An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method

This work presents a novel and compact method for simultaneously measuring errors in linear displacement and vertical straightness of a moving linear air-bearing stage using 3D sinusoidal-groove linear reflective grating and a novel triangular wave-based sequence signal analysis method. The new sche...

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Main Authors: Hsiu-An Tsai, Yu-Lung Lo
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/19/12/2816
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author Hsiu-An Tsai
Yu-Lung Lo
author_facet Hsiu-An Tsai
Yu-Lung Lo
author_sort Hsiu-An Tsai
collection DOAJ
description This work presents a novel and compact method for simultaneously measuring errors in linear displacement and vertical straightness of a moving linear air-bearing stage using 3D sinusoidal-groove linear reflective grating and a novel triangular wave-based sequence signal analysis method. The new scheme is distinct from the previous studies as it considers two signals to analyze linear displacement and vertical straightness. In addition, the tilt motion of the precision linear stage could also be measured using the 3D sinusoidal-groove linear reflective grating. The proposed system is similar to a linear encoder and can make online measurements of stage errors to analyze automatic processes and also be used for real-time monitoring. The performance of the proposed method and its reliability have been verified by experiments. The experiments show that the maximum error of measured tilt angle, linear displacement, and vertical straightness error is less than 0.058&#176;, 0.239 &#956;m, and 0.188 &#956;m, respectively. The maximum repeatability error on measurement of tilt angle, linear displacement, and vertical straightness error is less than &#177;0.189<sup>o</sup>, &#177;0.093 &#956;m, and &#177;0.016 &#956;m, respectively. The proposed system is suitable for error compensation in the multi-axis system and finds application in most industries.
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spelling doaj.art-052b6d22587c4e70a94ac529736f52fd2022-12-22T04:00:03ZengMDPI AGSensors1424-82202019-06-011912281610.3390/s19122816s19122816An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision MethodHsiu-An Tsai0Yu-Lung Lo1Department of Mechanical Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, Tainan 70101, TaiwanThis work presents a novel and compact method for simultaneously measuring errors in linear displacement and vertical straightness of a moving linear air-bearing stage using 3D sinusoidal-groove linear reflective grating and a novel triangular wave-based sequence signal analysis method. The new scheme is distinct from the previous studies as it considers two signals to analyze linear displacement and vertical straightness. In addition, the tilt motion of the precision linear stage could also be measured using the 3D sinusoidal-groove linear reflective grating. The proposed system is similar to a linear encoder and can make online measurements of stage errors to analyze automatic processes and also be used for real-time monitoring. The performance of the proposed method and its reliability have been verified by experiments. The experiments show that the maximum error of measured tilt angle, linear displacement, and vertical straightness error is less than 0.058&#176;, 0.239 &#956;m, and 0.188 &#956;m, respectively. The maximum repeatability error on measurement of tilt angle, linear displacement, and vertical straightness error is less than &#177;0.189<sup>o</sup>, &#177;0.093 &#956;m, and &#177;0.016 &#956;m, respectively. The proposed system is suitable for error compensation in the multi-axis system and finds application in most industries.https://www.mdpi.com/1424-8220/19/12/2816detectorsmetrological instrumentationoptical measurement
spellingShingle Hsiu-An Tsai
Yu-Lung Lo
An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
Sensors
detectors
metrological instrumentation
optical measurement
title An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
title_full An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
title_fullStr An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
title_full_unstemmed An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
title_short An Approach to Measure Tilt Motion, Straightness and Position of Precision Linear Stage with a 3D Sinusoidal-Groove Linear Reflective Grating and Triangular Wave-Based Subdivision Method
title_sort approach to measure tilt motion straightness and position of precision linear stage with a 3d sinusoidal groove linear reflective grating and triangular wave based subdivision method
topic detectors
metrological instrumentation
optical measurement
url https://www.mdpi.com/1424-8220/19/12/2816
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