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Determining the uncertainty of the object coordinate system position coordinate measurements of free-form surfaces

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Języki publikacji
EN
Abstrakty
EN
Coordinate measurements are a source of digital data in the form of coordinates of measurement points with a discrete distribution on the measured surface. Geometric deviations of free-form surfaces are determined at each point as nor- mal deviations of these points from the nominal surface (a CAD model). The calculations are preceded by fitting the measurement data to the CAD model. The relations between the object coordinate system and the coordinate system of the machine are described by the transformation parameters. This paper presents the idea of the process of data fitting with the use of the least square algorithm method as well as the way of determining the uncertainty on the assumption that transformation para- meters are subject to a multivariate normal probability distribution. The theoretical issues were verified by experiments carried out on a free-form surface obtained in the milling process and characterised by random geometric deviations.
Słowa kluczowe
Rocznik
Strony
56--61
Opis fizyczny
Bibliogr. 9 poz., Wykr.
Twórcy
Bibliografia
  • 1. Dhanish P. B., Mathew J. (2006), Effects of CMM point coordinate uncertainty on uncertainties in determination of circular features, Measurement, Vol. 39, 522-531.
  • 2. Feng C. H. J., Saal A. L., Salsbury J. G., Ness A. R., Lin G. C. S. (2007), Design and analysis of experiments in CMM measurement uncertainty study, Precision Engineering, Vol. 31, 94-101.
  • 3. Kiciak P. (2000), The basis of modelling the curves and the surfaces, WNT, Warsaw (in Polish).
  • 4. Kotulski, Z., Szczepiński W. (2004), Error Analysis with Applications In Engineering, WNT, Warsaw (in Polish).
  • 5. Rajamohan G., Shunmugam M. S., Samuel G. L. (2007), Sampling strategies for verification of freeform profiles using coordinate measuring machines, 9th International Symposium on Measurement and Quality Control, Madras, India, 135-140.
  • 6. Ratajczyk E. (2005), Coordinate Measurement Technique. OWPW, Warsaw (in Polish).
  • 7. Werner A., Poniatowska M. (2006), Determining errors in complex surfaces machining with the use of CNC machine tools, Archives  of  Mechanical  Technology  and  Automation, Vol. 26, No. 2, 211-217.
  • 8. Yau H. T. (1998), Uncertainty analysis in geometric best fit, Int. J. Mach. Tools Manuf, Vol. 38, 1323-1342.
  • 9. Yau H. T., Menq C. H. (1996), A unified least-square approach to the evaluation of geometric errors using discrete measurement data, Int. J. Mach. Tools Manuf, Vol. 36, No. 11, 1269-1290.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0038-0029
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