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DINAME2019
DINAME2019
One-Dimensional Phononic Crystal Dynamic Analysis by Spectral Transfer Matrix Method
Submission Author:
Adriano Goto , SP , Brazil
Co-Authors:
Adriano Goto, Edilson Dantas Nóbrega, Vilson Souza Pereira, Dalmo Inacio Galdêz Costa, Jose Maria Campos dos Santos
Presenter: Adriano Goto
doi://10.26678/ABCM.DINAME2019.DIN2019-0127
Abstract
The attenuation and control of vibration and noise observed in periodic systems increases the number of researches on this class of materials, commonly referred as phononic crystals. The evaluation of the wave propagation problem in phononic crystals is significantly simplified due to periodicity. It enabling faster and more accurate numerical analysis. Elastic phononic crystals are calculated using the dynamic stiffness matrix formulation, which is conveniently transformed in a transfer matrix to apply Floquet-Bloch theorem. This procedure can generates an ill-conditioned transfer matrix. In the present work a new procedure to evaluate one-dimensional phononic crystals is proposed, which uses directly a spectral transfer matrix (STM). The simulated results presents good agreement with the conventional numerical methods and allows to obtain dispersion diagrams and force responses of periodic structures. An Euler-Bernoulli beam model is under development and new results should be presented in the conference.
Keywords
Phononic Crystals, band gap, Spectral Transfer Matrix, wave propagation
