2022
DOI: 10.1016/j.eml.2022.101885
|View full text |Cite
|
Sign up to set email alerts
|

Multifield nested metafilters for wave propagation control

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
1
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
7

Relationship

2
5

Authors

Journals

citations
Cited by 10 publications
(6 citation statements)
references
References 91 publications
0
1
0
Order By: Relevance
“…denote the invariants concerning the longitudinal (ψ = L) and transverse waves (ψ = T). According to the methodology exposed in Fantoni et al [70], the limit values of the invariants I 1 ψ , related to the identification of pass bands, fall within −2 ≤ I 1 ψ ≤ 2.…”
Section: (A) Bloch Wave Propagationmentioning
confidence: 99%
See 3 more Smart Citations
“…denote the invariants concerning the longitudinal (ψ = L) and transverse waves (ψ = T). According to the methodology exposed in Fantoni et al [70], the limit values of the invariants I 1 ψ , related to the identification of pass bands, fall within −2 ≤ I 1 ψ ≤ 2.…”
Section: (A) Bloch Wave Propagationmentioning
confidence: 99%
“…In such a case, they lie out of the unit circle by indicating the presence of a stop band. The spectral effects of transverse elastic waves can be analysed by establishing the transmission coefficient, denoted as c t = − 20log [70,82,83]. This study is illustrated in figure 3 that focuses on the transverse displacement with respect to the dimensionless angular frequency for the cases of S 2 = BAA in figure 3a, 3b and S 4 = BAABBBAABAA in figure 3c by growing up the number of generations as one (red curves), 40 (green curves) and 50 (orange curves), with fixed parameters r C = r ρ = 2 and η = 1.…”
Section: Representative Examplesmentioning
confidence: 99%
See 2 more Smart Citations
“…More specifically, for each dimensionless angular frequency and for a given complex multiplier , with , the eigenvalue , with and , as well as the eigenvector (for , where M is the eigen-problem dimension) are determined. Then, the frequency spectrum is finally determined exploiting the mapping 32 39 . Based on the obtained frequency spectra, the relative band gap between the h -th and q -th (consecutive) dispersion functions with can be evaluated by solving the -parametrized generalized eigen-problem in ( 1 ) as …”
Section: Dispersion Properties For Elastic Periodic Metafiltersmentioning
confidence: 99%