Analysis of Measured Friction of Rolling Balls in Raceway Grooves
Atsushi Matsubara*, Atsuko Sayama*, Taku Sakai**,
and Matthias Reuss***
*Department of Micro Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8540, Japan
**Kyoto Works, Mitsubishi Electric, Babazusyo, Nagaokakyo-shi, Kyoto 617-0828, Japan
***ISG Industrielle Steuerungstechnik GmbH, Rosenbergstrasse 28, 70174 Stuttgart, Germany
Friction in linear guideways has an influence on the motion accuracy of machine tool drives. As feedback control has a lag to the friction change in reverse motion, a feedforward compensation is generally used in friction models. However, it is difficult to estimate the friction of rolling balls in raceway grooves because it involves both stick and differential slip characteristics. In this paper, a measurement method is presented using an analytical procedure to clarify micro stick and slip factors in rolling friction. In the measurement test, four balls and two raceway grooves are used to measure the friction force under dry and lubricated conditions. The locomotive bristle model is then applied to identify the stick and slip parameters, which are then compared between the various conditions of lubrication.
and Matthias Reuss, “Analysis of Measured Friction of Rolling Balls in Raceway Grooves,” Int. J. Automation Technol., Vol.8, No.6, pp. 811-819, 2014.
-  THK catalog, “Caged ball LM guide SPR/SPS,” No.362, 2010. (in Japanese)
-  T. Fujita, A. Matsubara, and K. Yamazaki, “Experimental characterization of disturbance force in a linear drive system with highprecision rolling guideways,” Int. J. Mach. Tools Manuf., Vol.51, No.2, pp. 104-111, Feb. 2011.
-  A. Matsubara, K. Nagaoka, and T. Fujita, “Model-reference feedforward controller design for high-accuracy contouring control of machine tool axes,” CIRP Ann. – Manuf. Technol., Vol.60, No.1, pp. 415-418, Jan. 2011.
-  R. Sato, “Generation Mechanism of Quadrant Glitches and Compensation for it in Feed Drive Systems of NC Machine Tools,” Int. J. Autom. Technol., Vol.6, No.2, pp. 154-162, 2011.
-  B. Armstrong-Hélouvry, P. Dupont, and C. C. De Wit, “A survey of models, analysis tools and compensation methods for the control of machines with friction,” Automatica, Vol.30, No.7, pp. 1083-1138, Jul. 1994.
-  S. Futami, A. Furutani, and S. Yoshida, “Nanometer positioning and its micro-dynamics,” Nanotechnology, Vol.1, pp. 31-37, 1990.
-  P. R. Dahl, “A solid friction model,” Technical Report TOR-0158H3107-18I-1, The Aerospace Corporation, El Segundo, CA, 1968.
-  C. Canudas de Wit, H. Olsson, K. J. Astrom, and P. Lischinsky, “A new model for control of systems with friction,” IEEE Trans. Automat. Contr., Vol.40, No.3, pp. 419-425, May 1995.
-  Q. Shi, L. Ouyang, J. She, L. Xu, J. Imani, and Y. Ohyama, “Compensation of Stribeck-Type Nonlinear Friction in Positioning Control Using Equivalent-Input-Disturbance Approach,” J. Adv. Comput. Intell. Intell. Informatics, Vol.18, No.2, pp. 150-156, 2014.
-  T. Tanaka, J. Otsuka, and T. Oiwa, “Precision positioning control by modeling frictional behaviors of linear ball guideway,” Int. J. of Automation Technology, Vol.3, No.3, pp. 334-342, 2009.
-  F. Al-Bender, V. Lampaert, and J. Swevers, “The generalized Maxwell-slip model: a novel model for friction Simulation and compensation,” IEEE Trans. Automat. Contr., Vol.50, No.11, pp. 1883-1887, Nov. 2005.
-  Z. Jamaludin, H. Van Brussel, G. Pipeleers, and J. Swevers, “Accurate motion control of xy high-speed linear drives using friction model feedforward and cutting forces estimation,” CIRP Ann. – Manuf. Technol., Vol.57, No.1, pp. 403-406, Jan. 2008.
-  U. Parlitz, a Hornstein, D. Engster, F. Al-Bender, V. Lampaert, T. Tjahjowidodo, S. D. Fassois, D. Rizos, C. X. Wong, K. Worden, and G. Manson, “Identification of pre-sliding friction dynamics.,” Chaos, Vol.14, No.2, pp. 420-30, Jun. 2004.
-  L. a Hagman and U. Olofsson, “A model for micro-slip between flat surfaces based on deformation of ellipsoidal elastic asperities-parametric study and experimental investigation,” Tribol. Int., Vol.31, No.4, pp. 209-217, Apr. 1998.
-  E. Cigeroglu, N. An, and C.-H. Menq, “A microslip friction model with normal load variation induced by normal motion,” Nonlinear Dyn., Vol.50, No.3, pp. 609-626, Jan. 2007.
-  T. Fujita, A. Matsubara, and S. Yamada, “Analysis of friction in linear motion rolling bearing with locomotive multi-bristle model – Influence of slipping velocity distribution on friction characteristics –,” Trans. Japan Soc. Mech. Eng. Ser. C, Vol.77, No.778, pp. 2468-2495, 2011.
-  K. L. Johnson, “Contact Mechanics,” Cambridge University Press, p. 242, 1987.
-  J. J. Kalker, “Three-dimensional elastic bodies in rolling contact,” Kluwer Academic Publishers, pp. 99-135, 2010.
-  Y. Kimura, M. Sekizawa, and A. Nitanai, “Wear and fatigue in rolling contact,” Wear, Vol.253, No.1-2, pp. 9-16, Jul. 2002.
-  A. Visintin, “Differential models of hysteresis,” Springer-Verlag, p. 47, 1994.
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