Induced Wheel-Based Study on Point Contact Kinematics Modeling for Ultra-Precision Grinding

While point contact kinematics has been recognized as the standard kinematics in ultra-precision grinding of off-axis aspheric optics, its modeLing which is the prerequisite for grinding force, energy and thermal modeLing in this kinematics has not been fully explored. It is by no means an easy task due to the lack of mathematic model for freeform wheel-work piece conformity. This paper presents a mathematic concept defined as induced wheel, based on the relative curvature of wheel and work piece, to quantitatively describe the uneven grinding situation within contact region. The grinding force model in point contact kinematics is deduced based on induced wheel.

[1]  Y. H. Yin,et al.  Intelligent Strategy of Force & Position Parallel Control for a Robot , 1997 .

[2]  Yuehong Yin,et al.  Pipe assembly planning algorithm by imitating human imaginal thinking , 2010 .

[3]  S. Radzevich.  Mathematical modeling of contact of two surfaces in the first order of tangency , 2004 .

[4]  Hui Hu,et al.  Optimal design of micro-force sensor for wire bonding with high acceleration and frequent movement , 2006 .

[5]  Ekkard Brinksmeier,et al.  Ultra-precision grinding , 2010 .

[6]  Yuehong Yin,et al.  Study on virtual force sensing and force display device for the interactive bicycle simulator , 2007 .

[7]  Richard L. Kegg.  Industrial Problems in Grinding , 1983 .

[8]  W. J. Wills-Moren,et al.  The Design and Manufacture of a Large CNC Grinding Machine for Off-Axis Mirror Segments , 1989 .

[9]  T. Banchoff,et al.  Differential Geometry of Curves and Surfaces , 2010 .

[10]  Ekkard Brinksmeier,et al.  Advances in Modeling and Simulation of Grinding Processes , 2006 .

[11]  Hui Hu,et al.  Active tracking of unknown surface using force sensing and control technique for robot , 2004 .

[12]  Yuehong Yin,et al.  A pipe route design methodology by imitating human imaginal thinking , 2010 .

[13]  Stephen Malkin,et al.  CAD/CAM for Geometry and Process Analysis of Helical Groove Machining , 1990 .

[14]  Tsunemoto Kuriyagawa,et al.  A new grinding method for aspheric ceramic mirrors , 1996 .

[15]  Ichiro Inasaki,et al.  Modelling and Simulation of Grinding Processes , 1992 .