A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors
In this paper, a novel and robust measurement method is proposed for obtaining the geometric errors of rotary tables by using LaserTRACER and the reflectors mounted on the reflector standard fixture. For the machining accuracy, the six-degree-of-freedom (6-DOF) geometric errors of the rotary axes in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/4/2419 |
| _version_ | 1797622550756327424 |
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| author | Chi-Hua Hsu Jr-Rung Chen Fan-Hsi Hsu Yu-Ta Chen |
| author_facet | Chi-Hua Hsu Jr-Rung Chen Fan-Hsi Hsu Yu-Ta Chen |
| author_sort | Chi-Hua Hsu |
| collection | DOAJ |
| description | In this paper, a novel and robust measurement method is proposed for obtaining the geometric errors of rotary tables by using LaserTRACER and the reflectors mounted on the reflector standard fixture. For the machining accuracy, the six-degree-of-freedom (6-DOF) geometric errors of the rotary axes interactively influence the manufacturing quality of the precise workpieces. Therefore, this paper mainly aims to develop a measurement method for identifying the 6-DOF geometric errors of rotary tables without using the external linear axis. Furthermore, the set-up errors of the reflector standard fixture are also considered and identified to reduce the influence of the 6-DOF geometric error measurements. For each rotary table geometric error measurement, the positions of the LaserTRACER as well as the relative distance between the reflectors and the LaserTRACER are measured and obtained for determining the 6-DOF geometric errors of the rotary tables. In addition, the homogeneous transformation matrix (HTM), multilateration method, and least squares method are used for building the mathematical measurement algorithm. Moreover, the experimental verifications are implemented to demonstrate the accuracy of the proposed measurement method. Conclusively, the experiment and simulation verification results clearly delineate that the maximal relative differences in the linear errors and the angular errors of the 6-DOF geometric errors are, at most, 3.25% and 2.30%, respectively. |
| first_indexed | 2024-03-11T09:11:54Z |
| format | Article |
| id | doaj.art-4f35363e056844b2976444d43a4a87c8 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T09:11:54Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-4f35363e056844b2976444d43a4a87c82023-11-16T18:55:29ZengMDPI AGApplied Sciences2076-34172023-02-01134241910.3390/app13042419A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and ReflectorsChi-Hua Hsu0Jr-Rung Chen1Fan-Hsi Hsu2Yu-Ta Chen3Center for Measurement Standards, Industrial Technology Research Institute, Hsinchu 30011, TaiwanCenter for Measurement Standards, Industrial Technology Research Institute, Hsinchu 30011, TaiwanDepartment of Semiconductor and Electro-Optical Technology, Ming-Hsin University of Science and Technology, Hsinchu 30401, TaiwanDepartment of Mechanical Design Engineering, National Formosa University, Yunlin 632301, TaiwanIn this paper, a novel and robust measurement method is proposed for obtaining the geometric errors of rotary tables by using LaserTRACER and the reflectors mounted on the reflector standard fixture. For the machining accuracy, the six-degree-of-freedom (6-DOF) geometric errors of the rotary axes interactively influence the manufacturing quality of the precise workpieces. Therefore, this paper mainly aims to develop a measurement method for identifying the 6-DOF geometric errors of rotary tables without using the external linear axis. Furthermore, the set-up errors of the reflector standard fixture are also considered and identified to reduce the influence of the 6-DOF geometric error measurements. For each rotary table geometric error measurement, the positions of the LaserTRACER as well as the relative distance between the reflectors and the LaserTRACER are measured and obtained for determining the 6-DOF geometric errors of the rotary tables. In addition, the homogeneous transformation matrix (HTM), multilateration method, and least squares method are used for building the mathematical measurement algorithm. Moreover, the experimental verifications are implemented to demonstrate the accuracy of the proposed measurement method. Conclusively, the experiment and simulation verification results clearly delineate that the maximal relative differences in the linear errors and the angular errors of the 6-DOF geometric errors are, at most, 3.25% and 2.30%, respectively.https://www.mdpi.com/2076-3417/13/4/2419rotary tablegeometric errorsmultilateration methodauto-tracking laser interferometer |
| spellingShingle | Chi-Hua Hsu Jr-Rung Chen Fan-Hsi Hsu Yu-Ta Chen A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors Applied Sciences rotary table geometric errors multilateration method auto-tracking laser interferometer |
| title | A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors |
| title_full | A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors |
| title_fullStr | A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors |
| title_full_unstemmed | A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors |
| title_short | A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors |
| title_sort | novel measurement method for determining geometric errors of rotary tables by using lasertracer and reflectors |
| topic | rotary table geometric errors multilateration method auto-tracking laser interferometer |
| url | https://www.mdpi.com/2076-3417/13/4/2419 |
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