Abstract
The invariants of rotational error motion are introduced and used to study the radial and axial errors of spindles. The actual motion of the rotor relative to the stator is described by its invariants; and then, the kinematic model for testing the radial and axial errors are established according to the measuring and evaluating principles. The relationships between the invariants and the proposed errors are set up by the model, and the kinematic properties of the errors are discussed. The spindle of a lathe is tested as an example, in which the actual motion of the rotor with six-DOFs in space are accurately considered. As a result, the intrinsic influences of different testing positions and directions are revealed.
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References
ISO 230-7:2006. Test code for machine tools-Part 7: Geometric accuracy of axes of rotation. ISO, 2006.
ASME B89.3.4-2010, Axes of Rotation: Methods for Specifying and Testing. American National Standards Institute, 2010.
E. R. Marsh, Precision spindle metrology, DEStech Publications, Inc, 2010.
K. P. Anandan, A. S. Tulsian, A. Donmez, et al., A technique for measuring radial error motions of ultra-high-speed miniature spindles used for micromachining, Precis. Eng. 36(1) (2012) 104-120.
D. L. Martin, A. N. Tabenkin, F. G. Parsons, Precision spindle and bearing error analysis, Int. J. Mach. Tools and Manuf. 35(2) (1995) 187-193.
P. Ma, C. Zhao, X. Lu, et al., Rotation error measurement technology and experimentation research of high-precision hydrostatic spindle, Int. J. Adv. Manuf. Technol. 73 (2014) 1313-1320.
Donaldson, R., “A simple method for separating spindle error from test ball roundness error,” CIRP Annals, Vol. 21, 1972
Gao W, Sato E, Ohnuma T etc.Roundness and spindle error measurement by angular three-probe method[J]. Joural of the Japan Society of Precision Engineering, 2002,9:1195-1199
G. X. Zhang, Y. H. Zhang, S. M. Yang, et al., A multipoint method for spindle error motion measurement, Ann. CIRP, 46(1) (1997) 441-445.
P. Ma, C. Zhao, X. Lu, et al., Rotation error measurement technology and experimentation research of high-precision hydrostatic spindle, Int. J. Adv. Manuf. Technol. 73 (2014) 1313-1320.
J. B. Bryan, The Abbe principle revisited: an updated interpretation, Precis. Eng. 1(3) (1979) 129-132.
D. Wang, W. Wang, Kinematic Differential Geometry and Saddle Synthesis of Linkages. John Wiley & Sons Singapore, Pte. Ltd. 2015.
Z. Wang, D. Wang, Y. Wu, et al., Error calibration of controlled rotary pairs in five-axis machining centers based on the mechanism model and kinematic invariants, Int. J. Mach. Tools and Manuf. 120 (2017) 1-11.
D. Wang, Z. Wang, Y. Wu, et al., Discrete kinematic geometry in testing axes of rotation of spindles, ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2016.
D. Wang, Z. Wang, Y. Wu, et al., Invariant errors of discrete motion constrained by actual kinematic pairs, Mech. Mach. Theory. 119(2018) 74-90.
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Fan, Z., Wang, Z., Wang, D. (2019). Study on Radial and Axial Errors of Spindles with Invariants of Rotational Error Motion. In: Uhl, T. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-20131-9_52
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DOI: https://doi.org/10.1007/978-3-030-20131-9_52
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