A bayesian approach for wavenumber identification of metamaterial beams possessing variability
Marcos R. Souza, Danilo Beli, Neil S. Ferguson, Jose Roberto de F. Arruda, Adriano T. Fabro
ARTIGO
Inglês
Agradecimentos: The authors would like to thank the NT3D group from CTI Renato Archer Brazilian Institute (Campinas-SP, Brazil) for manufacturing the metamaterial beam samples through the ProEXP program, and the Nondestructive Testing Laboratory (LabEND) from FEAGRI/UNICAMP for providing the...
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Agradecimentos: The authors would like to thank the NT3D group from CTI Renato Archer Brazilian Institute (Campinas-SP, Brazil) for manufacturing the metamaterial beam samples through the ProEXP program, and the Nondestructive Testing Laboratory (LabEND) from FEAGRI/UNICAMP for providing the ultrasound equipment used to measure the elastic properties of the cube specimens. The authors also grateful to the São Paulo Research Foundation (FAPESP – São Paulo, Brazil), through project numbers 2014/19054-6, 2018/18774-6 and 2018/15894-0, Brazilian National Council of Research CNPq (processes number 420304/2018-5 and 231744/2013-7) the Brazilian Federal District Research Foundation – FAPDF, process number 0193.001507/2017, and the Coordination for the Improvement of Higher Education Personnel (CAPES – Brazil) for the financial support
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Recent developments in additive manufacturing have allowed for a number of innovative designs in elastic metamaterials and phononic crystals used in several applications, including vibration attenuation. Complex geometric patterns that were otherwise very expensive or unpractical to produce are...
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Recent developments in additive manufacturing have allowed for a number of innovative designs in elastic metamaterials and phononic crystals used in several applications, including vibration attenuation. Complex geometric patterns that were otherwise very expensive or unpractical to produce are currently feasible. However, the 3D printing also introduces variability, which can greatly affect the dynamic performance of the metastructure. This work investigates the effects of manufacturing variability on the wavenumber identification of beams with evenly attached resonators, produced from Selective Laser Sintering. A combination of a correlation-based technique and a Bayes framework is proposed to identify the effective wavenumber and the most probable values of some of the design parameters. Typically of interest, for vibration attenuation using metamaterials, are the mass ratio and the resonator natural frequency. For this purpose an analytical model is derived, assuming an infinite number of resonators tuned to the same frequency. These parameters can be highly affected by the manufacturing variability because they are dependent on complex geometrical features of the metastructure. It is shown that the proposed approach can estimate the most likely values of the parameters with less than 4% difference when compared to a benchmark approach; the latter is not only more complex and time demanding, but also based on indirect measurements. Understanding the effects of this variability on the wave propagation represents an important step towards proposing robust designs with respect to the attenuation performance
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FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
2014/19054-6; 2018/18774-6; 2018/15894-0
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
420304/2018-5; 231744/2013-7
FUNDAÇÃO DE APOIO À PESQUISA DO DISTRITO FEDERAL - FAPDF
0193.001507/2017
COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPES
Fechado
A bayesian approach for wavenumber identification of metamaterial beams possessing variability
Marcos R. Souza, Danilo Beli, Neil S. Ferguson, Jose Roberto de F. Arruda, Adriano T. Fabro
A bayesian approach for wavenumber identification of metamaterial beams possessing variability
Marcos R. Souza, Danilo Beli, Neil S. Ferguson, Jose Roberto de F. Arruda, Adriano T. Fabro
Fontes
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Mechanical systems and signal processing Vol. 135 (Jan., 2020), n. art. 106437 |