Staas & Halsey
Involute interpolation speed control system
 An involute interpolation speed control system for effecting an involute interpolation to which cutter compensation is applied when machining by a numerical control apparatus and the like, comprises a method of outputting commands for a direction in which a first involute curve as an actual machining configuration is rotated, the coordinates of the end point of the first involute curve, the position of the center of a basic circle viewed from a start point of the first involute curve, the radius of the basic circle, a feed speed, a direction in which a cutter is offset, and the radius of the cutter. The offset vector of the cutter is created based on the commands. The calculating the equation of a second involute curve connecting the start point and the end point after the offset vector has been created, is calculated. The radius of curvature of the second involute curve at the center of the cutter is determined. Also, a feed speed override value based on the direction in which the cutter is offset, the offset amount, and the radius of curvature are determined. The second involute curve based on the value obtained by multiplying the feed speed override value by the feed speed is interpolated. Thus, an interpolation is executed such that the cutting speed in a tangential direction of the outer circumference of the cutter by which an actual machining configuration is created is kept at a constant value. 
Fanuc Ltd.
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additional additional inventional additional
Masafumi Takao Kunihiko
Sano Sasaki Murakami