Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool
This paper proposes a system utilizing a Renishaw XL80 positioning error measuring interferometer and sensitivity analysis design to measure six-degree-of-freedom (6 DOF) geometric errors of a machine tool’s linear guide. Each error is characterized by high independence with significantly...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-12-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/19/1/5 |
| _version_ | 1811186034881331200 |
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| author | Chien-Sheng Liu Jia-Jun Lai Yong-Tai Luo |
| author_facet | Chien-Sheng Liu Jia-Jun Lai Yong-Tai Luo |
| author_sort | Chien-Sheng Liu |
| collection | DOAJ |
| description | This paper proposes a system utilizing a Renishaw XL80 positioning error measuring interferometer and sensitivity analysis design to measure six-degree-of-freedom (6 DOF) geometric errors of a machine tool’s linear guide. Each error is characterized by high independence with significantly reduced crosstalk, and error calculations are extremely fast and accurate. Initially, the real light path was simulated using Zemax. Then, Matlab’s skew ray tracing method was used to perform mathematical modeling and ray matching. Each error’s sensitivity to the sensor was then analyzed, and curve fitting was used to simplify and speed up the mathematical model computations. Finally, Solidworks was used to design the set of system modules, bringing the proposed system closer to a product. This system measured actual 6 DOF geometric errors of a machine tool’s linear guide, and a comparison is made with the Renishaw XL-80 interferometer measurements. The resulting pitch, yaw, horizontal straightness, and vertical straightness error deviation ranges are ±0.5 arcsec, ±3.6 arcsec, ±2.1 μm, and ±2.3 μm, respectively. The maximum repeatability deviations for the measured guide’s pitch, yaw, roll, horizontal straightness, vertical straightness, and positioning errors are 0.4 arcsec, 0.2 arcsec, 4.2 arcsec, 1.5 μm, 0.3 μm, and 3 μm, respectively. |
| first_indexed | 2024-04-11T13:39:32Z |
| format | Article |
| id | doaj.art-24806153719f4d709e6619a907212f21 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T13:39:32Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-24806153719f4d709e6619a907212f212022-12-22T04:21:17ZengMDPI AGSensors1424-82202018-12-01191510.3390/s19010005s19010005Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine ToolChien-Sheng Liu0Jia-Jun Lai1Yong-Tai Luo2Department of Mechanical Engineering, National Cheng Kung University, Tainan City 70101, TaiwanDepartment of Mechanical Engineering, National Chung Cheng University, Chiayi County 62102, TaiwanDepartment of Mechanical Engineering, National Chung Cheng University, Chiayi County 62102, TaiwanThis paper proposes a system utilizing a Renishaw XL80 positioning error measuring interferometer and sensitivity analysis design to measure six-degree-of-freedom (6 DOF) geometric errors of a machine tool’s linear guide. Each error is characterized by high independence with significantly reduced crosstalk, and error calculations are extremely fast and accurate. Initially, the real light path was simulated using Zemax. Then, Matlab’s skew ray tracing method was used to perform mathematical modeling and ray matching. Each error’s sensitivity to the sensor was then analyzed, and curve fitting was used to simplify and speed up the mathematical model computations. Finally, Solidworks was used to design the set of system modules, bringing the proposed system closer to a product. This system measured actual 6 DOF geometric errors of a machine tool’s linear guide, and a comparison is made with the Renishaw XL-80 interferometer measurements. The resulting pitch, yaw, horizontal straightness, and vertical straightness error deviation ranges are ±0.5 arcsec, ±3.6 arcsec, ±2.1 μm, and ±2.3 μm, respectively. The maximum repeatability deviations for the measured guide’s pitch, yaw, roll, horizontal straightness, vertical straightness, and positioning errors are 0.4 arcsec, 0.2 arcsec, 4.2 arcsec, 1.5 μm, 0.3 μm, and 3 μm, respectively.https://www.mdpi.com/1424-8220/19/1/5geometric errorsskew-ray tracingmultiple-degree-of-freedom measurementmachine toolpositionstraightnesspitchrollyawcrosstalk |
| spellingShingle | Chien-Sheng Liu Jia-Jun Lai Yong-Tai Luo Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool Sensors geometric errors skew-ray tracing multiple-degree-of-freedom measurement machine tool position straightness pitch roll yaw crosstalk |
| title | Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool |
| title_full | Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool |
| title_fullStr | Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool |
| title_full_unstemmed | Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool |
| title_short | Design of a Measurement System for Six-Degree-of-Freedom Geometric Errors of a Linear Guide of a Machine Tool |
| title_sort | design of a measurement system for six degree of freedom geometric errors of a linear guide of a machine tool |
| topic | geometric errors skew-ray tracing multiple-degree-of-freedom measurement machine tool position straightness pitch roll yaw crosstalk |
| url | https://www.mdpi.com/1424-8220/19/1/5 |
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