Vibration of bending-torsion coupling gear-rotor-rolling bearing transmission system
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摘要: 考虑齿轮啮合及扭转作用,建立齿轮-转子-滚动轴承传动系统的弯扭耦合非线性动力学模型.考虑输入/输出端、齿轮轴的弯曲/扭转振动等问题,推导了不平衡齿轮-转子-滚动轴承弯扭耦合的动力学微分方程.在考虑齿轮偏心和滚动轴承非线性接触特性的情况下,分析了转速、偏心量以及轴承游隙等参数对系统振动响应的影响规律.研究发现:由于弯扭耦合的作用,在主动轴中有着非常明显的从动轴转频成分.而在扭转振动中则各轴转频和啮合频率表现得更为清晰;滚动轴承有其自身的谐振频率,在系统设计阶段需要注意避开滚动轴承的变刚度频率对系统的影响;随着齿轮偏心量的变化对系统的时域和频域响应也有着很大的影响.另外,轴承游隙对系统的振动响应也有着较大影响,应选择合适的轴承游隙,以减小系统各处的振动幅值.Abstract: A nonlinear dynamic model of bending-torsion coupling for gear-rotor-rolling bearing transmission system was estabished, with consideration of the gear meshing, torsion effect, input/output, and bending/torsion vibration of gear shaft. The dynamic differential equation was deuced based on the imbalanced gear-rotor-rolling bearing of bending-torsion coupling. Considering the gear eccentricity and nonlinear contact of rolling bearing, the influence law of parameters, including the speed, eccentric distance and bearing clearance, etc, on the system vibration response was analyzed. Result show that, an obvious component of rotational frequency of driven shaft existed in the driving shaft, due to the effects of bending-torsion coupling. However, the frequency of every rotation and engagement of shaft was more obvious in the torsional vibration. Given the rolling bearing's own resonance frequency, the effect of the variable stiffness frequency of rolling bearings on the system should be avoided during the system design. The change of gear eccentric distance also affects the time and frequency response of system. Besides, the bearing clearance also affects vibration response of the system. So a suitable bearing clearance is suggested to reduce the vibration amplitude of every part of system.
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Key words:
- gear-rotor /
- bending-torsion coupling /
- meshing frequency /
- contact /
- vibration response
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[1] Lin H H,Huston R L,Coy J J.On dynamic loads in parallel shaft transmissions[J].Journal of Mechanisms Transmissions and Automation in Design,1988,110(2):221-229. [2] Lin H H.Dynamic loading of spur gear with linear or parabolic tooth profile modifications[J].Mechanism and Machine Theory,1994,29(8):1115-1129. [3] 唐增宝,钟毅芳,周建荣.直齿圆柱齿轮传动系统的振动分析计算[J].华中理工大学学报,1993,21(4):44-49. TANG Zengbao,ZHONG Yifang,ZHOU Jianrong.A vibration analysis for a spur gear transmission system[J].Journal of Huazhong University of Science and Technology,1993,21(4):44-49.(in Chinese) [4] Lund J W.Critical speed,stability and response of a geared train of rotors[J].Journal of Mechanical Design,1978,100(3):535-538. [5] Iida H,Tamura A,Kiluchi K,et al.Coupled torsinal-flexural vibration of a shaft in a geared system of rotors[J].Bulletion of JSME,1980,23(186):2111-2117. [6] 夏伯乾,虞烈,谢友柏.DH型压缩机齿轮-轴承-转子系统动力学分析[J].振动工程学报,2003,16(2):251-225. XIA Boqian,YU Lie,XIE Youbo.Dynamics analysis of geared rotor-bearing system of DH type turbine compressor[J].Journal of Vibration Engineering,2003,16(2):251-225.(in Chinese) [7] 李明,胡海岩.完整约束下齿轮啮合转子系统的弯扭耦合振动稳态响应[J].振动工程学报,2003,16(1):79-84. LI Ming,HU Haiyan.Steady state response of the coupled lateral-torsional vibrations of geared rotor system under a holonomic constraint[J].Journal of Vibration Engineering,2003,16(1):79-84.(in Chinese) [8] LI Runfang,LIN Tengjiao,TAO Zeguang,et al.Study on coupled vibration response of gear system[C]//Proceedings of the JSME International Conference on Motion and Power Transmission.Fukuoka:JSME,2001:97-101. [9] 孙月海,张策,潘凤章.直齿圆柱齿轮传动系统振动的动力学模型[J].机械工程学报,2000,36(8):47-50. SUN Yuehai,ZHANG Ce,PAN Fengzhang.Dynamic model of a spue gear transmission system vibration[J].Chinese Journal of Mechanical Engineering,2000,36 (8):47-50.(in Chinese) [10] Maliha R,Dogruer C U,Özgüven H N.Nonlinear dynamic modeling of gear shaft-disk-bearing systems using finite elements and describing functions[J].Journal of Mechanical Design,2004,126(3):534-541. [11] Lee A S,Ha J W.Prediction of maximum unbalance responses of a gear-coupled two-shaft rotor-bearing system[J].Journal of Sound and Vibration,2005,283(3):507-523. [12] Li M,Yu L.Analysls of the coupled lateral torsional vibration of a rotor-bearing system with a misaligned gear coupling[J].Journal of Sound and Vibration,200l,243 (2):283-300. [13] 张策.机械动力学[M].2版.北京:高等教育出版社,2008. [14] 陈果.转子-滚动轴承-机匣耦合系统的不平衡-碰摩耦合故障非线性动力学响应分析[J].航空动力学报,2007,22(10):1771-1778. CHEN Guo.Nonlinear dynamic response analysis of unbalance-rubbing coupling faults of rotor-ball bearing-stator coupling system[J].Journal of Aerospace Power,2007,22(10):1771-1778.(in Chinese) [15] 唐云冰,高德平,罗贵火.航空发动机高速滚珠轴承力学特性分析与研究[J].航空动力学报,2006,21(2):354-360. TANG Yunbing,GAO Deping,LUO Guihuo.Research of aero-engine high-speed ball bearing[J].Journal of Aerospace Power,2006,21(2):354-360.(in Chinese) [16] 窦唯,张楠,刘占生.高速齿轮转子系统弯扭耦合振动研究[J].振动工程学报,2011,24(4):385-393. DOU Wei,ZHANG Nan,LIU Zhansheng.The coupled bending and torsional vibrations of the high-speed geared rotor-bearing system[J].Journal of Vibration Engineering,2011,24(4):385-393.(in Chinese) [17] Omar F K,Moustafa K A F,Emam S.Mathematical modeling of gearbox including defects with experimental verification[J].Journal of Vibration and Control,2012,18(9):1310-1321.
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