Comparative analysis of certain particular cases of approximation of experimental data
- 13 Downloads
It is shown with reference to examples concerning the prediction of the mechanical and deformation properties of polymeric materials that the use of the linearization method for approximating the experimental data with certain functions, with the object of subsequently determining their parameters by least squares, is not always justified and may lead to significant errors. In particular, the determination of the parameters of the relation for the time-temperature shift factor and the approximation of certain experimental data by means of power and exponential functions are considered.
KeywordsExperimental Data Comparative Analysis Polymeric Material Exponential Function Significant Error
Unable to display preview. Download preview PDF.
- 1.L. Z. Rumshinskii, Mathematical Analysis of Experimental Data [in Russian], Moscow (1971).Google Scholar
- 2.E. I. Pustyl'nik, Statistical Methods of Data Analysis [in Russian], Moscow (1968).Google Scholar
- 3.A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Rigid Polymeric Materials [in Russian], 2nd ed., Riga (1972).Google Scholar
- 4.M. Ya. Tutans and Yu. S. Urzhumtsev, Mekhan. Polim., No. 3, 421 (1971).Google Scholar
- 5.R. P. Apinis, S. L. Skalozub, and Yu. S. Urzhumtsev, Mekhan. Polim., No. 6, 1039 (1972).Google Scholar
- 6.Yu. S. Urzhumtsev, Mekhan. Polim., No. 3, 498 (1972).Google Scholar
- 7.J. D. Ferry, Viscoelastic Properties of Polymers, Wiley, New York (1961).Google Scholar