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基于最小包容区域的球度误差评定方法
引用本文:黄强先,岳龙龙,郭小倩,程荣俊,梅腱,李红莉,张连生.基于最小包容区域的球度误差评定方法[J].中国机械工程,2020,31(12):1387.
作者姓名:黄强先  岳龙龙  郭小倩  程荣俊  梅腱  李红莉  张连生
作者单位:合肥工业大学仪器科学与光电工程学院,合肥,230009
基金项目:国家自然科学基金资助项目(51475131,51875163); 安徽省自然科学基金资助项目(1908085QE201)
摘    要:针对球度误差评定方法存在原理误差或模型误差,提出了一种符合最小包容区域定义的球度误差评定方法,即将几何搜索逼近算法与基于最小包容区域法的球度误差评定的几何结构和定义结合起来的准确评定方法。对仿真数据和其他文献中的数据进行了评定。所提方法与其他方法的评定结果表明,所提方法可以准确地找到最小包容区域球的球心并给出球度误差的精确解。

关 键 词:球度  最小二乘法  最小包容区域  粒子群优化算法  

A Method for Sphericity Error Evaluation Based on Minimum Coverage Area
HUANG Qiangxian,YUE Longlong,GUO Xiaoqian,CHENG Rongjun,MEI Jian,LI Hongli,ZHANG Liansheng.A Method for Sphericity Error Evaluation Based on Minimum Coverage Area[J].China Mechanical Engineering,2020,31(12):1387.
Authors:HUANG Qiangxian  YUE Longlong  GUO Xiaoqian  CHENG Rongjun  MEI Jian  LI Hongli  ZHANG Liansheng
Affiliation:School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei, 230009
Abstract:Aiming at the principle errors or model errors of sphericity error evaluation methods, a sphericity error evaluation method that mets the definition of minimum coverage area was proposed.This accurate method combined geometric search approximation algorithm with geometric structures and definition of sphericity error evaluation based on minimum coverage area method.Simulation data and data from other documents were evaluated.Evaluation results of the proposed method and other methods show that the proposed method may find the accurate sphere’s center of the minimum coverage area and obtain the exact solution of sphericity error.
Keywords:sphericity  method of least squares  minimum coverage area  particle swarm optimization algorithm  
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