(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).
面对区的一定距离预设牵着鼻子走的小费。一个
合格的价值相当于themaximumof thedistance的
切削刃的四舍五入的预期。在这个例子里的价值
200毫米被选中。如果一个nonrealistic价值被选中,例句。0毫米或
几毫米,误差赔偿将在未来
迭代步骤。拟合长度应选择在这样的离开
thatamacrogeometricalcurvatureofflankandfaceisnotcausing
不恰当的健康,还代表着有效的工作
几何学。因此,考虑长度须与
themaximumuncut chipthickness thetool isproposedtobeused
对。在此情况下的拟合300毫米的长度被选中。
(2)的最小二乘拟合直线十字,点的电脑。角度
由这些直线是刻有楔形角b。这
楔角的平分线给作为路口进行切割
边缘轮廓点品脱的啤酒。
(3)画一个圆相交点,两品脱和相切
直线拟合直线。在圆圈的触点
拟合直线代表了新的上限为最小二乘法
直线拟合的侧面和脸。
(4)步骤(2)和(3)是重复,直到之间的距离
哪里是点的直线和圆切线方向
上部配件限制前述步骤是趋近于零。
这些分数是极限最终代表的过渡
从宏观到微观几何形状。(5)产生一个最小二乘参考圆内使用所有要点
微观几何限制。圆圈,不一定需要
以接触拟合直线也必然是其中心的
楔角平分线。安装半径的圆rn代码
代表半径的圆切割边。
证明该算法取得了一个圆拟合出
独特的解决方案是圆的特征性的先锋
通过它的半径的rn代码独立于初始值。对那些
这
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