Staas & Halsey
Method of controlling machining speed on involute interpolation
 An involute interpolation speed control method controls a machining speed during a numerical control machining process with involute curve interpolation. A radius of curvature is determined from equations of the involute curve (S3), and whether said radius of curvature is smaller than a predetermined value is then determined (S4). The machining speed is reduced with an override value if the radius of curvature is smaller than the predetermined value (S5, S6, S7). In the vicinity of a base circle for the involute curve, since the radius of curvature is small, any well machined surface would not be produced at a given tangential speed. Therefore, the machining speed is reduced with the override value in the vicinity of the base circle. 
Fanuc Ltd.
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additional additional inventional
Masafumi Kunihiko Takao
Sano Murakami Sasaki