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Design, Modelation and Numerical Simulation of a Novel Artefact for Coordinate Measuring Machines Calibration Based on Laser Trilateration

  • Research Article - Mechanical Engineering
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Abstract

There are several methods and corresponding artefacts to assess Coordinate Measuring Machine (CMM) errors. In this paper, we present a novel method based on a designed new artefact that can be seen as a simplification of the hexapod machine, commonly used in several contexts in engineering, to determine the CMM’s global errors. The artefact is constituted by a set of three fixed spheres connected by telescopic links to a moving sphere which is the reference for CMM calibration. By comparison of the coordinates of the center of the moving sphere measured by the artefact system against the correspondent coordinates measured by the CMM, the global errors of the machine are determined. Shifting the moving sphere, the links’ variations are measured by laser interferometry using the laser interferometers installed in the interior of the telescopic links. Applying the equations of trilateration, the coordinates of the moving sphere center are determined. However, it is necessary prior knowledge of the artefact geometry and of the initial links length which should be done by calibrating the artefact. To avoid the difficult and expensive artefact calibration, we develop a method which performs the self-calibration of the artefact, by shifting the moving sphere on the same plane defined by the other three. The self-calibration of the artefact is done solving a nonlinear problem both with and without constraints. Finally, we present some results obtained from extensive simulations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences and Technology, University of Coimbra, Apartado 3008, 3001-454, Coimbra, Portugal

    M. A. Facas Vicente

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  1. M. A. Facas Vicente
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Correspondence to M. A. Facas Vicente.

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Supported by INESC-C—Instituto de Engenharia de Sistemas e Computadores—Coimbra, Rua Antero de Quental, 199, 3000-033 Coimbra, Portugal.

Work carried within the agreement between the Department of Mathematics of the University of Coimbra and IPQ—Instituto Português da Qualidade (Portuguese Institute for Quality).

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Facas Vicente, M.A. Design, Modelation and Numerical Simulation of a Novel Artefact for Coordinate Measuring Machines Calibration Based on Laser Trilateration. Arab J Sci Eng 38, 1519–1528 (2013). https://doi.org/10.1007/s13369-013-0537-x

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  • DOI: https://doi.org/10.1007/s13369-013-0537-x

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