Velocity Dependence in the Cyclic Friction Arising with Gears

Recent research on friction in robot joints and transmission systems has considered meshing friction a position-dependent friction component. However, in this paper we show experimental evidence that meshing friction depends highly on joint speed. We identify the meshing friction in the gearboxes of a robotic leg, and we propose a new mathematical model that considers the rate dependency of meshing friction. The resulting model is validated through experimentation. Results show that meshing friction is responsible for friction torque oscillations with an amplitude up to 25 percent of the average friction torque at low speeds. Therefore, this friction component should be taken into account if an accurate friction model is desired.

[1]  Bernard Friedland,et al.  On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[2]  Brian Armstrong-Hélouvry,et al.  Control of machines with friction , 1991, The Kluwer international series in engineering and computer science.

[3]  Stephen M. Phillips,et al.  Friction modeling and compensation for an industrial robot , 1993, J. Field Robotics.

[4]  Wyatt S. Newman,et al.  A load-dependent transmission friction model: theory and experiments , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[5]  P. Dahl.  A Solid Friction Model , 1968 .

[6]  Dean Karnopp,et al.  Computer simulation of stick-slip friction in mechanical dynamic systems , 1985 .

[7]  T-K. Shing.  Dynamics and Control of Geared Servomechanisms with Backlash and Friction Consideration , 1994 .

[8]  Andrew A. Goldenberg,et al.  Modeling of friction using spectral analysis , 1998, IEEE Trans. Robotics Autom..

[9]  Bernard Friedland,et al.  Dynamic Friction Model of Lubricated Surfaces for Precise Motion Control , 1994 .

[10]  Carlos Canudas de Wit,et al.  Adaptive Friction Compensation in Robot Manipulators: Low Velocities , 1991, Int. J. Robotics Res..

[11]  S. H. Loewenthal,et al.  Design of Spur Gears for Improved Efficiency , 1982 .

[12]  A. H. Gill.  FRICTION AND LUBRICATION. , 1905 .

[13]  H. Harry Asada,et al.  Dynamics analysis and control of a holonomic vehicle with a continuously variable transmission , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[14]  Brian Armstrong,et al.  Friction: experimental determination, modeling and compensation , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[15]  C. Canudas de Wit,et al.  Adaptive friction compensation for systems with generalized velocity/position friction dependency , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[16]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[17]  L. Praly,et al.  Adaptive eccentricity compensation , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[18]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[19]  Bernard Friedland,et al.  On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[20]  N. Suh,et al.  The genesis of friction , 1981 .

[21]  Naomi Ehrich Leonard,et al.  Adaptive friction compensation for bi-directional low-velocity position tracking , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[22]  P. Bliman.  Mathematical study of the Dahl's friction model , 1992 .

[23]  Pablo González de Santos,et al.  Relevant friction effects on walking machines , 2001 .