Abstract

VALENCIA, Juan Camilo  and  BEDOYA, Álvaro Hernán. EXPLICIT PARALLEL CURVES OF NON-DEGENERATE CONIC CURVES FOR THE TURNED CNC OF ASPHERIC-CONIC LENSES AND MIRORS. Rev.EIA.Esc.Ing.Antioq [online]. 2008, n.10, pp.31-43. ISSN 1794-1237.

This paper presents the method to obtain, in Cartesian coordinates, the parallel curve lines of non-degenerate conical curves, by analytical and numerical methods. Offset is defined as parallel function to the original function to a distance r. Offset of a conic is important for the manufacturing processes of mechanisms, lenses, mirrors, and molds; especially in the turning with computerized numerical control (CNC) of surfaces of revolution with conical sections, using diamond tools of radio r. Also a refined tip technique using segmental circular interpolation to numerically construct the parabola offset is presented, that also can be used as model to determine offsets of ellipse and hyperbola.

Keywords : CNC; ellipse; hyperbola; lens; offset; parabola.

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