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The lowest vibration spectra of multi-component structures with contrast material properties

Prikazchikov; Kaplunov

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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.

Acceptance Date Jan 9, 2019
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

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