Communications - Scientific Letters of the University of Zilina 2005, 7(4):59-61 | DOI: 10.26552/com.C.2005.4.59-61
Legendre Polynomials Used for the Approximation of Cylindrical Surfaces
- 1 Centre for Laser Technologies of Metals, Faculty of Mechatronics and Machinery Design, Kielce University of Technology, Poland
- 2 Department of Mechanical Technology and Metrology, Faculty of Mechatronics and Machinery Design, Kielce University of Technology, Poland
The paper deals with a concept of application of orthogonal Legendre polynomials for the approximation of cylindrical surfaces. It presents fundamentals of a mathematical model of such approximation. The theoretical considerations are supported by the results of the experimental verification of the developed concept.
Keywords: no keywords
Published: December 31, 2005 Show citation
| ACS | AIP | APA | ASA | Harvard | Chicago | Chicago Notes | IEEE | ISO690 | MLA | NLM | Turabian | Vancouver |
References
- ADAMCZAK, S., JANECKI, D.: Computerized systems for measurement and evaluation of the form of cylindrical surfaces by reference methods (in Polish), Materiały na naukowe posiedzenie Komitetu Budowy Maszyn PAN, Kielce 2002, pp. 47-60.
- SPIEGEL, M. R.: Theory and problems of advanced mathematics for engineers and scientists, Schaum's outline series, McGraw-Hill Book Company, 1971, pp. 242-256.
- CEGIEŁA, R., ZALEWSKI, A.: MATLAB - Numerical calculations and their applications (in Polish), Wydawnictwo NAKOM, Poznań 1999, pp. 260-262.
- Final report on "Theoretical and experimental fundamentals of reference cylindricity measurements of machine parts" elaborated in the framework of the research grant No. 7T07D00617 (in Polish), supported by KBN, Politechnika ¦więtokrzyska w Kielcach, 2003, pp. 28-8.
- SUMMERHEYS, K. D. et al.: Optimising discrete point sample patterns and measurement data analysis on internal cylindrical surfaces with systematic form errors, Precision Engineering, Vol 26., Elsevier, 2002, pp. 105-121.
Go to original source... - HENKE, R. P. et al.: Methods for evaluation of systematic geometric deviations in machine parts and their relationships to process variables, Precision Engineering, Vol 23., Elsevier, 1999, pp. 273-292.
Go to original source...
This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.

