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Design of periodic structures with application to phononic crystals and acoustic metamaterials

Grant number: 14/19054-6
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): December 01, 2014
Effective date (End): July 31, 2018
Field of knowledge:Engineering - Mechanical Engineering - Mechanics of Solids
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal researcher:José Roberto de França Arruda
Grantee:Danilo Beli
Home Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):15/15718-0 - Dynamic Behavior of Beam and Plate Metamaterials with Fluid-Structure Interaction, BE.EP.DR


The project intends to study classical periodic structures, phononic crystals and acoustic metamaterials by wave propagation techniques in order to create, mainly, band gaps (stop band) to control noise and vibration. The wave propagation methods present advantages to model periodic structures because they enable reduction in the calculation time, accuracy in all range frequency, modeling complex theory and complex geometries, and also allow easy assembly with other substructures. Phononic crystals and acoustic metamaterials are artificial periodic structures that have recently appeared, have interesting properties (band gaps, tunneling, wave acceleration, and local resonance, among others) and applications such as filtering, noise and vibration reduction, and also image processing - yet underexplored. Band gaps are frequency bands where wave propagation in the structure is not possible; they can be created by the difference of properties between the inclusions and the matrix host (phononic crystals) or through the inclusion of modified acoustic cells that are smaller than the wavelength (acoustic metamaterial). The case studies suggested (flexible rotating ring, nonlinear and/or multiscale modeling, vibration and noise absorber) allow the development of the numerical methods (SEM and WFE), physics concepts of acoustic metamaterials and phononic crystals, besides the conceiving of important design devices and with many applications. (AU)

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Scientific publications (7)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
SOUZA, MARCOS R.; BELI, DANILO; FERGUSON, NEIL S.; ARRUDA, JOSE ROBERTO DE F.; FABRO, ADRIANO T. A Bayesian approach for wavenumber identification of metamaterial beams possessing variability. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 135, JAN 1 2020. Web of Science Citations: 2.
ASSIS, GEORGE F. C. A.; BELI, DANILO; DE MIRANDA JR, EDSON J. P.; CAMINO, JUAN F.; DOS SANTOS, JOSE MARIA C.; ARRUDA, JOSE ROBERTO F. Computing the complex wave and dynamic behavior of one-dimensional phononic systems using a state-space formulation. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v. 163, NOV 2019. Web of Science Citations: 0.
BELI, DANILO; FABRO, ADRIAN T.; RUZZENE, MASSIMO; ARRUDA, JOSE ROBERTO F. Wave attenuation and trapping in 3D printed cantilever-in-mass metamaterials with spatially correlated variability. SCIENTIFIC REPORTS, v. 9, APR 4 2019. Web of Science Citations: 5.
BELI, D.; MENCIK, J. -M.; SILVA, P. B.; ARRUDA, J. R. F. A projection-based model reduction strategy for the wave and vibration analysis of rotating periodic structures. COMPUTATIONAL MECHANICS, v. 62, n. 6, p. 1511-1528, DEC 2018. Web of Science Citations: 0.
BELI, D.; ARRUDA, J. R. F.; RUZZENE, M. Wave propagation in elastic metamaterial beams and plates with interconnected resonators. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v. 139, p. 105-120, MAY 15 2018. Web of Science Citations: 20.
BELI, DANILO; SILVA, PRISCILLA BRANDAO; DE FRANCA ARRUDA, JOSE ROBERTO. Mechanical circulator for elastic waves by using the nonreciprocity of flexible rotating rings. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 98, p. 1077-1096, JAN 1 2018. Web of Science Citations: 5.
BELI, DANILO; SILVA, PRISCILLA BRANDAO; DE FRANCA ARRUDA, JOSE R. Vibration Analysis of Flexible Rotating Rings Using a Spectral Element Formulation. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, v. 137, n. 4 AUG 2015. Web of Science Citations: 7.
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
BELI, Danilo. Atenuação de vibrações e manipulação de ondas elásticas em estruturas periódicas utilizando bandas proibidas e não reciprocidade. 2018. Doctoral Thesis - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica.

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