高速人字齿轮传动系统动力学特性研究
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摘要
基于有限元数值解析法给出了人字齿齿轮传动系统的动力学方程并建立了转子-轴承-齿轮动力学系统的模型。建模过程中考虑了转子轴的剪切、弯曲、扭转、轴向力、陀螺效应及内阻尼的影响,同时也考虑了人字齿齿轮副的时变啮合刚度和传动误差的影响。并对高速齿轮转子进行了动力学分析,与试验齿轮箱实测数据对比基本吻合。
Based on the finite element numerical analysis method,the dynamics equation of herringbone gear transmission system is given and the model of rotor-bearing-gear dynamics system is established. The influence of shear,bending,torsion,axial force,gyroscopic effect and internal damping of rotor shaft are considered in the modeling process,and the influence of time-varying mesh stiffness and transmission error of herringbone gear pair is also considered. The dynamics analysis of high speed gear rotor is also carried out,which is basically consistent with the measured data of the test gearbox.
Based on the finite element numerical analysis method,the dynamics equation of herringbone gear transmission system is given and the model of rotor-bearing-gear dynamics system is established. The influence of shear,bending,torsion,axial force,gyroscopic effect and internal damping of rotor shaft are considered in the modeling process,and the influence of time-varying mesh stiffness and transmission error of herringbone gear pair is also considered. The dynamics analysis of high speed gear rotor is also carried out,which is basically consistent with the measured data of the test gearbox.
引文
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[2]INMAN D J.Engineering vibration[M].3rd ed.New Jersey:Prentice-Hall,2007:139-145.
[3]CHILDS D.Turbo machinery rotor dynamics phenomena modeling and analysis[M].New York:Wiley,1993:104.
[4]FREDERICK F Ling.Dynamics of rotating systems[M].Series edition.Berlin:Springer Group,2005:219.
[5]唐进元,蔡卫星,王志伟.修形圆柱齿轮啮合刚度计算公式[J].中南大学学报(自然科学版),2017,48(2):337-341.
[6]International Organization for Standardization.Calculation of load capacity of spur and helical gears-Part 1:Basic principles,introduction and generainfluence factors:ISO 6336-1:2006(E)[S].2nd ed.Geneva:International Organization for Standardization,2006:72-74.
[7]王峰,方宗德,李声晋.斜齿轮动力学建模中啮合刚度处理与对比验证[J].振动与冲击,2014,33(6):13-17.
[8]CHEN Siyu,TANG Jinyuan.Dynamics analysis of a crowned gear transmission system with impact damping:based on experimental transmission error[J].Mechanism and Machine Theory,2014,74:242-259.
[9]LIN H,WANG S,DOWELL E H,et al.Dynamic characteristics of double-helical planetary gear sets under time-varying mesh stiffness[J].Journal of Harbin Institute of Technology,2016,23(4):44-50.