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dc.contributor.authorGorshkov, V N
dc.contributor.authorSareh, P
dc.contributor.authorNavadeh, N
dc.contributor.authorTereshchuk, V V
dc.contributor.authorSoleiman Fallah, Arash
dc.identifier.citationGorshkov, V.N., Sareh, P., Navadeh, N., Tereshchuk, V.V. & Fallah, A.S. (2021). Multi-resonator metamaterials as multi-band metastructures. Materials & design, 202(109522). doi:
dc.description.abstractIntroducing multi-resonator microstructure into phononic metamaterials provides more flexibility in bandgap manipulation. In this work, 3D-acoustic metamaterials of the body- and face-centered cubic lattice systems encompassing nodal isotropic multivibrators are investigated. Our main results are: (1) the number of bandgaps equals the number, n, of internal masses as each bandgap is a result of the classical analog of the quantum level-repulsion mechanism between internal and external oscillations, and (2) the upper boundary frequencies, ωupper 2 i , i = 1, 2, ⋯, n, of the gaps formed coincide with eigen-frequencies, ωint;i 2 ≠ 0, of the isolated multivibrator, ωupper2 ;i= ωint; i 2 , and the lower boundary frequencies, ωlower 2, i 2 , are in good agreement with estimations as ω2 lower,i ≈ωb 2 int;i (ω2 lower,i <ωb 2 int;i), where ωb 2 int;i represent the eigen-frequencies of the multivibrator when its external shell is motionless. The morphologies of the set of dispersion surfaces, ωm 2 (k), m = 1, 2, …, 6, in the corresponding passbands are similar to each other and to that of the set of dispersion surfaces, ωext; m 2 (k), obtained through the exclusion of internal masses. Thus, the problem of analyzing the acoustic properties of the complicated system is reduced to the study of two simple sets {ωint; i 2 } and ωb 2 int;i n o, along with {ωext; m 2 (k)}, the morphology of which depends only on the type of lattice symmetry. This splitting renders controlled phononic bandgaps formation in homogeneous multi-resonator metamaterials feasible.en
dc.relation.ispartofseriesMaterials & design;Volume 202, 109522
dc.rightsCreative Commons Attribution 4.0 International (CC BY 4.0) Licenseen
dc.subjectPhononic metamaterialsen
dc.subjectAcoustic modesen
dc.subjectOptic modesen
dc.subjectDispersion surfacesen
dc.titleMulti-resonator metamaterials as multi-band metastructuresen
dc.typeJournal articleen
dc.typePeer revieweden
dc.source.journalMaterials & design

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