An innovative method for coordinate measuring machine one-dimensional self-calibration with simplified experimental process

Cheng Fang, David Lee Butler

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, an innovative method for CMM (Coordinate Measuring Machine) self-calibration is proposed. In contrast to conventional CMM calibration that relies heavily on a high precision reference standard such as a laser interferometer, the proposed calibration method is based on a low-cost artefact which is fabricated with commercially available precision ball bearings. By optimizing the mathematical model and rearranging the data sampling positions, the experimental process and data analysis can be simplified. In mathematical expression, the samples can be minimized by eliminating the redundant equations among those configured by the experimental data array. The section lengths of the artefact are measured at arranged positions, with which an equation set can be configured to determine the measurement errors at the corresponding positions. With the proposed method, the equation set is short of one equation, which can be supplemented by either measuring the total length of the artefact with a higher-precision CMM or calibrating the single point error at the extreme position with a laser interferometer. In this paper, the latter is selected. With spline interpolation, the error compensation curve can be determined. To verify the proposed method, a simple calibration system was set up on a commercial CMM. Experimental results showed that with the error compensation curve uncertainty of the measurement can be reduced to 50%.

LanguageEnglish
Article number055103
Number of pages6
JournalReview of Scientific Instruments
Volume84
Issue number5
DOIs
Publication statusPublished - 31 May 2013
Externally publishedYes

Fingerprint

Coordinate measuring machines
Calibration
Error compensation
Interferometers
artifacts
Ball bearings
Lasers
Measurement errors
Splines
interferometers
Interpolation
data sampling
ball bearings
Mathematical models
Sampling
splines
curves
calibrating
lasers
interpolation

Keywords

  • coordinate measuring machine
  • data sampling
  • laser interferometry

Cite this

@article{ff9255148b5b41b89d720fc97a4b067e,
title = "An innovative method for coordinate measuring machine one-dimensional self-calibration with simplified experimental process",
abstract = "In this paper, an innovative method for CMM (Coordinate Measuring Machine) self-calibration is proposed. In contrast to conventional CMM calibration that relies heavily on a high precision reference standard such as a laser interferometer, the proposed calibration method is based on a low-cost artefact which is fabricated with commercially available precision ball bearings. By optimizing the mathematical model and rearranging the data sampling positions, the experimental process and data analysis can be simplified. In mathematical expression, the samples can be minimized by eliminating the redundant equations among those configured by the experimental data array. The section lengths of the artefact are measured at arranged positions, with which an equation set can be configured to determine the measurement errors at the corresponding positions. With the proposed method, the equation set is short of one equation, which can be supplemented by either measuring the total length of the artefact with a higher-precision CMM or calibrating the single point error at the extreme position with a laser interferometer. In this paper, the latter is selected. With spline interpolation, the error compensation curve can be determined. To verify the proposed method, a simple calibration system was set up on a commercial CMM. Experimental results showed that with the error compensation curve uncertainty of the measurement can be reduced to 50{\%}.",
keywords = "coordinate measuring machine, data sampling, laser interferometry",
author = "Cheng Fang and Butler, {David Lee}",
year = "2013",
month = "5",
day = "31",
doi = "10.1063/1.4801953",
language = "English",
volume = "84",
journal = "Review of Scientific Instruments",
issn = "0034-6748",
number = "5",

}

TY - JOUR

T1 - An innovative method for coordinate measuring machine one-dimensional self-calibration with simplified experimental process

AU - Fang, Cheng

AU - Butler, David Lee

PY - 2013/5/31

Y1 - 2013/5/31

N2 - In this paper, an innovative method for CMM (Coordinate Measuring Machine) self-calibration is proposed. In contrast to conventional CMM calibration that relies heavily on a high precision reference standard such as a laser interferometer, the proposed calibration method is based on a low-cost artefact which is fabricated with commercially available precision ball bearings. By optimizing the mathematical model and rearranging the data sampling positions, the experimental process and data analysis can be simplified. In mathematical expression, the samples can be minimized by eliminating the redundant equations among those configured by the experimental data array. The section lengths of the artefact are measured at arranged positions, with which an equation set can be configured to determine the measurement errors at the corresponding positions. With the proposed method, the equation set is short of one equation, which can be supplemented by either measuring the total length of the artefact with a higher-precision CMM or calibrating the single point error at the extreme position with a laser interferometer. In this paper, the latter is selected. With spline interpolation, the error compensation curve can be determined. To verify the proposed method, a simple calibration system was set up on a commercial CMM. Experimental results showed that with the error compensation curve uncertainty of the measurement can be reduced to 50%.

AB - In this paper, an innovative method for CMM (Coordinate Measuring Machine) self-calibration is proposed. In contrast to conventional CMM calibration that relies heavily on a high precision reference standard such as a laser interferometer, the proposed calibration method is based on a low-cost artefact which is fabricated with commercially available precision ball bearings. By optimizing the mathematical model and rearranging the data sampling positions, the experimental process and data analysis can be simplified. In mathematical expression, the samples can be minimized by eliminating the redundant equations among those configured by the experimental data array. The section lengths of the artefact are measured at arranged positions, with which an equation set can be configured to determine the measurement errors at the corresponding positions. With the proposed method, the equation set is short of one equation, which can be supplemented by either measuring the total length of the artefact with a higher-precision CMM or calibrating the single point error at the extreme position with a laser interferometer. In this paper, the latter is selected. With spline interpolation, the error compensation curve can be determined. To verify the proposed method, a simple calibration system was set up on a commercial CMM. Experimental results showed that with the error compensation curve uncertainty of the measurement can be reduced to 50%.

KW - coordinate measuring machine

KW - data sampling

KW - laser interferometry

UR - http://www.scopus.com/inward/record.url?scp=84878913437&partnerID=8YFLogxK

U2 - 10.1063/1.4801953

DO - 10.1063/1.4801953

M3 - Article

VL - 84

JO - Review of Scientific Instruments

T2 - Review of Scientific Instruments

JF - Review of Scientific Instruments

SN - 0034-6748

IS - 5

M1 - 055103

ER -