Abstract
With the increasing demands for high manufacturing accuracy and processing efficiency, micro/meso-scale machine tool systems are proposed. The availability of micro-spindles with ultra-high rotating angular speeds and ultra-small run-out are a key technology for micro/meso-scale cutting processes. Well-established design methods exist for traditional spindle systems, but there is a strong demand for a methodology to predict the dynamic characteristics, particularly at the micro-scale, which will dictate manufacturing accuracy. In this respect, the minimization of run-out is of paramount importance. In response to this, two problem areas are considered in this paper: (a) hybrid air bearing systems—a methodology related to the calculation of the load capacity and stiffness of hybrid air journal and thrust bearings, and (b) spindle rotor system—a methodology for the rotor dynamic analysis including critical speed, mode shape, and unbalanced response predictions. Mathematical models and simulation procedures are given, followed by explanations of their use. Finally, the proposed dynamic design method is demonstrated on a realized micro-spindle system model. Two designs namely the original design and a modified design are analyzed and comparisons are carried out. The numerical simulations and the experimental evidence available for the original design have substantiated the validity of the proposed dynamic design method. The proposed methodology lays the foundation for controlling run-out of the high speed micro-spindles in micro/meso-scale machine tools.
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References
Ehmann KF, DeVor RE, Kapoor SG, Cao J (2008) Design and analysis of micro/meso-scale machine tools. In: Smart devices and machines for advanced manufacturing (pp. 283–318). Springer, London
Sung H (2007) High-speed fluid bearing micro-spindles for meso-scale machine tools (Doctoral dissertation, Ph. D. Dissertation of the Northwestern University, USA)
Anonymous (2008a) http://www.fanuc.co.jp
Anonymous (2008b) http://www.atometric.com
Brown A (2008) Big stage for a small idea. Mechanical Engineering, April 27–31
Zhang SJ, To S (2013) The effects of spindle vibration on surface generation in ultra-precision raster milling. Int J Mach Tools Manuf 71:52–56
Martin DL, Tabenkin AN, Parsons FG (1995) Precision spindle and bearing error analysis. Int J Mach Tools Manuf 35(2):187–193
Marsh E, Arneson D, Van Doren MJ, Blystone SA (2005) The effects of spindle dynamics on precision flycutting. In Proceedings of the American society for precision engineering 2005 annual meeting
Zhang SJ, To S, Cheung CF, Wang HT (2012) Dynamic characteristics of an aerostatic bearing spindle and its influence on surface topography in ultra-precision diamond turning. Int J Mach Tools Manuf 62:1–12
An CH, Zhang Y, Xu Q, Zhang FH, Zhang JF, Zhang LJ, Wang JH (2010) Modeling of dynamic characteristic of the aerostatic bearing spindle in an ultra-precision fly cutting machine. Int J Mach Tools Manuf 50(4):374–385
Bhat N, Kumar S, Tan W, Narasimhan R, Low TC (2012) Performance of inherently compensated flat pad aerostatic bearings subject to dynamic perturbation forces. Precis Eng 36(3):399–407
Hassini MA, Arghir M (2012) A simplified nonlinear transient analysis method for gas bearings. Trans ASME-F-J Tribol 134(1):011704
Otsu Y, Somaya K, Yoshimoto S (2011) High-speed stability of a rigid rotor supported by aerostatic journal bearings with compound restrictors. Tribol Int 44(1):9–17
Liu ZS, Zhang GH, Xu HJ (2009) Performance analysis of rotating externally pressurized air bearings. Proc IME B J Eng Manufact 223(4):653–663
Zhang GH, Liu ZS, Wang GL, Yan JJ (2011) Analytical forces parameters identification of hybrid journal gas bearing based on transfer function. ASME TurboEXpo 2011:GT2011–GT45788
Chen CH, Tsai TH, Yang DW et al (2010) The comparison in stability of rotor-aerostatic bearing system compensated by orifices and inherences [J]. Tribology International 43(8):1360–1373
Delhaes GM, van Beek A, van Ostayen RA, Munnig Schmidt RH (2009) The viscous driven aerostatic supported high-speed spindle. Tribol Int 42(11):1550–1557
Wang CC (2011) Bifurcation analysis of high speed spindle air bearings. J Vib Control 17(1):103–114
Wang CC, Yau HT (2010) Theoretical analysis of high speed spindle air bearings by a hybrid numerical method. Appl Math Comput 217(5):2084–2096
Al-Bender F (2009) On the modeling of the dynamic characteristics of aerostatic bearing films: from stability analysis to active compensation. Precis Eng 33(2):117–126
Yang DW, Chen CH, Kang Y, Hwang RM, Shyr SS (2009) Influence of orifices on stability of rotor-aerostatic bearing system. Tribol Int 42(8):1206–1219
Zhang GH, Sun Y, Liu ZS, Zhang M, Yan JJ (2012) Dynamic characteristics of self-acting gas bearing–flexible rotor coupling system based on the forecasting orbit method. Nonlinear Dynamics 69(1–2):341–355
Guang-hui Z, Yi S, Zhan-sheng L, Fang-cheng X, Jia-jia Y (2011) Application of a forecasting coupling method to the non-linear dynamic analysis of a flexible rotor supported by externally pressurized orifices hybrid gas bearings. Proc Inst Mech Eng Part J: J Eng Tribol 225(8):704–717
Schiffmann J, Favrat D (2010) Integrated design and optimization of gas bearing supported rotors. J Mech Des 132:051007
Stoud KJ (1996) The design of aerostatic bearings, 1996. Whitestone BusinessCommunications, Nuneaton
Genta G (2005) Dynamics of rotating systems. Springer, NY
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Zhang, G., Ehmann, K.F. Dynamic design methodology of high speed micro-spindles for micro/meso-scale machine tools. Int J Adv Manuf Technol 76, 229–246 (2015). https://doi.org/10.1007/s00170-014-5887-3
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DOI: https://doi.org/10.1007/s00170-014-5887-3