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Experimental and numerical study of the load distribution in a ball-screw system

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Abstract

In this work, load distribution on ball-screw systems (BSS) is determined by experimental techniques. Two optical techniques are used: photoelasticity for stress-field measurement and the mark-tracking method for displacement-field determination. In parallel to the experimental study, finite element method (FEM) and analytical solutions are used to calculate the loads applied on each ball of the BSS. Experimental results are used to validate the choice of boundary conditions and contact conditions between ball-screw and ball-nut in the FEM solution. The validation criterion is the correspondence between numerical and experimental fringes representing the differences of principal stresses. In addition to the study of load distribution, this paper presents the influence of the angle of contact direction on the stress distribution in BSS.

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References

  1. C. C. Wei and R. S. Lai, Kinematical analyses and transmission efficiency of a preloaded ball screw operating at high rotational speeds, Mechanism and Machine Theory, 46(7) (2001) 880–898.

    Article  Google Scholar 

  2. D. Mundo and H. S. Yan, Kinematic optimization of ballscrew transmission mechanisms, Mechanism and Machine Theory, 42(1) (2007) 34–47.

    Article  MATH  Google Scholar 

  3. J. Y. Liu, M. H. Hsu and F. C. Chen, On the design of rotating speed functions to improve the acceleration peak value of ball-screw transmission mechanism, Mechanism and Machine Theory, 36(9) (2001) 1035–1049.

    Article  MATH  Google Scholar 

  4. T. Yasuyoshi, Y. Takafumi and M. Susumu, Study on load distribution and ball motion of a ball screw, Journal of Japonese Society of Tribologist, 48 (2003) 659–666.

    Google Scholar 

  5. H. Shimoda, Stiffness analysis of ball screws: influence of load distribution and manufacturing error, Int. J. Japan Soc. Prec. Eng., 33 (1999) 168–172.

    Google Scholar 

  6. T. Huang and B. Ravani, Contact stress analysis in ball screw mechanism using the tubular medial axis representation of contacting surfaces, Journal of Mechanical Design, 119(1) (1997) 8–14.

    Article  Google Scholar 

  7. P. Matt, Développement de nouveaux codes de calcul de durée de vie de vis à billes, Rapport des travaux RF 5664-99, Ratier-Figeac, Figeac, France (1999).

    Google Scholar 

  8. J. S. Sirkis and J. T. Lim, Displacement and strain measurement with automated grid methods, Experimental Mechanics, 31(4) (1991) 381–388.

    Article  Google Scholar 

  9. M. Bornert, F. Brémand, P. Doumalin, J.-C. Dupré, M. Fazzini, M. Grédiac, G. Hild, S. Mistou, J. Molimard, J. J. Orteu, L. Robert, Y. Surrel, P. Vacher and B. Wattrisse, Assessment of digital image correlation measurement errors: Methodology and results, Experimental Mechanics, 49(3) (2009) 353–370.

    Article  Google Scholar 

  10. E. A. Paterson and Z. F. Wang, Towards full field automated photoelastic analysis of complex components, Strain, 27 (1991) 49–56.

    Article  Google Scholar 

  11. A. Lagarde, N. Plouzennec, J. C. Dupré, Determination of isoclinic and isochromatic parameters by photoelastic and numerical analysis. In 3rd Biennal European Join Conference on Engineering Systems Design and Analysis (ESDA), Montpellier, France, 1–4 July (1996).

    Google Scholar 

  12. A. Lagarde, A. Zenina, J. C. Dupré, Separation of isochromatics and isoclinics patterns of a slice optically isolated in a 3d photoelastic medium, European Journal of Mechanics, 18 (1999) 633–640.

    Article  MATH  Google Scholar 

  13. A. Germaneau, F. Peyruseigt, S. Mistou, O. Dalverny, P. Doumalin and J. C. Dupré, Experimental validation of a spherical plain bearing numerical model by scattered light photoelasticity, J. Engineering Tribology (2008) 647–656.

    Google Scholar 

  14. Y. Barranger, Apport des méthodes volumiques dans la confrontation théorie/expérience: application à la rupture fragile et aux contacts conformes, Thèse universitaire, Université de Poitiers, France (2010).

    Google Scholar 

  15. N. Bretagne, V. Valle and J. C. Dupré. Development of marks tracking technique for strain field and volume variation measurements, NDT&E Int, 38 (2005) 290–298.

    Article  Google Scholar 

  16. A. S. Kobayashi, Handbook on Experimental Mechanics, Prentice-Hall, (1987).

    Google Scholar 

  17. P. Doumalin A. Germaneau and J. C. Dupré, 3D photoelasticity and digital volume correlation applied to 3D mechanical studies. In Proc. ICEM 13, Greece (2007).

    Google Scholar 

  18. J. Liu, Y. Shao and T. C. Lim, Vibration analysis of ball bearings with a localized defect applying piecewise response function, Mechanism and Machine Theory, 56 (2012) 156–169.

    Article  Google Scholar 

  19. M. Cheikh, S. Quilici and G. Cailletaud, Presentation of KICOF, a phenomenological model of variable friction in fretting contact, Wear, 119 (2007) 15–19.

    Google Scholar 

  20. J. Besson and R. Foerch, Object-oriented programming applied to the finite element method. part I: General concepts, Revue Européenne des Eléments Finis, 70 (1998) 535–566.

    Google Scholar 

  21. A. B. Jones, A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions, Trans. ASME, 82(1) (1960) 309–320.

    Article  Google Scholar 

  22. N. T. Liao and J. F. Lin, Ball bearing skidding under radial and axial loads, Mechanism and Machine Theory, 37(1) (2002) 91–113.

    Article  MATH  Google Scholar 

  23. L. Mi, G. F. Yin, M. N. Sun and X. H. Wang, Effects of preloads on joints on dynamic stiffness of a whole machine tool structure, Journal of Mechanical Science and Technology, 26(2) (2012) 495–508.

    Article  Google Scholar 

  24. T. Tao X. Mei, M. Tsutsumi and N. Sun, Study on load distribution of ball screws with errors, Mechanism and Machine Theory, 38 (2001) 1257–1269.

    Article  Google Scholar 

  25. Rashad A. Abdel-Baky and Reem A. Al-Ghefari, On the kinematic geometry of relative screw motions. Journal of Mechanical Science and Technology, 26(8) (2012) 2497–2503.

    Article  Google Scholar 

  26. Y. Barranger, R. Bertolaso, P. Doumalin, J. C. Dupré, A. Germaneau, and M. Cheikh. Experimental validation of a numerical simulation on a ball-screw system by 3D photoelasticity, EPJ Web of Conferences6, Poitiers, France (2010) DOI:10.1051/epjconf/20100632003.

    Google Scholar 

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Correspondence to Mohammed Cheikh.

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Recommended by Associate Editor Seong Beom Lee

Mohammed Cheikh received his thesis (Ph.D.) from the University of Bourgogne (France) in 1997. He is currently an assistant professor at the University of Toulouse (IUT Figeac and Ecole des Mines Albi). His research interests are fretting and wear by numerical and experimental approaches.

Arnaud Germaneau received his Ph.D. from the University of Poitiers in 2007. Dr. Germaneau is currently an assistant Professor at the University of Poitiers in the PPRIME Institute. His research interests include experimental mechanics, photomechanics, mechanical analysis of structures and materials, and model validation/identification.

Pascal Doumalin received his thesis (Ph.D.) from Ecole Polytechnique (France) in 1999. He is currently an assistant professor at the University of Poitiers. His research interests concern the study of mechanical behaviour of materials and structures by using non-contact measurement methods.

Jean-Christophe Dupré received his Ph.D. from the University of Poitiers in 1992. Dr. Dupré is CNRS Researcher at the Institute PPRIME in the Team PEM (Photomechanics and Experimental Mechanics), University of Poitiers. His research interests include the development of optical methods, 2D and 3D.

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Bertolaso, R., Cheikh, M., Barranger, Y. et al. Experimental and numerical study of the load distribution in a ball-screw system. J Mech Sci Technol 28, 1411–1420 (2014). https://doi.org/10.1007/s12206-014-0128-0

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  • DOI: https://doi.org/10.1007/s12206-014-0128-0

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