Simulative investigation of point diffraction interferometry with regard to machine tool calibration

One major effect that can deteriorate the geometric accuracy of a calibrated machine tool is the elastic deformation of its structure due to heat transferred into it. Different solutions to this problem have been presented in the past—e.g. temperature-controlled structural parts and environments—but they are complex and expensive. In an on-going Collaborative Research Centre funded by the German Research Foundation scientists are working on model-based compensation and correction strategies. In this paper, a different approach is discussed using point diffraction interferometry to directly measure the three-dimensional distance between tool centre point and workpiece coordinate system. Commercially available three-dimensional measurement systems are introduced representing the state of the art before explaining the basics of point diffraction interferometry. Different parameters are investigated using simulation tools and the achievable accuracy of the approach is evaluated. Additionally, some suggestions are made concerning hardware requirements of a planned demonstrator.

[1]  K. P. Birch,et al.  LETTER TO THE EDITOR: Correction to the Updated Edln Equation for the Refractive Index of Air , 1994 .

[2]  Paul G. Maropoulos,et al.  Verification of the indoor GPS system, by comparison with calibrated coordinates and by angular reference , 2012, J. Intell. Manuf..

[3]  Christian Brecher,et al.  Compensation of Thermo-elastic Machine Tool Deformation Based on Control internal Data , 2004 .

[4]  J. Bruning Fringe Scanning Interferometers , 1978 .

[5]  R. C. Weast CRC Handbook of Chemistry and Physics , 1973 .

[6]  D. Malacara Optical Shop Testing , 1978 .

[7]  James B. Bryan,et al.  International Status of Thermal Error Research (1990) , 1990 .

[8]  Fiorenzo Franceschini,et al.  Experimental comparison of dynamic tracking performance of iGPS and laser tracker , 2011 .

[9]  Hyug-Gyo Rhee,et al.  Absolute distance measurement by two-point-diffraction interferometry. , 2002, Applied optics.

[10]  R. Fletcher Practical Methods of Optimization , 1988 .

[11]  Seung-Woo Kim,et al.  New Design of Precision CMM based upon Volumetric Phase-Measuring Interferometry , 2001 .

[12]  Salah Karout,et al.  Two-dimensional phase unwrapping , 2007 .

[13]  Knut Großmann Thermo-Energetische Gestaltung von Werkzeugmaschinen , 2012 .

[14]  Robert Schmitt,et al.  Geometric error measurement and compensation of machines : an update , 2008 .

[15]  B. Edĺen The Refractive Index of Air , 1966 .

[16]  Hyug-Gyo Rhee,et al.  Absolute three-dimensional coordinate measurement by the two-point diffraction interferometry. , 2007, Optics express.

[17]  Robert Schmitt,et al.  Performance evaluation of iGPS for industrial applications , 2010, 2010 International Conference on Indoor Positioning and Indoor Navigation.

[18]  Steffen Kinkel,et al.  Technologietrends in der Produktion: Praxis der Anlagenmodernisierung in der deutschen Metall- und Elektroindustrie , 2006 .

[19]  Robert C. Weast,et al.  Handbook of chemistry and physics : a readyreference book of chemical and physical data , 1972 .