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CSME 2025/2
Volume 46 No.1 : 33-40
 
Comparison of Metrology-Grade Squareness Error Measurement Methods

Jr-Rung Chen a, Sheng-Hsiang Hung b and Ming-Xian Lin c
aAssociate Professor, Department of Intelligent Automation Engineering, National Chin-Yi University of Technology, Taichung, Taiwan.
bEngineer, Precision Mechanical Metrology Research Laboratory, Center for Measurement Standards, Industrial Technology Research Institute, 321, Sec. 2, Kuang Fu Rd., Hsinchu 30011, Taiwan
cAssociate Professor, Department of Mechanical and Computer-Aided Engineering, Feng Chia University, Taichung, Taiwan.


Abstract: This study compares two metrology-grade
methods for measuring squareness errors in three-axis
machine tools: the Swing Round Method (SRM) and
the Reversal Method (RM). The experiment utilized a
holeplate with standard size transfer functionality as a
geometric error analysis reference, comparing the
measurement results of these two methods. The
experimental results show that the measurement
differences between the two methods remain
consistently within 1 arcsecond, meeting the precision
requirements of machine tools with an accuracy of 20
µm. Additionally, the study examined the consistency
of external calibration and self-calibration RM
measurements for the squareness of the holeplate,
confirming that the holeplate used in the experiment is
sufficiently stable and suitable as a reference object.
The study further found that while external calibration
and SRM can provide high-precision measurements,
they involve higher costs or more complex procedures.
In contrast, the RM method offers greater flexibility,
although it may introduce larger measurement errors.
Future research could explore the application potential
of these methods in ultra-precision machining and
develop hybrid measurement techniques to reduce
measurement uncertainties and further enhance
measurement accuracy efficiently.


Keywords:  Self-calibration, Squareness error, Reversal method, Holeplate.

*Corresponding author; e-mail: 
© 2025  CSME , ISSN 0257-9731 





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