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Simulation tests of the method for determining a CAD model of free-form surface deterministic deviations

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Geometric deviations of free-form surfaces are attributed to many phenomena that occur during machining, both systematic (deterministic) and random in character. Measurements of free-form surfaces are performed with the use of numerically controlled CMMs on the basis of a CAD model, which results in obtaining coordinates of discrete measurement points. The spatial coordinates assigned at each measurement point include both a deterministic component and a random component at different proportions. The deterministic component of deviations is in fact the systematic component of processing errors, which is repetitive in nature. A CAD representation of deterministic geometric deviations might constitute the basis for completing a number of tasks connected with measurement and processing of free-form surfaces. The paper presents the results of testing a methodology of determining CAD models by estimating deterministic geometric deviations. The research was performed on simulated deviations superimposed on the CAD model of a nominal surface. Regression analysis, an iterative procedure, spatial statistics methods, and NURBS modelling were used for establishing the model.
Rocznik
Strony
151--158
Opis fizyczny
Bibliogr. 10 poz., rys., tab., wykr.
Twórcy
autor
  • Bialystok University of Technology, Division of Production Engineering, Wiejska 45C, 15-351 Bialystok, Poland, mponiat@pb.edu.pl
Bibliografia
  • [1] PN-EN ISO 1101: 2006. Geometrical Product Specifications (GPS) - Geometrical tolerancing - Tolerances of form, orientation, location and run-out.
  • [2] Lim, E.M., Menq, C.H. (1995). The prediction of dimensional error for sculptured surface productions using the ball-end milling process - part 2: surface generation model and experimental verification. International Journal of Machine Tools and Manufacture, 35, 1171-1185.
  • [3] Capello, E., Semeraro, Q. (2001). The harmonic fitting method for the assessment of the substitute geometry estimate error. Part I: 2D and 3D theory. International Journal of Machine Tools and Manufacture, 41, 1071-1102
  • [4] Yan, Z., Yang, B., Menq C. (1999). Uncertainty analysis and variation reduction of three dimensional coordinate metrology. Part 1: geometric error decomposition. International Journal of Machine Tools and Manufacture, 39, 1199-1217.
  • [5] Cliff, A.D., Ord, J.K. (1981). Spatial Processes, Models and Applications, Pion Ltd., London.
  • [6] Upton, G.J.G., Fingleton, B. (1985). Spatial Data Analysis by Example. John Wiley & Sons.
  • [7] Kopczewska, K. (2007). Econometrics and Spatial Statistics. CeDeWu, Warsaw. (in Polish)
  • [8] Poniatowska, M., Werner, A. (2010). Fitting spatial models of geometric deviations of free-form surfaces determined in coordinate measurements. Metrology and Measurement Systems, 17(4), 599-610.
  • [9] Piegl, L., Tiller, W. (1997). The NURBS book, 2nd ed., Springer-Verlag, New York.
  • [10] Adamczak, S. (2008). Surface geometric measurements. WNT, Warsaw. (in Polish)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0090-0014
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