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Dynamic characteristics of NC table with SVD

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Abstract

This paper employs the SVD (singular value decomposition) method to study dynamic characteristics of a numerical control (NC) table. Acceleration signals of the NC table at three directions are tested; the singular spectrum of the signals is acquired with SVD; principal components of the signals are found out; dynamic characteristics of the signals and their contributing factors are studied by extracting dynamic characteristics of principal components; and signals and principal components are quantitatively analyzed by calculating signal energy. Results indicate that signal characteristics of the previous two principal components are apparent, based on which dynamic characteristics of chaotic signal can be extracted. Signal at the perpendicular direction of the table is significantly correlated with that at the horizontal motion direction, which indicates that they are excited from the same vibration source. However, signals perpendicular to each other in terms of the motion direction at the horizontal level are rarely correlated; the total signal energy is maximum at the motion direction, minimum at the horizontal non-motion direction, and medium at the perpendicular non-motion direction. Bending vibration of the lead screw at the perpendicular direction is far more violent than that at the horizontal direction.

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References

  1. Koren Y. Design of a digital loop for numerical control. In: Pure of the International Conference on Ind Elec and Cent Inst, 1978: 212–217

  2. Weck M. Hand Book of Machine Tool. New York: Wiley, 1984

    Google Scholar 

  3. Kao JY, Yeh ZM, Tarng Y S, et al. A study of backlash on the motion accuracy of CNC lathes. Int J Mach Tools Manufact, 1996, 36(5): 539–550

    Article  Google Scholar 

  4. Lauderbaugh L K, Ulsoy A G. Dynamic modeling for control of milling process. ASME Journal for Industry, 1988: 367–375

  5. Kulkarni P K, Simivasan K. Identification of discrete time dynamic models for machine tool feed drives. Modeling of Machine Tools, ASME Pub, 1991: 1–20

  6. Chen Y, Tlusty J. Effect of low-friction guideways and leadscrew flexibility on dynamics of high-speed machines. Annals of the CIRP, 1995, 44(1): 353–356

    Article  MATH  Google Scholar 

  7. Ebrahimi M, Whaley R. Analysis, modeling and simulation of stiffness in machine tool drives. Computer and Industrial Engineering, 2000: 93–105

  8. Zhao Yanjiang, Wang Shuxin, Liu Youwu. A study of optimized simulation of servo feed system of machining centre. Journal of Hebei University of Science and Technology, 1996 (2): 32–37 (in Chinese)

  9. Xu Chuangwen, Mu Xiqing. Analysis on effect of feed servo system characteristics on processing precision. Aviation Precision Manufacturing Technology, 2002, 38 (5): 43–46 (in Chinese)

    Google Scholar 

  10. Wu Nanxing. A study of simulation technology and structural dynamic features of CNC lathe with high speed and high precision. Doctoral Dissertation of Southeast University, 2004 (in Chinese)

  11. Wu Yalan. Development and study on CNC lathe feed system and hydraulic servo tool rest. Dissertation for the Master Degree of Shandong University, 2002 (in Chinese)

  12. Duan Lixiang, Zhang Laibin, Wang Zhaohui, et al. De-noising of diesel vibration signal using wavelet packet and singular value decomposition. Journal of China University of Petroleum (Edition of Natural Science), 2006, 30(1): 93–97 (in Chinese)

    MathSciNet  Google Scholar 

  13. FECIT Sci-Tech Product R&D Center. MATLAB7 Technology and Application of Auxiliary Signal Treatment, Beijing: Publishing House of Electronics Industry, 2005 (in Chinese)

    Google Scholar 

Download references

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Linhong Wang, Bo Wu, Runsheng Du & Shuzi Yang

  2. Department of Electromechanical Engineering, Nanyang Institute of Technology, Nanyang, 473004, China

    Linhong Wang

Authors
  1. Linhong Wang
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  2. Bo Wu
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  3. Runsheng Du
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  4. Shuzi Yang
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Correspondence to Bo Wu.

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Wang, L., Wu, B., Du, R. et al. Dynamic characteristics of NC table with SVD. Front. Mech. Eng. China 3, 385–391 (2008). https://doi.org/10.1007/s11465-008-0052-z

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  • DOI: https://doi.org/10.1007/s11465-008-0052-z

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