裂纹故障对斜齿轮时变啮合刚度及振动响应的影响分析  

Influence of crack faults on time-varying mesh stiffness and vibration response of helical gears

作　　者：林腾蛟[1] 郭松龄 赵子瑞 魏静[1] LIN Tengjiao;GUO Songling;ZHAO Zirui;WEI Jing(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,China)

机构地区：[1]重庆大学机械传动国家重点实验室

出　　处：《振动与冲击》2019年第16期29-36,63,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51175524);重庆市重点产业共性关键技术创新专项(cstc2015zdcy-ztzx70013);中央高校基本科研业务费专项资金(106112017CDJZRPY0018)

摘　　要：以含裂纹故障的斜齿轮传动系统为研究对象,结合轮齿接触、弯曲、剪切、轴向压缩及基体弹性变形,提出了含裂纹故障斜齿轮副时变啮合刚度修正算法,并通过有限元法验证了算法的正确性,而后分析了不同长度、深度、角度等裂纹参数对斜齿轮啮合刚度的影响规律。在此基础上,综合考虑齿轮时变啮合刚度、静态传动误差、轴承支撑刚度及齿轮转子陀螺力等因素,基于轴系单元法建立了单级裂纹故障斜齿轮传动系统耦合动力学模型,采用Newmark-β法对系统动态特性进行分析,研究了裂纹参数对系统振动响应的影响。结果表明,随着裂纹深度及长度的增加,齿轮副啮合刚度有较大幅度的减小,系统时域响应中存在周期性冲击现象,频域响应中出现了以啮合频率为中心的调制边频带,研究结果可为含裂纹齿轮传动故障诊断提供理论依据。Focusing on a helical gear transmission system,a modified algorithm of the time-varying mesh stiffness of helical gears with crack fault was proposed.Considering the elastic deformation of tooth contact,bending,shear,axial compression and the wheel body,then the correctness of the algorithm was verified by using the finite element method.The influence of crack parameters,such as the length,depth and angle of crack,on the mesh stiffness of helical gears was analyzed.After that,a coupling dynamic model of the helical gear transmission system with crack fault was established based on the shafting element method.In this model,the factors such as the time-varying mesh stiffness,static transmission error,bearing stiffness,and the gyro force of gear rotor were taken into consideration.The dynamic characteristics of the system were analyzed by the Newmark-βmethod,then the effect of crack parameters on the vibration response of the system was studied.It is shown that the mesh stiffness of gears decreases with the depth and the length of the crack.There are some periodic impulses in the time domain.Moreover,the mesh frequency modulated sideband appears in the frequency domain.The research results can provide a theoretical basis for crack fault diagnosis of the gear transmission.

关 键 词：斜齿轮 裂纹故障 啮合刚度 耦合动力学模型 动态响应 

分 类 号：TH132.4[机械工程—机械制造及自动化]