考虑陀螺效应的铣削颤振分析
|
摘要
主要研究主轴旋转过程中产生的陀螺效应对切削颤振稳定性边界的影响。基于一种旋转下的主轴、刀杆和刀具模型,采用欧拉-伯努利悬臂梁理论获得考虑陀螺效应的切削系统的传递函数。在此基础上,探究了考虑陀螺效应的高速切削系统的稳定性。结果表明,陀螺效应改变了高速铣削的临界切削深度。并且在考虑陀螺效应的情况下,刀具齿数越多临界切削深度越小,降低系统刚度将减小临界切削深度,增大系统阻尼比将增大临界切削深度。
The influence of the gyroscopic effect produced by the spindle rotation on the cutting chatter stability boundary is studied in this paper, based on a rotating model of the spindle, the tool holder and the tool. In the model, the Euler-Bernoulli cantilever beam theory is adopted to obtain the transfer function of the cutting system with consideration of the gyroscopic effect, as well as to determine the stability of the high speed cutting system.The results show that the gyroscopic effect affects the critical cutting depth of the high speed milling.With the consideration of the gyroscopic effect, when the tooth number of the tool increases, the critical cutting depth decreases. Meanwhile, the critical cutting depth decreases with the decrease of the stiffness of the system and the damping ratio of the system.
The influence of the gyroscopic effect produced by the spindle rotation on the cutting chatter stability boundary is studied in this paper, based on a rotating model of the spindle, the tool holder and the tool. In the model, the Euler-Bernoulli cantilever beam theory is adopted to obtain the transfer function of the cutting system with consideration of the gyroscopic effect, as well as to determine the stability of the high speed cutting system.The results show that the gyroscopic effect affects the critical cutting depth of the high speed milling.With the consideration of the gyroscopic effect, when the tooth number of the tool increases, the critical cutting depth decreases. Meanwhile, the critical cutting depth decreases with the decrease of the stiffness of the system and the damping ratio of the system.
引文
1星铁太郎.机械加工颤振的分析与对策.顾崇衔译.上海:上海科学技术出版社,1984
2 Mini I,Yanushevsk B.A new theoretical approach for the prediction of machine tool chatter in milling.Journal of Manufacturing Science and Engineering,1993,115(1):1-8
3 Tlusty J,Ismail F.Basic non-linearity in machining chatter.CIRP Annals—Manufacturing Technology,1981,30(1):299-304
4 Altintas Y,Budak E.Analytical prediction of stability lobes in milling.CIRP Annals—Manufacturing Technology,1995,44(1):357-362
5 Budak E,Altintas Y.Analytical prediction of chatter stability in milling—part I:general formulation.Journal of Dynamic Systems Measurement&Control,1998,120(1):31-36
6 Altintas Y,Stepan BG,Merdol AD,et al.Chatter stability of milling in frequency and discrete time domain.CIRP Journal of Manufacturing Science and Technology,2008,1(1):35-44
7 庄润雨,镗杆动态稳定性与动力学模型的研究.[学位论文].石家庄:石家庄铁道大学,2016
8 Xiong GL,Yi JM,Zeng C,et al.Study of the gyroscopic effect of the spindle on the stability characteristics of the milling system.Journal of Materials Processing Technology,2003,138(1-3):379-384
9 Dilley DN,Bayly PV,Whitehead BT,et al.An analytical study of the effect of process damping on reamer vibrations.Journal of Sound and Vibration,2005,280(3-5):997-1015
10 Mosaddegh P,Movahhedy MR.A study of gyroscopic effects on stability of high speed milling.Asme International Mechanical Engineering Congress&Exposition,Orlando,Florida,2005
11 Movahhedy MR,Mosaddegh P.Prediction of chatter in high speed milling including gyroscopic effects.International Journal of Machine Tools&Manufacture,2006,46(9):996-1001
12 Arvajeh T,Ismail F.Machining stability in high-speed drilling—part 1:modeling vibration stability in bending.International Journal of Machine Tools and Manufacture,2006,46(12-13):1563-1572
13 Roukema JC,Altintas Y.Generalized modeling of drilling vibrations—part I:time domain model of drilling kinematics,dynamics and hole formation.International Journal of Machine Tools and Manufacture,2007,47(9):1455-1473
14 Roukema JC,Altintas Y.Generalized modeling of drilling vibrations—part II:chatter stability in frequency domain.International Journal of Machine Tools and Manufacture,2007,47(9):1474-1483
15 Mehrabadi IM,Nouri M,Madoliat R.Investigating chatter vibration in deep drilling,including process damping and the gyroscopic effect.International Journal of Machine Tools and Manufacture,2009,49(12-13):939-946
16 吴石,渠达,刘献礼等.轴向铣削力与陀螺效应对颤振稳定域的影响.振动、测试与诊断,2013,33(6):931-936
2 Mini I,Yanushevsk B.A new theoretical approach for the prediction of machine tool chatter in milling.Journal of Manufacturing Science and Engineering,1993,115(1):1-8
3 Tlusty J,Ismail F.Basic non-linearity in machining chatter.CIRP Annals—Manufacturing Technology,1981,30(1):299-304
4 Altintas Y,Budak E.Analytical prediction of stability lobes in milling.CIRP Annals—Manufacturing Technology,1995,44(1):357-362
5 Budak E,Altintas Y.Analytical prediction of chatter stability in milling—part I:general formulation.Journal of Dynamic Systems Measurement&Control,1998,120(1):31-36
6 Altintas Y,Stepan BG,Merdol AD,et al.Chatter stability of milling in frequency and discrete time domain.CIRP Journal of Manufacturing Science and Technology,2008,1(1):35-44
7 庄润雨,镗杆动态稳定性与动力学模型的研究.[学位论文].石家庄:石家庄铁道大学,2016
8 Xiong GL,Yi JM,Zeng C,et al.Study of the gyroscopic effect of the spindle on the stability characteristics of the milling system.Journal of Materials Processing Technology,2003,138(1-3):379-384
9 Dilley DN,Bayly PV,Whitehead BT,et al.An analytical study of the effect of process damping on reamer vibrations.Journal of Sound and Vibration,2005,280(3-5):997-1015
10 Mosaddegh P,Movahhedy MR.A study of gyroscopic effects on stability of high speed milling.Asme International Mechanical Engineering Congress&Exposition,Orlando,Florida,2005
11 Movahhedy MR,Mosaddegh P.Prediction of chatter in high speed milling including gyroscopic effects.International Journal of Machine Tools&Manufacture,2006,46(9):996-1001
12 Arvajeh T,Ismail F.Machining stability in high-speed drilling—part 1:modeling vibration stability in bending.International Journal of Machine Tools and Manufacture,2006,46(12-13):1563-1572
13 Roukema JC,Altintas Y.Generalized modeling of drilling vibrations—part I:time domain model of drilling kinematics,dynamics and hole formation.International Journal of Machine Tools and Manufacture,2007,47(9):1455-1473
14 Roukema JC,Altintas Y.Generalized modeling of drilling vibrations—part II:chatter stability in frequency domain.International Journal of Machine Tools and Manufacture,2007,47(9):1474-1483
15 Mehrabadi IM,Nouri M,Madoliat R.Investigating chatter vibration in deep drilling,including process damping and the gyroscopic effect.International Journal of Machine Tools and Manufacture,2009,49(12-13):939-946
16 吴石,渠达,刘献礼等.轴向铣削力与陀螺效应对颤振稳定域的影响.振动、测试与诊断,2013,33(6):931-936