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Investigating advantages and disadvantages of the analysis of a geometrical surface structure with the use of Fourier and wavelet transform

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Nowadays a geometrical surface structure is usually evaluated with the use of Fourier transform. This type of transform allows for accurate analysis of harmonic components of surface profiles. Due to its fundamentals, Fourier transform is particularly efficient when evaluating periodic signals. Wavelets are the small waves that are oscillatory and limited in the range. Wavelets are special type of sets of basis functions that are useful in the description of function spaces. They are particularly useful for the description of non-continuous and irregular functions that appear most often as responses of real physical systems. Bases of wavelet functions are usually well located in the frequency and in the time domain. In the case of periodic signals, the Fourier transform is still extremely useful. It allows to obtain accurate information on the analyzed surface. Wavelet analysis does not provide as accurate information about the measured surface as the Fourier transform, but it is a useful tool for detection of irregularities of the profile. Therefore, wavelet analysis is the better way to detect scratches or cracks that sometimes occur on the surface. The paper presents the fundamentals of both types of transform. It presents also the comparison of an evaluation of the roundness profile by Fourier and wavelet transforms.
Rocznik
Strony
233--243
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
autor
autor
  • Kielce University of Technology, Faculty of Mechatronics and Machinery Design, Al. 1000-lecia P.P. 7, 25-314 Kielce, Poland, adamczak@tu.kielce.pl
Bibliografia
  • [1] M. Wieczorowski, A. Cellary, J. Chajda: Charakterystyka chropowatości powierzchni-przewodnik. Politechnika Poznańska, Poznań, 1996. (in Polish)
  • [2] M. Hatala: “Quality of the cut of constructional steel caused after cutting with ribbon saw”. Proceedings ERIN 2009, VŠB TU Ostrava, 2009, pp. 1-5.
  • [3] M. Hatala, R. Čep, I. Orlovský: “Testing methods of machinability of materials”. Automobil industry, vol. 5, no. 3, 2009, pp. 52-55.
  • [4] R. Čep, M. Neslušan, B. Barišič: “Chip Formation Analysis During Hard Turning”. Strojarstvo, vol. 50, no. 6, 2008, pp. 337-345.
  • [5] I. Gajdoš et al.: “Simulácia deformovania plastových výliskov v procese vstrekovania plastov”. Acta Mechanica Slovaca, vol. 10, no. 2b, 2006, pp. 129-134.
  • [6] L. Čepová, R. Čep, J. Valíček et al.: “Evaluation of roundness deviation on conventional measuring device and CMM”. Technological Engineering, vol. VI, no. 2, 2009, pp. 9-12.
  • [7] S. Brol, W. Grzesik: “Continuous wavelet approach to surface profile characterization after finish turning of three different workpiece materials”. Advances in Manufacturing Science and Technology, vol. 33, no. 1, 2009, pp. 45-57.
  • [8] S.H. Lee et al.: “Morphological characterisation of engineered surfaces by wavelet transform”. International Journal of Machine Tools and Manufacture, vol. 38, 1998, pp. 581-589.
  • [9] X.Q. Jiang et al.: “Application of the lifting wavelet to rough surfaces”. Precision Engineering, vol. 25, 2001, pp. 83-89.
  • [10] P. Augustyniak: Transformacje falkowe w zastosowaniach elektrodiagnostycznych. Uczelniane Wyd. Naukowo-Dydaktyczne, AGH, Kraków, 2003. (in Polish)
  • [11] T. Zieliński: “Wavelet transform applications in instrumentation and measurement: tutorial and literature survey”. Metrol. Meas. Syst., vol. 11, no. 1, 2004, pp. 61-101.
  • [12] J.T. Białasiewicz: Falki i aproksymacje. Wyd. drugie. Wyd. Naukowo-Techniczne, Warszawa, 2004. (in Polish)
  • [13] W. Glabisz: Pakietowa analiza falkowa w zagadnieniach mechaniki. Oficyna Wydawnicza Politechniki Wrocławskiej, Wrocław, 2004. (in Polish)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0065-0008
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