Mathematical modeling of the multimodal distributions of elastomer relaxation spectra using the family of Pearson curves
- Authors: Podvalny S.L.1, Khvostov A.A.2, Tikhomirov S.G.2
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Affiliations:
- Voronezh State Technical University
- Voronezh State University of Engineering Technologies
- Issue: Vol 80, No 9 (2016)
- Pages: 1136-1137
- Section: Proceedings of the 23rd International Scientific Conference “Relaxation Phenomena in Solids,” Dedicated to the Centenary of the Birth of V.S. Postnikov
- URL: https://journals.rcsi.science/1062-8738/article/view/184828
- DOI: https://doi.org/10.3103/S1062873816090355
- ID: 184828
Cite item
Abstract
An approach to the mathematical modeling of elastomer relaxation spectra obtained via acoustic spectroscopy is presented. The solving of Pearson differential equations is the basis for the calculated dependences. The solutions to the equations describe the frequency and temperature distribution of the mechanical loss tangent. The form of the distribution is estimated from selected statistical moments of the experimental relaxation spectra and the mechanical loss tangent.
About the authors
S. L. Podvalny
Voronezh State Technical University
Email: khvtol1974@yandex.ru
Russian Federation, Voronezh, 394026
A. A. Khvostov
Voronezh State University of Engineering Technologies
Author for correspondence.
Email: khvtol1974@yandex.ru
Russian Federation, Voronezh, 394036
S. G. Tikhomirov
Voronezh State University of Engineering Technologies
Email: khvtol1974@yandex.ru
Russian Federation, Voronezh, 394036
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