英语翻译(1) A least squares straight line fitting is accomplishe

英语翻译(1) A least squares straight line fitting is accomplished on flank andface over an area preset to a certain distance to the nose tip.Aneligible value for thedistance corresponds to themaximumof thecutting edge rounding expected.In this example a value of200 mm is chosen.If a nonrealistic value is chosen,e.g.0 mm orseveral mm,the error will be compensated within the nextiterative steps.The fitting length should be chosen in such awaythatamacrogeometricalcurvatureofflankandfaceisnotcausingan inappropriate fit and still represents the effective workinggeometry.Thus,the considered length should correspond withthemaximumuncut chipthickness thetool isproposedtobeusedfor.In this case a fitting length of 300 mm is chosen.(2) The least squares fitted straight lines cross in point pc.The angleinscribed by these straight lines is the wedge angle b.Thewedge angle bisector gives as intersection with the cuttingedge profile point pint.(3) Draw a circle that intersects point pint and is tangent to bothstraight fitting lines.The points where the circle touches thefitting lines represent the new upper limit for the least squaresstraight line fitting of flank and face.(4) Steps (2) and (3) are repeated until the distance between thepoints where the straight lines are tangent to the circle and theupper fitting limit of the foregoing step is approximating zero.These points are the limit finally representing the transitionfrom macro to micro geometry.(5) Generate a least squares reference circle using all points withinthe micro geometry limit.The circle does not necessarily needto touch the fitting lines nor is its centre necessarily on thewedge angle bisector.The radius rn of the fitted circlerepresents the radius of the rounded cutting edge.Following this algorithm a circle fitting is achieved that gives aunique solution for the characterisation of a rounded cutting edgeby its radius rn independent from starting values.To characterisethe asymmetry of a rounding further parameters have to be used,e.g.distances between cutting edge profile and an auxiliaryhorizontal straight line left and right to the wedge angle bisector.For an ideal radius of rn = 50 mm,100 evenly distributedmeasurement points over an angular range of ar = 908 and ameasurement uncertainty for one point of U = 0.5 mm,theresulting radius uncertainty is 2% of the diameter,based on anuncertainty range of P = 95% (k = 2).