考虑齿轮-转子系统振动响应的最佳修形曲线研究  

Optimal profile modification curves for spur gears considering vibration responses of a gear-rotor system

作　　者：马辉[1] 逄旭[1] 宋溶泽[1] 闻邦椿[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819

出　　处：《振动与冲击》2015年第11期17-22,共6页Journal of Vibration and Shock

基　　金：中央高校基本科研业务费专项资金资助(N130403006);教育部新世纪人才支持计划(NCET-11-0078)

摘　　要：轮齿修形可减小齿轮静态传动误差,改善齿轮动态特性。基于现有文献,考虑基圆与齿根圆不重合,在齿廓精确建模的基础上确定齿轮的时变啮合刚度和静态传动误差。针对不同修形曲线在不同修形量下齿轮静态传动误差的变化进行分析,给出了不同修形量范围内的最佳修形曲线,并结合齿轮-转子系统动力学模型,考虑齿廓修形引起的无载荷静态传动误差,分析不同修形曲线下系统的振动特性,进一步确定不同转速下最佳修形曲线。研究结果表明通过评估齿轮-转子系统的振动特性,可更好地确定不同转速下的轮齿的最佳修形曲线。Tooth profile modification can decrease the loaded static transmission error,and improve the dynamic characteristics of gear pairs.Here,based on available theories and literatures,the time-varying mesh stiffness （TVMS） and static transmission error （STE）were determined with a correction method considering misalign effect between the root circle and tooth base circle and an accurate gear profile curve.The optimal profile modification curves with different amounts of profile modification were determined by analyzing the STE changing with different profile modification curves and different amounts of profile modification.Combining a gear-rotor system dynamic model and considering the effect of no-load STE caused by profile modification,the vibration responses of the gear-rotor system with different gear profile modification curves were analyzed to determine the optimal profile modification curves at different rotating speeds.The results showed that the optimal gear profile modification curves at different rotating speeds can be determined by evaluating the vibration responses of the gear-rotor system.

关 键 词：齿廓修形 时变啮合刚度 静态传动误差 齿轮-转子系统 振动响应 

分 类 号：TH113[机械工程—机械设计及理论]