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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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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.
Item Type: | Article |
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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 |