The dispersion of waves in a system of elastic rods periodically supported with flexible elements

TitleThe dispersion of waves in a system of elastic rods periodically supported with flexible elements
Publication TypeJournal Article
Year of Publication2017
AuthorsOliynik, VN
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.08.027
Issue8
SectionMechanics
Pagination27-33
Date Published8/2017
LanguageUkrainian
Abstract

Wave properties of a periodic structure formed by two parallel infinite rods reinforced by periodically placed simply supported flexible bars are studied. In the cases of in-phase and anti-phase longitudinal motions of the rods, the dispersion equations are obtained by the Floquet method, and phase velocity values are determined for a harmonic wave propagating in the considered system. A significant dispersion is shown to be inherent to this wave due to exciting the bending modes of the bars in the corresponding frequency ranges.
Keywordsbending vibrations, dispersion, Floquet method, periodic elastic structure, phase velocity
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