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Kaplunov, J, Prikazchikov, DA, Prikazchikova, LA and Sergushova, O (2019) The lowest vibration spectra of multi-component structures with contrast material properties. Journal of Sound and Vibration, 445. 132 -147. ISSN 0022-460X
ContrastRodMembrane_20181219.pdf - Accepted Version
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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.
Item Type: | Article |
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Uncontrolled Keywords: | multi-component, contrast, lowest modes, perturbation, rod, cylinder |
Subjects: | Q Science > QC Physics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Related URLs: | |
Depositing User: | Symplectic |
Date Deposited: | 08 Jul 2019 15:13 |
Last Modified: | 12 Jun 2020 09:22 |
URI: | https://eprints.keele.ac.uk/id/eprint/6565 |