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 and
face over an area preset to a certain distance to the nose tip.An
eligible value for thedistance corresponds to themaximumof the
cutting edge rounding expected.In this example a value of
200 mm is chosen.If a nonrealistic value is chosen,e.g.0 mm or
several mm,the error will be compensated within the next
iterative steps.The fitting length should be chosen in such away
thatamacrogeometricalcurvatureofflankandfaceisnotcausing
an inappropriate fit and still represents the effective working
geometry.Thus,the considered length should correspond with
themaximumuncut chipthickness thetool isproposedtobeused
for.In this case a fitting length of 300 mm is chosen.
(2) The least squares fitted straight lines cross in point pc.The angle
inscribed by these straight lines is the wedge angle b.The
wedge angle bisector gives as intersection with the cutting
edge profile point pint.
(3) Draw a circle that intersects point pint and is tangent to both
straight fitting lines.The points where the circle touches the
fitting lines represent the new upper limit for the least squares
straight line fitting of flank and face.
(4) Steps (2) and (3) are repeated until the distance between the
points where the straight lines are tangent to the circle and the
upper fitting limit of the foregoing step is approximating zero.
These points are the limit finally representing the transition
from macro to micro geometry.(5) Generate a least squares reference circle using all points within
the micro geometry limit.The circle does not necessarily need
to touch the fitting lines nor is its centre necessarily on the
wedge angle bisector.The radius rn of the fitted circle
represents the radius of the rounded cutting edge.
Following this algorithm a circle fitting is achieved that gives a
unique solution for the characterisation of a rounded cutting edge
by its radius rn independent from starting values.To characterise
the asymmetry of a rounding further parameters have to be used,
e.g.distances between cutting edge profile and an auxiliary
horizontal straight line left and right to the wedge angle bisector.
For an ideal radius of rn = 50 mm,100 evenly distributed
measurement points over an angular range of ar = 908 and a
measurement uncertainty for one point of U = 0.5 mm,the
resulting radius uncertainty is 2% of the diameter,based on an
uncertainty range of P = 95% (k = 2).

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