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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-02-01
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| Series: | Machines |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1702/10/2/158 |
| _version_ | 1827654189211189248 |
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| 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 |
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