Mechanics Research Communications, volume 103, pages 103476
Analysis of periodicity-induced attenuation effect in a nonlinear waveguide by means of the method of polynomial system resultants
Hvatov Alexander
1
,
Publication type: Journal Article
Publication date: 2020-01-20
Journal:
Mechanics Research Communications
Quartile SCImago
Q2
Quartile WOS
Q3
Impact factor: 2.4
ISSN: 00936413
Condensed Matter Physics
General Materials Science
Mechanical Engineering
Mechanics of Materials
Civil and Structural Engineering
Abstract
This paper addresses the application of the novel method of polynomial system resultants for solving two problems governed by systems of cubic equations. Both problems emerge in analysis of stationary dynamics of a periodic waveguide, which consists of linearly elastic continuous rods with nonlinear springs between them. The first one is the classical problem of finding “backbone curves” for free nonlinear vibrations of a symmetric unit periodicity cell of the waveguide. The second one is the problem of finding the Insertion Losses for a semi-infinite waveguide with several periodicity cells. Similarly to the canonical linear case, a very good agreement between boundaries of high attenuation frequency ranges and eigenfrequencies of a unit cell is demonstrated.
Citations by journals
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Acta Mechanica
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Acta Mechanica
1 publication, 50%
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Mechanics Research Communications
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Mechanics Research Communications
1 publication, 50%
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Citations by publishers
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Springer Nature
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Springer Nature
1 publication, 50%
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Elsevier
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Elsevier
1 publication, 50%
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Hvatov A., Ledet L. S. Analysis of periodicity-induced attenuation effect in a nonlinear waveguide by means of the method of polynomial system resultants // Mechanics Research Communications. 2020. Vol. 103. p. 103476.
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Hvatov A., Ledet L. S. Analysis of periodicity-induced attenuation effect in a nonlinear waveguide by means of the method of polynomial system resultants // Mechanics Research Communications. 2020. Vol. 103. p. 103476.
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TY - JOUR
DO - 10.1016/j.mechrescom.2020.103476
UR - https://doi.org/10.1016%2Fj.mechrescom.2020.103476
TI - Analysis of periodicity-induced attenuation effect in a nonlinear waveguide by means of the method of polynomial system resultants
T2 - Mechanics Research Communications
AU - Hvatov, Alexander
AU - Ledet, L. S.
PY - 2020
DA - 2020/01/20 00:00:00
PB - Elsevier
SP - 103476
VL - 103
SN - 0093-6413
ER -
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@article{2020_Hvatov,
author = {Alexander Hvatov and L. S. Ledet},
title = {Analysis of periodicity-induced attenuation effect in a nonlinear waveguide by means of the method of polynomial system resultants},
journal = {Mechanics Research Communications},
year = {2020},
volume = {103},
publisher = {Elsevier},
month = {jan},
url = {https://doi.org/10.1016%2Fj.mechrescom.2020.103476},
pages = {103476},
doi = {10.1016/j.mechrescom.2020.103476}
}
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