This note deals with noncircular machining of workpieces with sharp corners. Tool positioning for directly tracking a profile with sharp corners requires large actuator inputs at the sharp corners, which may easily go beyond the actuator saturation limit and cause serious dimensional errors. To solve this problem, a method for generating the nonsmooth profiles from multiple smooth profiles, which are followed by the tool, is given. This method utilizes the following nature of turning operations: the cutting tool practically passes one point in the axial direction of a workpiece several times and the machined shape is attained when the depth of cut is maximum.

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