Danila Prikazchikov d.prikazchikov@keele.ac.uk
The lowest vibration spectra of multi-component structures with contrast material properties
Prikazchikov; Kaplunov
Abstract
The paper is concerned with the lowest vibration modes of multi-component rods and cylinders with alternating high contrast material properties of the components. It is demonstrated that these modes correspond to almost rigid body motions of the “stiffer” components. A general perturbation scheme is developed. At leading order polynomial frequency equations are derived, along with linear algebraic equations for the associated eigenforms. In addition, for multi-component rods, higher order corrections are also obtained. Examples of three- and five-component structures are presented, illustrating the efficiency of the proposed approach.
Citation
Prikazchikov, & Kaplunov. (2019). The lowest vibration spectra of multi-component structures with contrast material properties. Journal of Sound and Vibration, 132 -147. https://doi.org/10.1016/j.jsv.2019.01.013
Acceptance Date | Jan 9, 2019 |
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Publication Date | Jan 14, 2019 |
Journal | Journal of Sound and Vibration |
Print ISSN | 0022-460X |
Publisher | Elsevier |
Pages | 132 -147 |
DOI | https://doi.org/10.1016/j.jsv.2019.01.013 |
Keywords | multi-component, contrast, lowest modes, perturbation, rod, cylinder |
Publisher URL | http://doi.org/10.1016/j.jsv.2019.01.013 |
Files
ContrastRodMembrane_20181219.pdf
(723 Kb)
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
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