网格逐次逼近评定深孔轴线直线度误差的研究  

Research on Mesh Successive Approximation 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,山西太原030051 [2]山西省深孔加工工程技术研究中心,山西太原030051

出　　处：《机械设计与制造》2015年第8期94-97,101,共5页Machinery Design & Manufacture

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);中北大学科技成果转化资助项目(2015 05)

摘　　要：针对深孔直线度误差评定中难以确定满足最小条件的评定基线的问题,提出利用网格逐次逼近评定深孔直线度误差的方案;以网格逐次逼近为寻优手段在两个半球面内搜索最优解,建立了满足最小条件原则的评定深孔轴线直线度误差的数学模型;将分别处于两个半球面内的节点两两组合放入坐标信息库的一行,每一行坐标信息确定一条评定基线,以一次网格细分后直线度误差值的最小值对应的两点重新构建球面逼近,通过球面的网格细分不断逼近最优解;网格逐次逼近评定深孔直线度误差可以为任意方向直线度误差的评定提供参考。During to evaluating deep hole straightness error, it＇s difficult to determine the evaluation baseline which meets to minimum zone condition, for the status quo proposed mesh successive approximation method assessment deep hole axis straightness errors; mesh successive approximation for optimization means search the optimal solution within two hemispherical surface, establishes assessment deep hole axis straightness error af principle mathematical models to meet the minimum conditions; the combination of any two nodes respectively in the two hemispheres surface coordinate information into the database row, each row coordinates information to determine a baseline, after a mesh subdivision two points is selected which correspondes to the minimum straightness error based on the two points build new spherical, through spherical surface mesh subdivision approximate to the optimal solution; mesh successive approximation could provide a reference for the evaluation af straightness errors in any direction.

关 键 词：深孔 直线度 网格逐次逼近 球面 评定基线 

分 类 号：TH16[机械工程—机械制造及自动化] TG65[金属学及工艺—金属切削加工及机床]