Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Wave propagation and band structure manipulation with fractal phononic crystals
Submission Author:
Victor Gustavo Ramos Costa Dos Santos , SP , Brazil
Co-Authors:
Victor Gustavo Ramos Costa Dos Santos, Edson Jansen Pedrosa de Miranda Junior, Jose Maria Campos dos Santos
Presenter: Edson Jansen Pedrosa de Miranda Junior
doi://10.26678/ABCM.MECSOL2022.MSL22-0059
Abstract
The possibilities of influencing the behavior of propagating waves using the appropriate choice of materials is a field of interest in engineering. Traditional materials have very limited control of sound waves. Thus, new artificial composite materials with good vibration absorbing properties are needed to solve this problem. This paper presents the study for a two-dimensional (2-D) Sierpinski and Quasi-Sierpinski fractal phononic crystals (PnC). These PnC consist of various lattice inclusions of two materials with large impedance mismatch in a rubber matrix. The inclusions present square and circular cross sections and are concentrically aligned. The chosen materials allow elastic waves to be forbidden from propagation within certain frequency bands, the so-called band gaps or stop bands. Structures with fractal distributions and higher stages favor the appearance of several absolute gaps and with larger bandwidth. The band structure and wave mode shapes are calculated by the Finite Element (FE) and Plane Wave Expansion (PWE) methods, considering the Bloch-Floquet boundary conditions applied to all sides of the unit cell to form the periodic structure.
Keywords
Phononic Crystals, Sierpinski carpet fractal, band gap
