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.