基于改进差分进化算法的圆度误差评定  

Roundness error evaluation based on improved differential evolution algorithm

作　　者：董紫燕 徐旭松 李梦园 汤丽媛 DONG Ziyan;XU Xusong;LI Mengyuan;TANG Liyuan(School of Mechanical Engineering,Jiangsu University of Technology,Changzhou 213001,China)

机构地区：[1]江苏理工学院机械工程学院,江苏常州213001

出　　处：《江苏理工学院学报》2023年第2期19-27,共9页Journal of Jiangsu University of Technology

基　　金：江苏高校“青蓝工程”资助。

摘　　要：为了提高圆度误差评定的精度以及准确性,提出将改进的差分进化算法应用到圆度误差评定中。首先,基于新一代GPS公差规范标准,用最小区域法拟合出圆度误差的数学模型;其次,将logistic混沌序列用于种群初始化,引入自适应缩放因子和交叉概率,对差分进化算法进行改进,再用改进后的差分进化算法求解圆度误差数学模型;最后,进行实例研究与分析。研究结果表明:改进的差分进化算法相对于最小二乘法(LSC)、最小区域法(MZC)、最小外接法(MCC)、最大内切法(MIC)以及果蝇优化算法(FOA),其计算精度分别提高了5.8%、2.4%、8.3%、10.0%和1.7%,并且,收敛速度也优于传统差分进化算法。In order to improve the accuracy and accuracy of roundness error evaluation,an improved differential evolution algorithm is proposed to evaluate roundness error.Firstly,based on the new generation GPS tolerance specification standards,the mathematical model of roundness error is fitted by the minimum zone method.Secondly,the logistic chaotic sequence is used for population initialization,and the adaptive scaling factor and crossover probability are introduced to improve the differential evolution algorithm.The improved differential evolution algorithm is used to solve the mathematical model of roundness error.Finally,a case study and analysis is carried out.The results show that compared with the least square method(LSC),the minimum region method(MZC),the minimum circumscribed circle method(MCC),the maximum inscribed circle method(MIC)and the Fruit fly optimization algorithm method(FOA),the calculation accuracy of the improved differential evolution algorithm is increased by 5.8%,2.4%,8.3%,10.0%and 1.7%respectively,and the convergence speed is also better than the traditional differential evolution algorithm.

关 键 词：圆度误差 误差评定 新一代GPS 最小区域法 差分进化算法 

分 类 号：TG80[金属学及工艺—公差测量技术]