英语翻译The next reference position can be obtained by substitut

英语翻译
The next reference position can be obtained by substituting the determined uk+1 value into Eq.(1),which provides a constant feedrate machining.The real-time interpolating accuracy depends on the machining feedrate,system sampling time,and the part curvature radius.The error between the desired curve and the interpolated trajectory is the contour error,which represents the interpolation accuracy.Fig.6 shows the contour error caused by the interpolating result.The federate error and the contour error analyses will be described in the next section.
The above derivation calculates the trajectory on the part surface,which is the cutter contact (CC) trajectory or path.In 3-D surface machining,ball-end cutters are usually utilised.Therefore,the actual tool path or tool position is an offset of the CC path by a distance equal to the cutter radius with the orientation of the surface normal.Therefore,the tool position can be calculated using,