| Issue |
MATEC Web Conf.
Volume 212, 2018
2018 International Scientific Conference “Investment, Construction, Real Estate: New Technologies and Special-Purpose Development Priorities” (ICRE 2018)
|
|
|---|---|---|
| Article Number | 01031 | |
| Number of page(s) | 10 | |
| Section | New materials, Structures and Technologies for Construction in Specific Conditions of Siberia and the Far East | |
| DOI | https://doi.org/10.1051/matecconf/201821201031 | |
| Published online | 15 October 2018 | |
The propagation of longitudinal stress waves in an infinite rod with a viscoelastic region
National Research Moscow State Building University, 129337, Yaroslavskoe shosse, 26, Moscow, Russia
* Corresponding author: pashkovav@mgsu.ru
The problem of propagation of longitudinal stress waves in an infinite piece-wise homogeneous rod with a viscoelastic region of finite size is solved. A mathematical formulation of the problem and its analytical solution in stresses are obtained. The solution uses the method of the Laplace integral transformation with respect to time. The expressions obtained allow one to determine the stresses in an arbitrary cross-section of the rod at any time. The structure of the solution reflects the process of transformation of the incoming wave with its multiple refraction and reflection at the boundaries of the sections. The solution obtained makes it possible to quantitatively investigate the damping effect of the viscoelastic region and can serve as the basis for selecting the parameters of the insert material when it is used to extinguish the dynamic effects.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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