球体切面投影评定深孔轴线直线度误差研究∗

摘要

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.%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。