联合三坐标测量仪与影像测量仪对斜平面通孔半径、轴向向量等参数的测量

Measurement of Parameters such as Through Hole Radius and Axial Vector in Inclined Planes Using a Combination of Coordinate Measuring Instruments and Image Measuring Instruments

对于斜面上的孔,尤其是对细孔、斜孔进行形状参数及位置参数的测量,单独使用普通三坐标测量仪或精密影像式测绘仪,由于测量设备的自身特点,均具有较大的局限性。在结合三坐标测量仪能够对斜平面的空间坐标精密测量与影像测量仪能够对水平面上的轮廓坐标精密测绘的基础上,利用通孔的同轴性、孔的轴向方向向量与不同加工面的夹角具有对应关系,斜平面水平放置时测量的相对点坐标,等价于测量的轮廓相对坐标是在斜平面上建立坐标系测量的值,以及斜面上建立的坐标系可以与世界坐标系通过线性变换进行对应等关系。通过对测量点坐标进行位置变换,计算并校正孔在不同平面和不同坐标系下测量的椭圆长、短半轴的长度,确定孔中心轴线与不同平面的夹角大小,从而计算出斜面椭圆的旋转角度,进而确定孔的直径、轴向向量等参数。

For the measurement of shape and position parameters of holes on inclined planes,especially for fine and inclined holes,using a common coordinate measuring instrument or a precision imaging surveying instrument alone has significant limitations due to the characteristics of the measuring equipment.Three coordinate measuring instruments can accurately measure the spatial coordinates of oblique planes,while image measuring instruments can accurately measure the contour coordinates on horizontal planes.Based on this,using some corresponding relationships such as the corresponding relationship between the coaxiality of the through-hole,the axial direction vector of the hole,and the angle between different machining surfaces;the relative point coordinates measured when the inclined plane is horizontally placed are equivalent to the measured contour relative coordinates,which are the values measured by establishing a coordinate system on the inclined plane;the coordinate system established on the inclined plane can correspond to the world coordinate system through linear transformation.By transforming the position of the coordinates of the measuring point,calculating and correcting the length of the ellipse length and semi-axis measured in different planes and coordinate systems,the angle between the central axis of the hole and different planes is determined,so as to calculate the rotation angle of the beveled ellipse,and then determine the diameter,axial vector and other parameters of the hole.