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

• Grant number: 14/19054-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: December 01, 2014
• End date: July 31, 2018
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: José Roberto de França Arruda
• Grantee: Danilo Beli
• Host 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

Abstract

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)

Scientific publications

(11)

(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)

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. (15/15718-0, 14/19054-6)

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. (14/19054-6)

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. (10/17317-9, 13/23542-3, 14/19054-6)

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. (15/15718-0, 14/19054-6)

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. (18/18774-6, 14/19054-6, 18/15894-0)

FABRO, ADRIANO T.; BELI, DANILO; FERGUSON, NEIL S.; ARRUDA, JOSE ROBERTO F.; MACE, BRIAN R.. ave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying propertie. WAVE MOTION, v. 103, JUN 2021. (14/19054-6)

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. (10/17317-9, 14/19054-6)

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. (14/19054-6, 18/15894-0, 18/18774-6)

BELI, D.; FABRO, A. T.; RUZZENE, M.; ARRUDA, J. R. F.; SAS, P; MOENS, D; VANDEWALLE, A. Uncertainty analysis in vibroacoustic panels with band gap. PROCEEDINGS OF ISMA2016 INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING AND USD2016 INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS, v. N/A, p. 13-pg., 2016-01-01. (15/15718-0, 14/19054-6)

FABRO, A. T.; BELI, D.; ARRUDA, J. R. F.; FERGUSON, N. S.; MACE, B. R.; SAS, P; MOENS, D; VANDEWALLE, A. Uncertainty analysis of band gaps for beams with periodically distributed resonators produced by additive manufacturing. PROCEEDINGS OF ISMA2016 INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING AND USD2016 INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS, v. N/A, p. 12-pg., 2016-01-01. (15/15718-0, 14/19054-6)

ASSIS, G. F. C. A.; MIRANDA, E. J. P., JR.; BELI, D.; CAMINO, J. F.; DOS SANTOS, J. M. C.; ARRUDA, J. R. F.; DESMET, W; PLUYMERS, B; MOENS, D; ROTTIERS, W. Computing the dispersion diagramand the forced response of periodic elastic structures using a state-space formulation. PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2018) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2018), v. N/A, p. 12-pg., 2018-01-01. (14/19054-6)

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 (UNICAMP). Faculdade de Engenharia Mecânica Campinas, SP.