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A study on the analysis of Friction Force for Ballscrew
|關鍵字:||ball screw;滾珠導螺桿;friction;elastohydrodynamic;MATLAB;摩擦;彈液動潤滑;MATLAB||出版社:||機械工程學系所||引用:|| O. Reynolds, “On Rolling-Friction”, Philosophical Transactions of the Royal Society of London, vol. 166, pp. 155-174, 1876  J. J. Bikerman, “Effect of Surface Roughness on Rolling Friction”, Journal of Applied Physics, vol. 20, pp. 971-975, 1949  H. Hertz, ‘‘Gesammelte Werke,'' vol. I, Leipzig, 1895  O. Reynolds, “On Rolling Friction” Philosophy Transaction Royal Society, 166, pp. 243-247, 1875  H. Poritsky, “Stress and deflections of cylindrical bodies in contact with application to contact of gears and of locomotive wheel“, J. Appl. Mech., vol.72 pp. 191-201, 1950  H. Heathcote, Proc. Inst. Automob. Eng., London, 15, 569, 1921  K. Johnson, “Tangential tractions and micro-slip, Rolling Contact Phenomena”, Elsevier, Amsterdam, pp. 6-28. 1962  H. L. Whittemore, and S. N. Petrenko, “Friction and Carrying Capacity of Ball and Roller Bearings”, Tech. Paper Bur. Stand., No. 201, 1921  D. 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Reynolds. “On the theory of lubrication and its application to Mr. Beauchamp Tower's experiments, including an experimental determination of the viscosity of olive oil”. Phil. Trans. Royal Soc., 177:157-234, 1886  B. Tower, “First Report on Friction Experiments,” Proc. Inst. Of Mechanical Engineering, pp. 632-659, 1883  W.B. Hardy, ”Boundary Lubrication-The Parafin Series”, Proc. R. Soc. London Ser. A, vol.100, pp. 25-39, 1922  E. Trachman, and H. Cheng, “Thermal and non-Newtonian effects on traction in elastohydrodynamic contacts”, Proc. Inst. Mech. Eng., 2nd Symposium on Elastohydrodynamic Lubrication, Leeds, pp. 142-148 , 1972  S. Bair and W. Winer, “A rheological model for elastohydrodynamic contacts based on primary laboratory data”, ASME Trans., J. Lubr. Technol., vol.101(3), pp.258-265, 1979  B. J. Hamrock and D. Dowson, “Isothermal elastohydrodynamic lubrication of point contacts“, ASME J. of Lubrication Tech. vol. 99, 2, pp. 264-276, 1977  T. Harris, “Ball motion in thrust-loaded, angular-contact ball bearings with coulomb friction”, ASME Trans., J. Lubr. Technol., vol. 93, pp. 32-38, 1971  T. A. Harris, M. N. Kotzalas, “Advanced Concepts of Bearing Technology”, CRC Press, 2007  T. Harris, “An analytical method to predict skidding in thrust-loaded angular-contact ball bearings”, ASME Trans., J. Lubr. Technol., vol. 93, pp. 17-24, 1971  C. Walters, “The dynamics of ball bearings”, ASME Trans., J. Lubr. Technol., vol. 93(1), pp. 1-10, 1971  H. Eimer, “Aus dem Gebiet der Walzlagertechnik“,Semesterentwurf, Technische Hochschule, Munchen, 1964  H. Zhao, “Analysis of load distributions within solid and hollow roller bearings”, ASME Trans. J. Tribol., vol. 120, pp. 134-139, 1998  H. Thomas and V. Hoersch, “Stresses due to the pressure of one elastic solid upon another”, Univ. Illinois Bull., 212, July 15, 1930  M. Hartnett, “The analysis of contact stress in rolling element bearings”,ASME Trans. J. Lub. 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A238, pp. 529-550, 1957  “Stribeck Curve” http://www.tribology-abc.com/abc/stribeck.htm  A. Kamalzadeh, “ Precision Control of High Speed Ball Screw Drives“, PhD. Thesis University of Waterloo, Department ofMechanical Engineering, Waterloo, Ontario, Canada, 2008  T. Poschel, T. Schwager and N. V. Brilliantov, , “Rolling Friction of a Hard Cylinder on a Viscous Plane”, Eur. Phys. J. B, vol.10, pp. 169-174. 1999  X. Tan, A. Modafe, R. Ghodssi, “Measurement and Modeling of Dynamic Rolling Friction in Linear Microball Bearings”, Journal of Dynamic Systems, Measurement, and Control, vol. 128, pp. 891-898, 2006  L. Houpert, , “An Engineering Approach to Hertzian Contact Elasticity--Part I,” in Proc. STLE/ASME Tribology Conf., Seattle, 2000, ASME Jour. Of Trib.,vol.123, pp 582-588, 2001  R.S. Zhou, M. R. Hoeprich, “Torque of Tapered Roller Bearings”, Trans. Of ASME, Journal of Tribology, vol.113, pp.590-597, 1991  http://www.hiwin.com/pdf/bs/Lubrication/Ball Screw%20Lubrication.pdf  J.S. Arora, “Introduction to Optimum Design”, McGraw-Hill, New York, 1989  Preload, Minebea Group ]http://www.eminebea.com/content/html/en/engineering/bearings/preload.shtml SKF On-line Calculator, Product tada http://www.skf.com/skf/productcatalogue/jsp/viewers/productTableViewer.jsp? presentationType=3&lang=en&newlink=1&tableName=1_3_1  U. Heisel, G. Koscsak, T. Stehle, “Thermography-based investigation into thermally induced positioning errors of feed drives by example of a ball screw”, Annals of CIRP, vol. 55, No. 1, pp. 423-426, 2006||摘要:||
本研究主要目的，乃在於探討並改善目前有關滾珠導螺桿機構摩擦之模型。這些模型之建立，乃是依據先前應用於預測滾珠軸承與線性滑軌摩擦之模型(分別由Harris以及Tan所發展)。在本研究模擬中所使用之數據，是引用Kamalzadeh的博士論文”Precision Control of High Speed Ball Screw Drives”(高速滾珠導螺桿驅動之精密控制)中之數據，此篇博士論文主要是探討滾珠導螺桿之控制。同時，在該篇博士論文中所量測到之滾珠導螺桿之摩擦特性數據，則被用來作為不同滾珠導螺桿摩擦模型之模擬結果比較。
This study focuses on improvement of current friction models for ball screw mechanism. The models applied were based on models used for prediction of friction in ball bearings - Harris and linear guides - Tan. No experiment was done as a part of this study. The data for simulation were taken from PhD thesis “Precision Control of High Speed Ball Screw Drives” by Kamalzadeh which was aimed to Ball screw control. The ball screw friction characteristic data measured in his thesis was used in this study to compare various ball screw friction models.
Three models were evaluated with the available simulation data using MATLAB. The first was the ball screw friction model by Olaru. A significant miss match between the simulation data and the model results was found.
The second model was based on the model of friction for viscoelastic materials which was successfully used for prediction of friction in linear guides with micro balls. It was found that it is not useful for friction prediction in common size ball screws.
The third model used for simulation was based on friction in ball bearings. The original model used for ball bearings was simplified by several assumptions to increase efficiency. The results of this model were in a good agreement with the experimental data provided in the PhD thesis mentioned above and thus the simplifications proved to be acceptable.
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