球体切面投影评定深孔轴线直线度误差研究  

Research on the Projection of Tangent Plane of Sphere for the Evaluation of Deep Hole Axis Straightness Error

作　　者：李少敏[1,2] 于大国[1,2] 王继明[1,2] 郝永鹏[1,2] 

机构地区：[1]中北大学机械与动力工程学院,太原030051 [2]山西省深孔加工工程技术研究中心,太原030051

出　　处：《组合机床与自动化加工技术》2015年第5期62-65,共4页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金资助项目(51175482);山西省发明专利转化项目(141004);中北大学科学基金资助项目(2012111)

摘　　要：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。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 assessment deep hole axis straightness errors based on least contain area method and mesh successive approximation; by point set projection,the space straight line evaluation is transformed into solve minimum circumscribed 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 narrowoptimization range; the projection of tangent plane of sphere could provide a reference for determining straightness errors in any direction.

关 键 词：深孔 轴线直线度 网格逐次逼近 投影 球切面 

分 类 号：TH122[机械工程—机械设计及理论] TG65[金属学及工艺—金属切削加工及机床]