Issue |
E3S Web of Conf.
Volume 410, 2023
XXVI International Scientific Conference “Construction the Formation of Living Environment” (FORM-2023)
|
|
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Article Number | 01004 | |
Number of page(s) | 9 | |
Section | Modern Building Materials | |
DOI | https://doi.org/10.1051/e3sconf/202341001004 | |
Published online | 09 August 2023 |
On the spectra of composite materials with different dissipation models
1 Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, Moscow, 129337, Russia
2 Ishlinsky Institute for Problems in Mechanics of Russian Academy of Sciences, Pr. Vernadskogo, 101-1, Moscow, 119526, Russia
* Corresponding author: tatyana2211@outlook.com
The article deals with the issues of qualitative behavior and methods for calculating the spectra of natural vibrations of a layered composite consisting of elastic and viscoelastic phases with dissipation. As a viscoelastic phase, it is proposed to consider a viscoelastic material with exponential aftereffect kernels, with aftereffect kernels in the form of Rabotnov functions, a material with Kelvin-Voigt friction and a material with fractional Kelvin-Voigt friction. A general scheme is given for studying the qualitative properties of the spectra of one-dimensional oscillations and a method for calculating one-dimensional oscillations, which consists in reducing the spectral problem to solving algebraic equations. The question of the convergence of natural frequencies of oscillations of composite samples to the natural frequencies of averaged boundary value problems, which are non-self-adjoint, is discussed.
© The Authors, published by EDP Sciences, 2023
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