Identification of Parameters of Short-Time Creep of Plexiglas By Means of Studying Decaying Flexural Vibrations of Test Samples
- Authors: Paimushin V.N.1,2, Firsov V.A.1, Shishkin V.M.3
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Affiliations:
- Kazan National Research Technical University named after A. N. Tupolev
- Kazan Federal University
- Vyatka State University
- Issue: Vol 59, No 3 (2018)
- Pages: 519-530
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161135
- DOI: https://doi.org/10.1134/S0021894418030173
- ID: 161135
Cite item
Abstract
A technique for identification of hereditary properties under conditions of short-time creep of Plexiglas is developed. The technique is based on experimental determination of shifting of the center of decaying flexural vibrations of vertically aligned test samples after their preliminary maintaining in a static bent state. Mathematically, the technique is based on using the finite element method and integral equations of the theory of hereditary viscoelasticity with the Koltunov–Rzhanitsyn hereditary kernel. An object function is constructed for identification of rheological parameters of this kernel. The minimum of this function is found by the direct search method, which does not require the function gradient to be known. The hereditary kernel of Plexiglas averaged on the basis of data for several test samples is obtained as a function of time.
About the authors
V. N. Paimushin
Kazan National Research Technical University named after A. N. Tupolev; Kazan Federal University
Author for correspondence.
Email: vpajmushin@mail.ru
Russian Federation, Kazan, 420111; Kazan, 420008
V. A. Firsov
Kazan National Research Technical University named after A. N. Tupolev
Email: vpajmushin@mail.ru
Russian Federation, Kazan, 420111
V. M. Shishkin
Vyatka State University
Email: vpajmushin@mail.ru
Russian Federation, Kirov, 610000