Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Wave propagation and frequency band structure in cylindrical shells
Submission Author:
Flavio Nunes Pereira , MA
Co-Authors:
Jose Maria Campos dos Santos, Flavio Nunes Pereira
Presenter: Flavio Nunes Pereira
doi://10.26678/ABCM.COBEM2017.COB17-2358
Abstract
The aim of the paper is to investigate the wave propagation and properties of periodicity on the frequency band structure of a circular cylindrical shell phononic cristal. The structural member is modelled using the semi-analytical technique called Spectral Element (SE) method, where the dynamic stiffness matrix of a circular cylindrical shell element is formulated. In the governing equations time derivatives are transformed by using the spectral decomposition, while the circumferential coordinate is eliminated by applying the solution in the form of Fourier series. By post-processing the SE model of a circular cylindrical shell unit-cell and applying the Floquet-Bloch theorem a transfer matrix eigenproblem is obtained, where the wave propagation behaviour along one-dimensional (1D) periodic systems can be calculated. This approach is called wave spectral element (WSE) method, and is also used to calculate band gaps in a circular cylindrical shell phononic crystal made with two elastic properties. Results are presented in frequency domain in dispersion diagrams. Precision and efficiency of the SE and WSE methods are demonstrated by computing wave propagation and band gaps in pipe like periodic structures with cylindrical shells spectral elements.
Keywords
phononic crystal, spectral element, cylindrical shell
