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DINAME2019
DINAME2019
Dynamic Response Computation in Phononic Crystal Cylindrical Shells by Wave Methods
Submission Author:
Flavio Nunes Pereira , MA
Co-Authors:
Flavio Nunes Pereira, Rayston Sousa, Jose Maria Campos dos Santos
Presenter: Flavio Nunes Pereira
doi://10.26678/ABCM.DINAME2019.DIN2019-0182
Abstract
Cylindrical shells are often used as structural elements in engineering. They are used for the construction of reservoirs, pressure vessels, fuselage, submarines, ducts and so on. Recently they have been used also as a new periodic composite material known as phononic crystals (PCs). PCs can be seen as structures having different elastic properties and/or different geometry which are periodically distributed along their space. Periodicity generates band gaps, i.e., stop bands or forbidden bands over which waves do not propagate. This feature enables one to propose new and efficient solutions for the vibration of structures. The aim of the paper is to investigate the wave propagation and properties of periodicity on the frequency band structure of PCs made with cylindrical shells. Band gaps generated by Bragg scattering effect are calculated for different test cases. Two methods are proposed for this investigation the Wave Spectral Element (WSE) method and the Wave Finite Element (WFE) method. Simulated results are presented in frequency domain as dispersion diagrams. Free and forced responses are under development and the results of band gaps generated will be presented as frequency response functions (FRF) in the final paper. Results calculated by WSE, WFE and conventional finite element (FE) method are compared among themselves.
Keywords
periodic structures, Phononic Crystals, band gaps, wave finite element method, spectral element method
