A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array
Freeform surface is one of the research focuses in the measurement field. A composite module is composed of a plane and rotating paraboloid. The composite module array can identify 21 geometric errors of the machine tool in a wide range, which is composed of several composite modules. Eliminating th...
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doaj-36856225dd5449a2a549b40ea1f29ef72020-11-25T03:47:52ZengMDPI AGApplied Sciences2076-34172020-06-01104358435810.3390/app10124358A Noncontact Method for Calibrating the Angle and Position of the Composite Module ArrayXinghua Li0Jue Li1Xuan Wei2Xiaohuan Yang3Zhikun Su4Jiaqi Liang5Zhiming Yang6Fengzhou Fang7State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaFreeform surface is one of the research focuses in the measurement field. A composite module is composed of a plane and rotating paraboloid. The composite module array can identify 21 geometric errors of the machine tool in a wide range, which is composed of several composite modules. Eliminating the error of the array itself is of great significance for improving measurement accuracy. For this reason, this paper proposed a noncontact method for calibrating the angle and position of the composite module array. This paper used a self-developed angle sensor to access corresponding information and established the mathematical model according to the freeform surface’s geometric characteristics to achieve calibration. In addition, the influence of array placement error on calibration was analyzed. The experimental results showed that the angle repeatability was within 0.4 ”around the X-axis and within 0.3” around the Y-axis, and the position repeatability was within 0.4 µm in the X direction and within 0.7 µm in the Y direction. The measurement comparison experiments with high-precision laser interferometer and uncalibrated array verified the correctness of the experimental results. This method provides an important reference for practical application and freeform surface array calibration, and creates conditions for the implementation of machine tool error detection.https://www.mdpi.com/2076-3417/10/12/4358freeform surfacecomposite module arrayangle sensorcalibration method2-D angle2-D position |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xinghua Li Jue Li Xuan Wei Xiaohuan Yang Zhikun Su Jiaqi Liang Zhiming Yang Fengzhou Fang |
spellingShingle |
Xinghua Li Jue Li Xuan Wei Xiaohuan Yang Zhikun Su Jiaqi Liang Zhiming Yang Fengzhou Fang A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array Applied Sciences freeform surface composite module array angle sensor calibration method 2-D angle 2-D position |
author_facet |
Xinghua Li Jue Li Xuan Wei Xiaohuan Yang Zhikun Su Jiaqi Liang Zhiming Yang Fengzhou Fang |
author_sort |
Xinghua Li |
title |
A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array |
title_short |
A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array |
title_full |
A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array |
title_fullStr |
A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array |
title_full_unstemmed |
A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array |
title_sort |
noncontact method for calibrating the angle and position of the composite module array |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2020-06-01 |
description |
Freeform surface is one of the research focuses in the measurement field. A composite module is composed of a plane and rotating paraboloid. The composite module array can identify 21 geometric errors of the machine tool in a wide range, which is composed of several composite modules. Eliminating the error of the array itself is of great significance for improving measurement accuracy. For this reason, this paper proposed a noncontact method for calibrating the angle and position of the composite module array. This paper used a self-developed angle sensor to access corresponding information and established the mathematical model according to the freeform surface’s geometric characteristics to achieve calibration. In addition, the influence of array placement error on calibration was analyzed. The experimental results showed that the angle repeatability was within 0.4 ”around the X-axis and within 0.3” around the Y-axis, and the position repeatability was within 0.4 µm in the X direction and within 0.7 µm in the Y direction. The measurement comparison experiments with high-precision laser interferometer and uncalibrated array verified the correctness of the experimental results. This method provides an important reference for practical application and freeform surface array calibration, and creates conditions for the implementation of machine tool error detection. |
topic |
freeform surface composite module array angle sensor calibration method 2-D angle 2-D position |
url |
https://www.mdpi.com/2076-3417/10/12/4358 |
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