Mapping by Optimization of the Minimum Volumetric Error in Coordinate Measuring Machines

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The CMM (coordinate measuring machines) are able to perform dimensional inspections in workpieces with complex geometries, in a short time compared to conventional methods, however, errors on volume of CMM harm the performance of measurement. Faced with this, the purpose this investigation is to identify regions in the machine with large and small values of volumetric errors. The mapping of volumetric error is performed by optimization of objective function with SQP method. The objective function is defined by modeling errors of the CMM using a method of the homogeneous transformation, and, by calibration curves of individual errors. The optimization allowed to obtain the smallest value of volumetric error, 1.1796 μm, located near the linear encoder of the y axis. The mapping the volumetric error by optimization allows to know regions with minor harm the performance of measurement, therefore, it's possible to select regions of measurement to obtain reliable results.

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287-291

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October 2015

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.D. Giacomo: Computer aided calibration and hybrid compensation of geometric errors in coordinate measuring machines [Ph. D thesis], Manchester, Institute of Science and Technology, University of Manchester, (1986).

Google Scholar

[2] H. Kunzmann, J. Ni and F. Wäldele: Accuracy Enhancement, editied by J.A. Bosch, Coordinate Measuring and Systems, Marcel Dekker Inc, New York (1995).

Google Scholar

[3] C.K. Lim and M. Burdekin: P. I. Mech. Eng. B-J. Eng. Vol. 216 Part B (2002), p.1083.

Google Scholar

[4] G. Zhang in: Error Compensation of Coordinate Machines, editied by R.J. Hocken, P.H. Pereira, Coordinate Measuring Machines and Systems, CRC Press, New York (2011).

DOI: 10.1201/b11022-15

Google Scholar

[5] C.A.G. Morais: Modelos de sintetização plena e reduzida de erros em máquinas de medir por coordenadas [MSc thesis], São Carlos (SP), University of São Paulo São Carlos School of Engineering (2012).

DOI: 10.11606/d.18.2012.tde-30082012-102246

Google Scholar

[6] B.D. Giacomo, C.A.G. Morais, V.A. Souza and L.C. Neves: Modeling Errors in Coordinate Measuring Machines and Machine Tools using Homogeneous Transformation Matrices (HTM), Adv Mat Res. Vols. 1025-1026 (2014), pp.56-59.

DOI: 10.4028/www.scientific.net/amr.1025-1026.56

Google Scholar

[7] S.S. Rao in: Engineering Optimization: theory and practice, John Wiley & Sons, Hoboken, NJ (2009).

Google Scholar