基于双重最大实体要求的同轴度误差评定方法  

Error verification for coaxiality based on dual Maximum Material Requirement

作　　者：黄美发[1] 唐哲敏 孙永厚[1] 彭治国[1] 鲍家定[1] 

机构地区：[1]桂林电子科技大学机电工程学院,广西桂林541004

出　　处：《计算机集成制造系统》2018年第2期371-380,共10页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(51365009);广西制造系统与先进制造技术重点实验室资助项目(16-380-12-002Z);广西研究生教育创新计划资助项目(YCBZ2017049)~~

摘　　要：为了研究M-M同轴度误差的数学评定方法,根据M-M同轴度误差的工程语义分析真实量规的几何特性,建立了基于边界的虚拟量规数学模型。通过分析真实量规在合格性评定中的使用过程,基于建立的虚拟量规和刚体运动学,以有约束目标优化问题的形式建立了M-M同轴度误差的评定数学模型,并给出了求解方法。最后给出了该方法在阶梯轴M-M同轴度误差评定中的应用实例,结果说明所提方法能够实现M-M同轴度误差的数学评定,而且比现有方法更准确。To research the mathematical verification for M-M coaxiality, the geometric characteristic of real gauge were analyzed according to the engineering semantics of M-M coaxiality, and the mathematical model of virtual gauge based on boundary was established. Through analyzing the used process of real gauge in conformity assess- ment, a mathematical model of M-M concentricity error was established in the form of constrained optimization problem based on established virtual gauge and rigid body kinematics, and the solution method was given. An appli- cation of the proposed method in the evaluation of M-M coaxiality error of staircase was carried out, and the results showed that the proposed method could realize the mathematical evaluation of M-M Coaxiality error, which was more accurate than the existing methods.

关 键 词：数学模型 误差评定 最大实体要求 基准 同轴度 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]