Open AccessThe analysis of dynamics of periodic fluid-loaded flexible tubes
Author(s) -
С Э Аветисов,
С. А. Сорокин
Publication year - 2020
Publication title -
trudy krylovskogo gosudarstvennogo naučnogo centra
Language(s) - English
Resource type - Journals
eISSN - 2618-8244
pISSN - 2542-2324
DOI - 10.24937/2542-2324-2020-2-s-i-272-275
Subject(s) - floquet theory , metamaterial , normal mode , action (physics) , mechanics , tube (container) , modal analysis , physics , waveguide , galerkin method , dynamics (music) , acoustics , materials science , finite element method , vibration , optics , composite material , quantum mechanics , nonlinear system , thermodynamics
In this report, we consider a periodic tube consisting of absolutely rigid sections alternated with soft segments of the same inner diameter under the action of a tensile force. The purpose of this analysis is to explore possibilities to suppress wave propagation using this complex tube model as a muffler. Its waveguide properties are assessed by means of a mathematical model formulated in the framework of Floquet theory and the results are compared with the eigenfrequency and eigenmode analysis of a unit symmetric periodicity cell. The setup consisting of these alternating sections creates the stop band effect, so that it may be called a ‘macroscale acoustic metamaterial’.