Simultaneous Constant Velocity Measurement of the Motion Errors of Linear Axes
Jonathan Miller*, Simon Fletcher**,, Andrew Longstaff**, and Simon Parkinson**
*Machine Tool Technologies Ltd.
1H Ribble Court, 1 Meadway, Shuttleworth Mead Business Park, Padiham BB12 7NG, United Kingdom
**Centre for Precision Technologies (CPT), University of Huddersfield, Huddersfield, United Kingdom
The current standard for machine tool calibration supports the use of quasi-static measurement techniques. When measuring the six degrees of freedom motion errors, the measurements are typically taken consecutively. This introduces uncertainty when comparing the results due to machine deformation during individual measurements. Furthermore, quasi-static measurement techniques are known to be time consuming, a problem that is exacerbated as each degree of freedom must be measured separately. Additionally, the spatial resolution between the selected target positions can have an impact on calibration quality. In the following paper, the benefits of measuring the six motion errors simultaneously while the axis under test is traversing at a nominally constant velocity are presented. Firstly, the motivation for simultaneous continuous capture is presented. Secondly, continuous motion measurements are compared with quasi-static measurements for the six degrees of freedom motion errors showing sub-micrometer and sub-arcsecond correlation. The full effect of a ball screw pitch error is shown which can be missed using traditional quasi-static measurement techniques. Finally, wavelet analysis is performed for further spatial diagnostics along with correlation coefficients calculated to quantify the linear dependency between the six error motions.
-  T. Treib and E. Matthias, “Error Budgeting – Applied to the Calculation and Optimization of the Volumetric Error Field of Multiaxis Systems,” CIRP Annals, Vol.36, No.1, pp. 365-368, 1987.
-  ISO 230-2, “Test code for machine tools – Part 2: Determination of accuracy and repeatability of positioning of numerically controlled axes,” BSI, 2014.
-  J. Miller, A. Longstaff, S. Parkinson, and S. Fletcher, “Improved machine tool linear axis calibration through continuous motion data capture,” Precision Engineering, Vol.47, pp. 249-260, 2017.
-  S. Ibaraki and Y. Ota, “Error Calibration for Five-Axis Machine Tools by On-the-Machine Measurement Using a Touch-Trigger Probe,” Int. J. Automation Technol., Vol.8, No.1, pp. 20-27, 2014.
-  H. J. Pahk, Y. S. Kim, and J. H. Moon, “A new technique for volumetric error assessment of CNC machine tools incorporating ball bar measurement and 3D volumetric error model,” Int. J. of Machine Tools and Manufacture, Vol.37, No.11, pp. 1583-1596, 1997.
-  G. Zhang, R. Ouyang, B. Lu, R. Hocken, R. Veale, and A. Donmez, “A displacement method for machine geometry calibration,” CIRP Annals, Vol.37, No.1, pp. 515-518, 1988.
-  G. Chen, J. Yuan, and J. Ni, “A displacement measurement approach for machine geometric error assessment,” Int. J. of Machine Tools and Manufacture, Vol.41, No.1, pp. 149-161, 2001.
-  P. L. Teoh, B. Shirinzadeh, C. W. Foong, and G. Alici, “The measurement uncertainties in the laser interferometry-based sensing and tracking technique,” Measurement, Vol.32, No.2, pp. 135-150, 2002.
-  H. Schwenke, M. Franke, J. Hannaford, and H. Kunzmann, “Error Mapping of CMMs and Machine Tools by a Single Tracking Interferometer,” CIRP Annals, Vol.54, No.1, pp. 475-478, 2005.
-  S. R. Postlethwaite, D. G. Ford, and D. Morton, “Dynamic calibration of CNC machine tools,” Int. J. of Machine Tools and Manufacture, Vol.37, No.3, pp. 287-294, 1997.
-  H. F. F. Castro and M. Burdekin, “Dynamic calibration of the positioning accuracy of machine tools and coordinate measuring machines using a laser interferometer,” Int. J. of Machine Tools and Manufacture, Vol.43, No.9, pp. 947-954, 2003.
-  H. Schwenke, R. Schmitt, P. Jatzkowski, and C. Warmann, “On-the-fly calibration of linear and rotary axes of machine tools and CMMS using a tracking interferometer,” CIRP Annals, Vol.58, No.1, pp. 477-480, 2009.
-  Automated Precision Inc., “XD Laser.” https://apisensor.com/products/mth/xd-laser/ [Accessed April 13, 2020]
-  Renishaw plc, “Rotation detection apparatus,” CN105637326A, 2016-06-01. https://data.epo.org/gpi/EP3028011B1-ROTATION-DETECTION-APPARATUS [Accessed April 13, 2020]
-  ISO 230-4, “Test code for machine tools – Part 4: Circular tests for numerically controlled machine tools,” BSI Standards Publication, 2005.
-  S. Parkinson, A. P. Longstaff, S. Fletcher, A. Crampton, and P. Gregory, “Automatic planning for machine tool calibration: A case study,” Expert Systems with Applications, Vol.39, No.13, pp. 11367-11377, 2012.
-  A. Shagluf, A. P. Longstaff, S. Fletcher, and P. Denton, “Towards a downtime cost function to optimise machine tool calibration schedules,” Proc. of the Int. Conf. on Advanced Manufacturing Engineering and Technologies (NEWTECH), Vol.2, pp. 231-240, Stockholm, Sweden, October 27-30, 2013.
-  B. Bringmann and W. Knapp, “Machine tool calibration: Geometric test uncertainty depends on machine tool performance,” Precision Engineering, Vol.33, No.4, pp. 524-529, 2009.
-  P. ISO/TR 230-9, “Test code for machine tools – Estimation of measurement uncertainty for machine tool tests according to series ISO 230, basic equations,” BSI Standards Publication, 2005.
-  S. Parkinson and A. P. Longstaff, “Multi-objective optimisation of machine tool error mapping using automated planning,” Expert Systems with Applications, Vol.42, No.6, pp. 3005-3015, 2015.
-  M. Weck, P. McKeown, R. Bonse, U. Herbst et al., “Reduction and compensation of thermal errors in machine tools,” CIRP Annals, Vol.44, No.2, pp. 589-598, 1995.
-  R. Ramesh, M. A. Mannan, and A. N. Poo, “Error compensation in machine tools – a review: Part II: thermal errors,” Int. J. of Machine Tools and Manufacture, Vol.40, No.9, pp. 1257-1284, 2000.
-  C. Brecher, M. Fey, and M. Wennemer, “Volumetric thermo-elastic machine tool behavior,” Production Engineering, Vol.9, No.1, pp. 119-124, 2015.
-  Renishaw “XM-60 and XM-600 multi-axis calibrator performance specification.” https://www.renishaw.com/en/xm-60-and-xm-600-multi-axis-calibrator-performance-specification–39927 [Accessed February 18, 2020]
-  R. Maheswaran and R. Khosa, “Comparative study of different wavelets for hydrologic forecasting,” Computers & Geosciences, Vol.46, pp. 284-295, 2012.
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