基于fminimax优化函数的圆度误差评定  

Evaluation of Roundness Errors Based on fminimax Optimization Function

作　　者：赵则祥[1] 赵新宇 Zhao Zexiang;Zhao Xinyu

机构地区：[1]中原工学院机电学院,郑州市450007 [2]中原工学院计算机学院

出　　处：《工具技术》2024年第5期129-136,共8页Tool Engineering

基　　金：国家自然科学基金(51975598,51475485)。

摘　　要：依据圆度误差标注代号和附加符号的含义,基于最小外接法、最大内切法和最小区域法分别建立了参考圆的圆心坐标优化目标函数和圆度误差评定模型,采用MATLAB软件编写了参考圆的圆心坐标优化目标函数子程序和圆度误差评定子程序,给出了圆度误差评定中fminimax优化函数调用方法。用Talyrond 585LT圆柱度测量仪对三个试样的圆周轮廓进行了提取,基于最小二乘法、最小外接法、最大内切法和最小区域法对提取的圆周轮廓分别进行了圆度误差评定。研究了优化搜索范围对圆度误差评定结果的影响,并将fminimax优化函数圆度误差评定的优化符合度与其他优化方法圆度误差评定的优化符合度进行了比较。fminimax优化函数的应用结果表明,评定结果精度高于或等于其他优化方法评定结果的精度,可满足圆度误差评定的需要。According to the meanings of the drawing indications of roundness tolerance as well as its additional symbols,the optimization objective functions of the center coordinates of the reference circles and the evaluation models of roundness errors are established based on the minimum circumscribed method,the maximum inscribed method and the minimum zone method,respectively.The subprograms of the optimization objective functions of the center coordinates of the reference circles and the evaluation of roundness errors are developed by using MATLAB language,and the calling method of the fminimax optimization functions in the evaluation of roundness errors is given.The roundness profiles of three cylindrical samples are extracted by using Talyrond 585LT cylindricity measuring instrument,and their roundness errors are evaluated on the basis of the least square method,the minimum circumscribed method,the maximum inscribed method and the minimum zone method.The influence of the optimization searching ranges on the evaluation results of roundness error is studied.The optimization fitness levels of fminimax optimization function in the evaluation of roundness errors are compared with those of the other optimization algorithms.The results showed that the roundness error evaluation results′accuracies of the fminimax optimization function are higher than or equal to those of other optimization algorithms,the optimization fitness level of which can satisfy the evaluation needs of the roundness errors.

关 键 词：圆度误差 最小外接法 最大内切法 最小区域法 fminimax优化函数 

分 类 号：TG702[金属学及工艺—刀具与模具] TH124[机械工程—机械设计及理论]