CAJ | 학술논문

提出球体切面投影评定深孔轴线直线度误差方案，将球体切面作为搜索路径，建立了以最小包容区域原理为基础，以网格逐次逼近为寻优手段的评定深孔轴线直线度误差的数学模型；利用点集投影将空间直线度评定问题转化为平面内最小外接圆的求解，以球体切面垂线为基础对点集进行坐标变换搜索最优解，通过球体表面网格化逐次缩小寻优范围；球体切面投影评定方案可以为任意方向直线度误差的评定提供参考。
제출구체절면투영평정심공축선직선도오차방안，장구체절면작위수색로경，건립료이최소포용구역원리위기출，이망격축차핍근위심우수단적평정심공축선직선도오차적수학모형；이용점집투영장공간직선도평정문제전화위평면내최소외접원적구해，이구체절면수선위기출대점집진행좌표변환수색최우해，통과구체표면망격화축차축소심우범위；구체절면투영평정방안가이위임의방향직선도오차적평정제공삼고。
A deep hole axis straightness errors assessment is proposed based on projection of tangent plane of sphere principle, tangent plane of sphere as the search path, the establishment of mathematical model of as-sessment deep hole axis straightness errors based on least contain area method and mesh successive approxi-mation;by point set projection, the space straight line evaluation is transformed into solve minimum circum-scribed circle in the plane, by point set coordinate transformation to search for the optimal solution based on the line which perpendicular to the tangent plane of sphere, through sphere surface mesh successive narrow optimization range; the projection of tangent plane of sphere could provide a reference for determining straightness errors in any direction.