The dispersion of waves in a system of elastic rods periodically supported with flexible elements
DOI:
https://doi.org/10.15407/dopovidi2017.08.027Keywords:
bending vibrations, dispersion, Floquet method, periodic elastic structure, phase velocityAbstract
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.
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