Abstract:
An aspherical surface generating method and apparatus which optimizes the path of a moving cutting tool tip to fit a given aspherical surface of revolution to be cut on a rotating work piece engaged by the moving tip. The apparatus is a modified spherical generator, the modifications and control of which adapt it to continuously match the curvature of the path of the moving cutting tool tip to that of the given aspherical surface of revolution by adjusting the dynamic machine center in the direction of the evolute of the curve, i.e. along the locus of the radius of curvature of the given surface at the tool tip.
Abstract:
An aspherical surface generating method and apparatus which optimizes the path of a moving cutting tool tip to fit a given aspherical surface of revolution to be cut on a rotating work piece engaged by the moving tip. The apparatus is a modified spherical generator, the modifications and control of which adapt it to continuously match the curvature of the path of the moving cutting tool tip to that of the given aspherical surface of revolution by adjusting the dynamic machine center in the direction of the evolute of the curve, i.e. along the locus of the radius of curvature of the given surface at the tool tip.