Kaplunov, J, Prikazchikov, D and Sergushova, O (2015) Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. Journal of Sound and Vibration, 366. pp. 264-276. ISSN 0022-460X

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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.

Item Type: Article
Uncontrolled Keywords: composite rod, contrast, low frequency
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 19 Jan 2016 09:56
Last Modified: 18 Apr 2019 09:44
URI: https://eprints.keele.ac.uk/id/eprint/1326

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