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A New Method of Track Approaching Based on Sectioned Polynomial for Crankshaft Tangential Point Tracing Grinding

The motion path of grinding carriage about workpiece rotation angle in crankshaft tangential point tracing grinding is a complex curve. For such complicated movement curve, it’s necessary to find a proper path approximation method to meet the high requirement of speed and precision of path interpolation. Sectioned polynomial is effective to approach to complicated path which ensures the approximation precision with low-order polynomial. This paper presents a dynamic sectioned cubic polynomial approximation method based on approximation error which ensures the continuity of the neighboring sectioned cubic polynomial curves at their boundary points to realize the stable tangential point tracing grinding of crankshaft at high speed.