Quantitative comparison of cylindricity profiles measured with different methods using Legendre-Fourier coefficients

• Autorzy: Adamczak S. , Janecki D. , Makieła W. , Stępień K.
• Języki publikacji: EN

Abstrakty

EN

The paper discusses a method of quantitative comparison of cylindricity profiles measured with different strategies. The method is based on applying so-called Legendre-Fourier coefficients. The comparison is carried out by computing the correlation coefficient between the profiles. It is conducted by applying a normalized cross-correlation function and it requires approximation of cylindrical surfaces using the Legendre-Fourier method. As the example two sets of measurement data are employed: the first from the CMM and the second one from the traditional radial measuring instrument. The measuring data are compared by analyzing the values of selected cylindricity parameters and calculating the coefficient of correlation between profiles.

Słowa kluczowe

EN

cylindricity; form deviation; measurement; Legendre polynomials; Fourier series

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2010
• Tom: Vol. 17, nr 3
• Strony: 397--403
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Adamczak S.

autor

Janecki D.

autor

Makieła W.

autor

Stępień K.

• Kielce University of Technology, Faculty of Mechatronics and Machinery Design, Al. 1000-lecia P.P. 7, 25-314 Kielce, Poland,

Bibliografia

• [1] K.D. Summerhays: “Optimising discrete point sample patterns and measurement data analysis on internal cylindrical surfaces with systematic form errors”. Precision Engineering, vol. 26, 2002, pp. 105-121.
• [2] S. Żebrowska-Łucyk: “Digital methods of measurements of cylindricity deviation. Mathematical model, software, research results”. Proceedings of the conference Metrologia Wspomagana Komputerowo, Zegrze, vol. 2/B, 1993, pp. 269. (in Polish)
• [3] E. Ratajczyk: “Advances in development of metrological instrumentation applied in industrial quality control systems”. Scientific books of the Kielce University of Technology, Mechanics, Kielce, vol. 60, 1996, pp. 287-300. (in Polish)
• [4] ISO/DIS 12180-1, 2: 1999, Geometrical Product Specifications (GPS) - Cylindricity.
• [5] D. Janecki, K. Stępień: “Applying the normalised cross-correlation function to the comparison of cylindricity profiles”. Metrol. Meas. Syst., vol. XI, no. 3, 2004, pp. 209-220.
• [6] S. Adamczak, D. Janecki, K. Stępień: “Application of the cross-correlation function in comparison of roundness profiles”. Proceedings of the International Scientific Conference, OM 2000 - Obróbka Materiałów - Stan Obecny i Kierunki Rozwoju, 2000, Cracow, pp. 119-127. (in Polish)
• [7] J. Sładek: Modelling and evaluation of accuracy of coordinate measuring machines and coordinate measurements. Habilitation thesis. Cracow University of Technology, 2002. (in Polish)
• [8] M. Poniatowska: “Research on spatial interrelations of geometric deviations determined in coordinate measurements of free-form surfaces”. Metrol. Meas. Syst., vol. XVI, no. 3, 2009, pp. 501-510.