Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Band gaps in plates and cylindrical shells with 1D periodic elastic properties
Submission Author:
Rayston Sousa , SP
Co-Authors:
Rayston Sousa, Jean-Mathieu Mencik, Jose Maria Campos dos Santos
Presenter: Jean-Mathieu Mencik
doi://10.26678/ABCM.COBEM2017.COB17-1982
Abstract
In this work, the wave propagation in phononic crystal plates and cylindrical shells is analyzed. The main purpose is to investigate the properties of the periodicity on the frequency band structure, and especially, the location and width of band gaps. To analyze the phononic crystal systems, a numerical technique called wave finite element (WFE) method is investigated. It uses the concept of transfer matrix methods to calculate the wave propagation behavior along one-dimensional (1D) periodic systems. In this paper, the WFE method is used to calculate band gaps in elastic phononic crystal plates and cylindrical shells with a periodic distribution of different elastic properties. Band gaps generated by Bragg scattering effect are calculated with the WFE method through different test cases. Results are presented in the form of dispersion diagrams and frequency response functions. The relevance of the WFE method is clearly demonstrated in comparison with different analytical theories.
Keywords
periodic structures, Phononic Crystals, band gaps, wave finite element method, spectral element method

