Primary processing of experimental data of modern testing machine for identification of rheological models

Authors

  • Anatoliy Arsangaleevich Adamov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2013.6.2.16

Keywords:

time series, Chebyshev polynomials, best approximation by splines, piecewise-continuous approximation, consideration of points of discontinuity in the first derivative, spline optimality criteria, data selection

Abstract

The procedures of compression, smoothing, filtration and correction of experimental data in the form of time series recorded by modern test machines are considered. The piecewise-continuous approximations are obtained by using Chebyshev polynomials and best spline approximations going through the first prescribed point on the sections between neighboring points of discontinuity in the first derivative. The iteration procedures for constructing polynomials and splines based on different optimality criteria and data selection have been realized.

Downloads

Download data is not yet available.

References

Slonimskij G.L. Relaksacionnye processy v polimerah i puti ih opisania // Vysokomolek. soedinenia. Seria A. - 1971. - T. 13, No 2. - S. 450-460.
2. Adamov A.A., Kuznecov G.B. K metodike opisania reologiceskih processov pri konecnyh deformaciah teoriej nasledstvennosti // Prikladnye zadaci mehaniki polimerov i sistem. - Sverdlovsk: UNC AN SSSR, 1977. - S. 11-20.
3. Adamov A.A., Matveenko V.P., Trufanov N.A., Sardakov I.N. Metody prikladnoj vazkouprugosti. - Ekaterinburg: UrO RAN, 2003. - 411 s.
4. Vapnik V.N. Vosstanovlenie zavisimostej po empiriceskim dannym. - M.: Nauka, 1979. - 448 s.
5. Algoritmy i programmy vosstanovlenia zavisimostej. / Pod red.V.N. Vapnika. - M.: Nauka, 1984. - 816 s.
6. Barten’ev O.V. Fortran dla professionalov. Matematiceskaa biblioteka IMSL. Cast’ 3. - M: Dialog-MIFI, 2001. - 368 s.
7. De Bor K. Prakticeskoe rukovodstvo po splajnam. - M.: Radio i svaz’, 1985. - 304 s.
8. Popov B.A. Ravnomernoe priblizenie splajnami. - Kiev: Naukova dumka, 1989. - 272 s.
9. Vasilenko V.A., Zuzin M.V., Kovalkov A.V. Splajn-funkcii i cifrovye fil’try. - Novosibirsk: VC SO AN SSSR, 1984. - 156 s.
10. Nosac V.V. Resenie zadac approksimacii s pomos’u personal’nyh komp’uterov.- M.: MIKAP, 1994. - 382 s.
11. Voskobojnikov U.E., Preobrazenskij N.G., Sedel’nikov A.I. Matematiceskaa obrabotka eksperimenta v molekularnoj gazodinamike. - Novosibirsk: Nauka, 1984. - 238 s.

Published

2013-07-17

Issue

Section

Articles

How to Cite

Adamov, A. A. (2013). Primary processing of experimental data of modern testing machine for identification of rheological models. Computational Continuum Mechanics, 6(2), 131-139. https://doi.org/10.7242/1999-6691/2013.6.2.16