Kaplunov, J, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079, 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.

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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
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: 08 Jul 2019 15:16
URI: http://eprints.keele.ac.uk/id/eprint/6565

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