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
• 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