A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion

With the rapid development of micro-machining technology, the feature size of object parts becomes smaller whilst the roundness tolerance must be critically verified at sub-micrometers or nanometers. Therefore, establishing a method is critically important for evaluating roundness errors to guarante...

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Main Authors: Jian Mei, Binbin Li, Guohua Hu, Chuanzhi Fang, Sheng Zhang, Juan Zheng, Qian Zhang, Lei Hong, Qiangxian Huang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/16/4/467
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author Jian Mei
Binbin Li
Guohua Hu
Chuanzhi Fang
Sheng Zhang
Juan Zheng
Qian Zhang
Lei Hong
Qiangxian Huang
author_facet Jian Mei
Binbin Li
Guohua Hu
Chuanzhi Fang
Sheng Zhang
Juan Zheng
Qian Zhang
Lei Hong
Qiangxian Huang
author_sort Jian Mei
collection DOAJ
description With the rapid development of micro-machining technology, the feature size of object parts becomes smaller whilst the roundness tolerance must be critically verified at sub-micrometers or nanometers. Therefore, establishing a method is critically important for evaluating roundness errors to guarantee the machining quality. A progressive search method is proposed based on the minimum zone criterion in the Cartesian coordinate system in this paper. The least-square center of the measured points is used as the initial reference center by establishing a search circle model for progressively approaching the minimum zone circle center. To testify to the feasibility and performance of the proposed method, comparison and simulation experiments are implemented. The results demonstrated that the progressive search method is effective, reliable, and can evaluate roundness error accurately and quickly with not more than 0.1 s and 10 times.
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id doaj-art-795084e20b294c63a95b86dfd6d48a84
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issn 2072-666X
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publishDate 2025-04-01
publisher MDPI AG
record_format Article
series Micromachines
spelling doaj-art-795084e20b294c63a95b86dfd6d48a842025-08-20T02:28:27ZengMDPI AGMicromachines2072-666X2025-04-0116446710.3390/mi16040467A Progressive Search Method for Roundness Evaluation Based on Minimum Zone CriterionJian Mei0Binbin Li1Guohua Hu2Chuanzhi Fang3Sheng Zhang4Juan Zheng5Qian Zhang6Lei Hong7Qiangxian Huang8School of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Mechanical Engineering, Anhui Institute of Information Technology, Wuhu 241000, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Advanced Manufacturing Engineering, Hefei University, Hefei 230601, ChinaSchool of Instrument Science and Opto-Electronic Engineering, Hefei University of Technology, Hefei 230009, ChinaWith the rapid development of micro-machining technology, the feature size of object parts becomes smaller whilst the roundness tolerance must be critically verified at sub-micrometers or nanometers. Therefore, establishing a method is critically important for evaluating roundness errors to guarantee the machining quality. A progressive search method is proposed based on the minimum zone criterion in the Cartesian coordinate system in this paper. The least-square center of the measured points is used as the initial reference center by establishing a search circle model for progressively approaching the minimum zone circle center. To testify to the feasibility and performance of the proposed method, comparison and simulation experiments are implemented. The results demonstrated that the progressive search method is effective, reliable, and can evaluate roundness error accurately and quickly with not more than 0.1 s and 10 times.https://www.mdpi.com/2072-666X/16/4/467roundness error evaluationprogressive search methodminimum zone circlesearch circle model
spellingShingle Jian Mei
Binbin Li
Guohua Hu
Chuanzhi Fang
Sheng Zhang
Juan Zheng
Qian Zhang
Lei Hong
Qiangxian Huang
A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
Micromachines
roundness error evaluation
progressive search method
minimum zone circle
search circle model
title A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
title_full A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
title_fullStr A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
title_full_unstemmed A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
title_short A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion
title_sort progressive search method for roundness evaluation based on minimum zone criterion
topic roundness error evaluation
progressive search method
minimum zone circle
search circle model
url https://www.mdpi.com/2072-666X/16/4/467
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