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Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods

Prikazchikov, Danila; Kaplunov, Julius; Sergushova, Olga

Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods Thumbnail


Authors

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 Mar 28, 2024
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

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