弧面凸轮侧铣加工刀轨的空间线性回归分析  

Linear Regression Analysis of Arc Surface Cam Side Milling Tool Paths

作　　者：胡东方[1,2] 郭建伟 任小中[1,2] 

机构地区：[1]河南科技大学机电工程学院,洛阳471003 [2]机械装备先进制造河南省协同创新中心,洛阳471003

出　　处：《中国机械工程》2017年第18期2249-2255,共7页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(51575160);河南省教育厅重大科技攻关项目(13A520232);河南科技大学高级别项目培育基金资助项目(2011CX016)

摘　　要：为减小弧面凸轮非等径加工存在的法矢异向误差,根据空间线性回归算法的NURBS直纹面生成原理,寻求加工误差最小的刀轴矢量,进行初步拟合。通过迭代逼近减小初始刀轴矢量误差,将刀轴作为NURBS直纹面母线来重构理论刀轴回归轨迹面。利用最小二乘法进行进一步优化,建立了弧面凸轮侧铣加工刀轨误差优化模型,提出了求解该优化模型的一种实数编码的人工免疫算法。以左旋弧面凸轮进行矢量数值计算和仿真,验证了该算法的有效性。In order to reduce normal vector direction error exists for the arc surface cam unequal diameter machining method,according to the space linear regression algorithm NURBS（non-uniform rational B-Spline）ruled surface generation principles,a method was sought to minimize the machining errors of cutter axis vectors,and preliminary fitted.The initial cutter axis errors were reduced by iterative approximation,the cutter axis was taken as generatrix of NURBS ruled surface to restructure regression trajectory surface theoretical cutter axis.Using the least square method to further optimize,the optimization model of tool path errors for arc surface cam side milling was established,and a real coded artificial immune algorithm was proposed to solve the optimization model.The effectiveness of the proposed algorithm was verified by vector numerical calculations and simulations of the left-hand arc surface cams.

关 键 词：弧面凸轮 非等径侧铣 线性回归 NURBS直纹面 

分 类 号：TH132.47[机械工程—机械制造及自动化]