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Prediction of Thermal Deformation for a Ball Screw System Under Composite Operating Conditions

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Transactions on Engineering Technologies

Abstract

The position error of a feed drive system is mostly caused by thermal deformation of a ball screw shaft. A high-speed ball screw system can generate massive heat with greater thermal expansion produced, and consequently have a negative effect on the positioning accuracy. In this study, we applied the computational approach using the finite element method (FEM) to simulate the thermal expansion process for estimating the deformation of the ball screw system. In the numerical analysis, the deformation of the ball screw shaft and nut was modeled via a linear elasticity approach along with the assumption that the material was elastic, homogeneous, and isotropic. To emulate the reciprocating movements of the nut at the speeds of 20, 40 and 60 m/min corresponding to the screw shaft, we also employed a three-dimensional unsteady heat conduction equation with the heat generation from the main sources including the ball screw shaft, nut and bearings as the heat transfer model to solve the temperature distributions for determining the temperature rises and axial thermal deformations in a ball screw shaft under composite operating conditions. The simulated results demonstrated that the countermeasures must be taken to thermally compensate great deterioration of the positioning accuracy due to vast heat production at high rotating speeds of shaft for a ball screw system.

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References

  1. R. Ramesh, M.A. Mannan, A.N. Po, Error compensation in machine tools—a review. Part II: thermal error. Int. J. Mach. Tools Manuf. 40, 1257–1284 (2000)

    Article  Google Scholar 

  2. W.S. Yun, S.K. Kim, D.W. Cho, Thermal error analysis for a CNC lathe feed drive system. Int. J. Mach. Tools Manuf. 39, 1087–1101 (1999)

    Article  Google Scholar 

  3. J. Bryan, International status of thermal error research. Ann. CIRP. 39(2), 645–656 (1990)

    Article  MathSciNet  Google Scholar 

  4. R. Ramesh, M.A. Mannan, A.N. Po, Thermal error measurement and modeling in machine tools. Part I. Influence of varying operation conditions. Int. J. Mach. Tools Manuf. 43, 391–404 (2003)

    Article  Google Scholar 

  5. J.S. Chen, A study of thermally induced machine tool errors in real cutting conditions. Int. J. Mach. Tools Manuf. 36, 1401–1411 (1996)

    Article  Google Scholar 

  6. S. Li, Y. Zhang, G. Zhang, A study of pre-compensation for thermal errors of NC machine tools. Int. J. Mach. Tools Manuf. 37, 1715–1719 (1997)

    Article  Google Scholar 

  7. C.H. Lo, J. Yuan, J. Ni, An application of real-time error compensation on a turning center. Int. J. Mach. Tools Manuf. 35, 1669–1682 (1995)

    Article  Google Scholar 

  8. M. Xu, S.Y. Jiang, Y. Cai, An improved thermal model for machine tool bearings. Int. J. Mach. Tools Manuf. 47, 53–62 (2007)

    Article  Google Scholar 

  9. S. Koda, T. Murata, K. Ueda, T. Sugita, Automatic compensation of thermal expansion of ball screw in machining centers. Trans. Jpn. Soc. Mech. Eng. Part C. 21, 154–159 (1990)

    Article  Google Scholar 

  10. ANSYS, 13 User Guide. ANSYS Inc. Canonsburg, PA, USA (2010)

    Google Scholar 

  11. A.S. Yang, S.Z. Cai, S.H. Hsieh, T.C. Kuo, C.C. Wang, W.T. Wu, W.H. Hsieh, Y.C. Hwang, in Thermal deformation estimation for a hollow ball screw feed drive system. Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering, WCE 2013, 3–5 July, 2013, London, U.K., pp. 2047–2052

    Google Scholar 

  12. A. Verl, S. Frey, Correlation between feed velocity and preloading in ball screw drives. Ann. CIRP 59(2), 429–432 (2010)

    Google Scholar 

  13. T.A. Harris, Rolling Bearing Analysis. (Wiley & Sons, New York, 1991), pp. 540–560

    Google Scholar 

  14. H. Li, Y.C. Shin, Integrated dynamic thermo-mechanical modeling of high speed spindles, part I: model development. Trans. ASME, J. Manuf. Sci. Eng. 126, 148–158 (2004)

    Article  Google Scholar 

  15. Z.Z. Xu, X.J. Liu, H.K. Kim, J.H. Shin, S.K. Lyu, Thermal error forecast and performance evaluation for an air-cooling ball screw system. Int. J. Mach. Tools Manuf. 51, 605–611 (2011)

    Article  Google Scholar 

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Acknowledgment

This study represents part of the results under the financial support of Ministry of Economic Affairs (MOEA) and HIWIN Technologies Corp., Taiwan, ROC (Contract No. 100-EC-17-A-05-S1-189).

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Correspondence to W. H. Hsieh .

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Yang, A.S. et al. (2014). Prediction of Thermal Deformation for a Ball Screw System Under Composite Operating Conditions. In: Yang, GC., Ao, SI., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8832-8_2

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  • DOI: https://doi.org/10.1007/978-94-017-8832-8_2

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8831-1

  • Online ISBN: 978-94-017-8832-8

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