Danila Prikazchikov d.prikazchikov@keele.ac.uk
Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods
Prikazchikov, Danila; Kaplunov, Julius; Sergushova, Olga
Authors
Julius Kaplunov j.kaplunov@keele.ac.uk
Olga Sergushova
Abstract
The results of a multi-parametric analysis of the near-rigid body motions of a three-component strongly inhomogeneous elastic rod are presented. It is demonstrated that the values of the associated lowest natural frequencies tend to zero at large/small ratios of material and geometric parameters. The low-frequency behaviour is classified into global and local regimes and the general conditions supporting global low-frequency regimes are derived. As an example, a rod with piecewise uniform properties is considered. A perturbation procedure oriented to a more general setup is developed.
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 4, 2015 |
Online Publication Date | Dec 30, 2015 |
Publication Date | Mar 31, 2016 |
Publicly Available Date | May 26, 2023 |
Journal | Journal of Sound and Vibration |
Print ISSN | 0022-460X |
Electronic ISSN | 1095-8568 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 366 |
Pages | 264-276 |
DOI | https://doi.org/10.1016/j.jsv.2015.12.008 |
Keywords | composite rod, contrast, low frequency |
Publisher URL | https://www.sciencedirect.com/science/article/pii/S0022460X15009906?via%3Dihub |
Files
CompRod.pdf
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
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