Precise Measurement and Visual Expression of Gear Overall Deviation

This paper proposes a non-contact measurement, analysis, and visualization method for the overall deviation of gears based on a laser displacement sensor. We implement error compensation and coordinate transformation on the tooth profile data collected by the laser probe through an algorithm, and fi...

Full description

Bibliographic Details
Main Authors: Jianzhou Pan, Aiping Song, Jiaming Huang, Chuang Yan
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/10/2/158
_version_ 1797478580636090368
author Jianzhou Pan
Aiping Song
Jiaming Huang
Chuang Yan
author_facet Jianzhou Pan
Aiping Song
Jiaming Huang
Chuang Yan
author_sort Jianzhou Pan
collection DOAJ
description This paper proposes a non-contact measurement, analysis, and visualization method for the overall deviation of gears based on a laser displacement sensor. We implement error compensation and coordinate transformation on the tooth profile data collected by the laser probe through an algorithm, and fit all the data points to the gear surface using a 3 × 3 degree spline function. According to the established actual surface model of the gear, the tooth profile curve on any section of the gear and its various deviations can be obtained. To find the overall deviation on the tooth profile surface, the deviation data is refined and fitted into a curved surface by the Newton difference method. The overall deviation can be represented on the gear surface in the form of a color map, and then the color map of the overall deviation of the gear can be obtained. In addition, it can intuitively analyze the distribution of the overall deviation on the gear surface, and realize the visual expression of the deviation. Finally, through experimental verification, we prove that this method can quickly and accurately analyze the various deviations of the gears and the distribution of the deviation, and can effectively improve the detection accuracy and efficiency of the gears.
first_indexed 2024-03-09T21:33:49Z
format Article
id doaj.art-ed5c237182ba49769c58db43f61206cd
institution Directory Open Access Journal
issn 2075-1702
language English
last_indexed 2024-03-09T21:33:49Z
publishDate 2022-02-01
publisher MDPI AG
record_format Article
series Machines
spelling doaj.art-ed5c237182ba49769c58db43f61206cd2023-11-23T20:49:10ZengMDPI AGMachines2075-17022022-02-0110215810.3390/machines10020158Precise Measurement and Visual Expression of Gear Overall DeviationJianzhou Pan0Aiping Song1Jiaming Huang2Chuang Yan3School of Mechanical Engineering, Yangzhou University, Yangzhou 225127, ChinaSchool of Mechanical Engineering, Yangzhou University, Yangzhou 225127, ChinaSchool of Mechanical Engineering, Yangzhou University, Yangzhou 225127, ChinaSchool of Mechanical Engineering, Yangzhou University, Yangzhou 225127, ChinaThis paper proposes a non-contact measurement, analysis, and visualization method for the overall deviation of gears based on a laser displacement sensor. We implement error compensation and coordinate transformation on the tooth profile data collected by the laser probe through an algorithm, and fit all the data points to the gear surface using a 3 × 3 degree spline function. According to the established actual surface model of the gear, the tooth profile curve on any section of the gear and its various deviations can be obtained. To find the overall deviation on the tooth profile surface, the deviation data is refined and fitted into a curved surface by the Newton difference method. The overall deviation can be represented on the gear surface in the form of a color map, and then the color map of the overall deviation of the gear can be obtained. In addition, it can intuitively analyze the distribution of the overall deviation on the gear surface, and realize the visual expression of the deviation. Finally, through experimental verification, we prove that this method can quickly and accurately analyze the various deviations of the gears and the distribution of the deviation, and can effectively improve the detection accuracy and efficiency of the gears.https://www.mdpi.com/2075-1702/10/2/158laser displacement sensornon-contact measurementgear deviationsurface fittingoverall deviationcolor mapping
spellingShingle Jianzhou Pan
Aiping Song
Jiaming Huang
Chuang Yan
Precise Measurement and Visual Expression of Gear Overall Deviation
Machines
laser displacement sensor
non-contact measurement
gear deviation
surface fitting
overall deviation
color mapping
title Precise Measurement and Visual Expression of Gear Overall Deviation
title_full Precise Measurement and Visual Expression of Gear Overall Deviation
title_fullStr Precise Measurement and Visual Expression of Gear Overall Deviation
title_full_unstemmed Precise Measurement and Visual Expression of Gear Overall Deviation
title_short Precise Measurement and Visual Expression of Gear Overall Deviation
title_sort precise measurement and visual expression of gear overall deviation
topic laser displacement sensor
non-contact measurement
gear deviation
surface fitting
overall deviation
color mapping
url https://www.mdpi.com/2075-1702/10/2/158
work_keys_str_mv AT jianzhoupan precisemeasurementandvisualexpressionofgearoveralldeviation
AT aipingsong precisemeasurementandvisualexpressionofgearoveralldeviation
AT jiaminghuang precisemeasurementandvisualexpressionofgearoveralldeviation
AT chuangyan precisemeasurementandvisualexpressionofgearoveralldeviation