关键词: 数学模型, 误差评定, 最大实体要求, 基准, 同轴度

Abstract: 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 assessment,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 application 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.

Key words: mathematical model, error verification, maximum material requirement, datum, coaxiality