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DINAME2019
DINAME2019
Scaled boundary finite element method for band gap analysis of onedimensional phononic crystal solids
Submission Author:
Helio Cantanhêde , SE
Co-Authors:
Helio Cantanhêde, Edson Jansen Pedrosa de Miranda Junior, Jose Maria Campos dos Santos
Presenter: Helio Cantanhêde
doi://10.26678/ABCM.DINAME2019.DIN2019-0179
Abstract
In this paper, the wave propagation in one-dimensional (1D) solid phononic crystals is analysed. When the composite materials and structures consist of two or more different materials periodically, there will be stop band characteristic, in which the elastic/acoustic wave cannot propagate. These periodic structures are called phononic crystals. The main purpose is to study the properties of the periodicity on the frequency band structure (also known as dispersion diagram), and especially, the location and width of band gaps. For this analysis, it is used the semi-analytical numerical method called scaled boundary finite element method (SBFEM), which models an analysis domain by a small number of large-sized subdomains and discretises subdomain boundaries only. It uses the concept of transfer matrix methods to calculate the wave propagation behaviour along 1D periodic systems. For comparison purpose, the band structure obtained from SBFEM is compared to the band structure calculated by plane wave expansion (PWE) and wave finite element (WFE) methods. Band gaps generated by Bragg scattering effect are obtained with the SBFEM, WFE and PWE through different test cases. Results are presented in the form of dispersion diagrams and frequency response functions.
Keywords
Scaled boundary finite element method, periodic structures, Phononic Crystals, Bragg-type band gaps.
