Generating method for the chip-producing machining of involute tooth flanks with profile and longitudinal corrections

A generating method for the chip-producing machining of involute-shaped tooth flanks using a machine tool containing one or two tools in a 15.degree./20.degree. configuration each constructed as a dished, cone or double-cone shaped tool, said method comprising the steps of:

• moving each said tool to-and-fro in a stroke-like fashion along the tooth flanks in an engagement field defined at the related tooth while feeding each said tool in the direction of the tooth flanks so as to act upon a respective tooth flank at one or two work positions;
• predetermining the displacement of each said tool for generating profile and longitudinal corrections for each work position (S.sub.a and S.sub.i, coordinates g.sub.a, h.sub.a, g.sub.i, h.sub.i) in said engagement field;
• and
• controlling the displacement of each said tool for generating the profile and longitudinal corrections at each said work position as a function of the generating position and the stroke position of each said tool according to the following equations:
• S.sub.a :g.sub.a =Q.sub.4 .multidot.sin .beta..sub.b -g*
• h.sub.a =h*+Q.sub.4 .multidot.cos .beta..sub.b
• S.sub.i :g.sub.i =g*+Q.sub.3 .multidot.sin .beta..sub.b
• h.sub.i =h*-Q.sub.3 .multidot.cos .beta..sub.b
• wherein:
• ##EQU6## H=tool stroke L.sub.n =half tooth gap width
• Q.sub.3 =partial spacing at the grinding chord from the orientation point P to the inner intersection point P.sub.i of the grinding wheel edge
• Q.sub.4 =partial spacing at the grinding chord from the orientation point P to the outer intersection point P.sub.a of the grinding wheel edge
• R.sub.S =radius of the circular-shaped tool edge
• W =generating path
• h.sub.aos =tooth addendum height of the tool
• y=spacing of the orientation point P from the reference line N'N" at the tool gear rack flank
• .alpha.=angle of attack
• .beta.=tooth helix angle
• .beta..sub.b =base helix angle
• .beta.=angle between flank contact line and base line