Abstract
We describe and investigate a method to monitor flexural and torsional vibration of the main axle in a numerically controlled machining tool. The method uses the Doppler-frequency shift of a laser beam. More specifically, the axle vibration is measured using the differential method of two parallel beams and Mach–Zehnder heterodyne interference. The two beams irradiate a symmetrical section of the main axis with equal light intensity. The resulting Doppler frequency shift of the scattered light is affected by both flexural and torsional vibration. The scattered beam interferes with a reference beam. The interference signal after mixing is measured with a photoelectric detector. By using frequency discrimination, we can decouple the transient rotation speed from the torsional vibration of the machine tool. Our experimental results indicate that the transient linear velocity deviation of our measuring system is less than ±0.3 mm/s. Our study shows that it is possible to measure the vibration in a machine tool spindle at high speed rotation with good reliability.
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References
C. Liu, W. Sun, X. Li et al., Vibration testing method for CNC machines. Chin. J. Constr. Mach. 07, 330 (2009)
H. Jiang, X. Long, G. Meng, Study of the correlation between surface generation and cutting vibrations in peripheral milling. J. Mater. Process. Technol. 208, 229 (2008)
J.R. Bell, S.J. Rothberg, Rotational vibration measurements using laser Doppler Vibrometry: comprehensive theory and practical application. J. Sound Vib. 238, 673 (2000)
T.J. Miles, M. Lucas, N.A. Halliwell et al., Torsional and bending vibration measurement on rotors using laser technology. J. Sound Vib. 226, 441 (1999)
B. Sang, H. Zhao, Y. Tan, Research on the torsional vibration measurement with laser doppler technology. Chin J Lasers. 30, 743 (2003)
F. Durst, A. Melling, J.H. Whitelaw, Principles and practice of laser-Doppler anemometry. NASA STI/Recon Tech Report A. 76, 47019 (1976)
X. Shen, Technology and application of laser Doppler velocity measurement (Tsinghua University Press, Beijing, 2004)
S. Rothberg, J. Bell, On the application of laser vibrometry to translational and rotational vibration measurements on rotating shafts. Measurement 35, 201 (2004)
L. Xiang, S. Yang, C. Gan, Torsional vibration measurements on rotating shaft system using laser doppler vibrometer. Opt. Lasers Eng. 50, 1596 (2012)
H. Zhen, B. Liu, Q. Dong, Research on the torsional vibration measurement based on laser doppler technique. Acta Optic Sin. 26, 389 (2006)
L. Liu, H. Zhang, J. Guo, High precise measurement of target velocity using laser heterodyne technology. Opt. Precis. Eng. 19, 2366 (2011)
Q. Dong, B. Liu, H. Yang, Research on the principle of measure large rotation shaft torque using the laser doppler technique. Chin. J. Lasers. 30, 1019 (2003)
Y. Chen, Y. He, Analysis of main factors of influencing glass beads retroreflective performance. Acta Photonica Sinica. 32, 629 (2004)
H. Luo, C. Yuan, Retroreflective performance analysis of cube corner membrane structure. Acta Optic Sin. 35, 324 (2015)
ISO, Guide to the Expression of Uncertainy in Measurement (Geneva, 1995)
S. Ferson, V. Kreinovich, J. Hajagos, et al. Experimental uncertainty estimation and statistics for data having interval uncertainty. Sandia National Laboratories, Report SAND.0939 (2007)
B. Edlén, The refractive index of air. Metrologia. 2, 71 (1966)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant No. 61505169), and also was supported by Key projects in Sichuan province department of education (No. 15zd1114), and the natural science foundation of Southwest University of science and technology (No. 14zx7160), and was supported by the Key Project of Fundamental Co-construction of Sichuan Province in China (No. 13zxzk06).973 of Ministry of Science and technology of China (Grant No. 2013CB035405).
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Xiu-kun, Y., Xiao-qi, T. & Guo-lu, M.A. Real-time monitoring of the flexural and torsional vibration of the main axle of a numerically-controlled machine tool. J Opt 46, 352–357 (2017). https://doi.org/10.1007/s12596-016-0385-7
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DOI: https://doi.org/10.1007/s12596-016-0385-7