji University,Shanghai 201804,China [5]Institute of Vibration Shock&Noise,State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Journal of Central South University》2024年第5期1619-1636,共18页中南大学学报（英文版）

基　　金：Project(J2019-IV-0018-0086) supported by the National Science and Technology Major Project;China。

摘　　要：考虑实际的轮齿表面微观形貌,建立了轮齿间相互作用的三维分形接触模型。结合轮齿承载接触分析方法,考虑轮齿间摩擦力的影响,建立了直齿轮副的时变啮合刚度模型,并通过有限元方法进行了验证。结合Archard磨损模型,考虑齿面粗糙度和摩擦力的影响,分析了齿面磨损故障状态下直齿轮副的啮合特性和磨损深度,同时分析了摩擦力和分形参数对时变啮合刚度和磨损深度的影响。摩擦力导致节线处的时变啮合刚度发生突变。当直齿轮副处于双齿啮合时,摩擦因数的增加和分形维数的降低导致磨损深度的增加和时变啮合刚度的降低。时变啮合刚度随分形维数的变化呈线性变化。分形维数对时变啮合刚度和磨损深度的影响随着磨损周期的增加更为明显,超过了摩擦因数对其的影响。The three-dimensional(3D)fractal contact model of the interaction between gear teeth is established considering the actual surface morphology of gear teeth.The time-varying meshing stiffness(TVMS)model of spur gear pair is established and verified by finite element(FE)method based on the loaded tooth contact analysis(LTCA)method and considering the influence of friction between the gear teeth.The meshing characteristics and wear depth under tooth surface wear fault condition are analyzed by incorporating the Archard's wear model,considering the effects of tooth roughness and friction.The effects of friction and fractal parameters on TVMS and wear depth are analyzed.Friction causes the TVMS at the pitch line position to mutate.The increase in friction coefficient and decrease in fractal dimension result in the increase in wear depth and the decrease in TVMS within the region where two pairs of gear teeth engage in meshing.TVMS shows partial linearity with the change of fractal dimension.The influence of fractal dimension on TVMS and wear depth becomes increasingly prominent with the progression of wear cycles,surpassing the influence of friction coefficient.

关 键 词：直齿轮 啮合特性 分型接触 齿面摩擦力 磨损故障 

分 类 号：TH132.41[机械工程—机械制造及自动化] TH117.1