| Texto completo | |
| Autor(es): |
Ferreira, A. H. R.
;
Miranda Jr, E. J. P.
;
Goto, A. M.
;
Dos Santos, J. M. C.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 244, p. 33-pg., 2025-12-26. |
| Resumo | |
The attenuation of low-frequency flexural waves represents a persistent challenge in structural engineering, requiring innovative solutions that balance efficiency, compactness, and weight constraints. This study presents the first systematic comparative analysis investigating the combined influence of lattice geometry and local resonator frequency on band gap formation in thin Kirchhoff-Love plates across five distinct periodic configurations. The primary objective is to establish quantitative design guidelines for optimal lattice-resonator arrangements in the critical low-frequency range for aerospace, automotive, and civil engineering applications. Semi-analytical Plane Wave Expansion (PWE) and Extended Plane Wave Expansion (EPWE) methods systematically analyze 15 resonator frequencies 10-150 [Hz] across square, rectangular, triangular, honeycomb, and kagom & eacute; lattice configurations. Finite Element Method (FEM) receptance analysis over the extended range 1-200 [Hz] validates theoretical predictions and quantifies vibration attenuation across complete structural response. The semi-analytical approach demonstrates computational efficiency improvements exceeding 1800x while maintaining accuracy within 5% of numerical predictions. Quantitative analysis reveals distinct performance hierarchies among the five lattice configurations. Infinite-plate analysis shows triangular lattices achieve 35% superior relative bandwidth (42.51% vs 31.40% for square) and 73% greater absolute bandwidth (55.40 [Hz] vs 32.10 [Hz]), while finite-plate validation confirms kagom & eacute; exceptional low-frequency attenuation (up to-293 [dB]) and honeycomb balanced dual-band performance. Multi-resonator systems (honeycomb, kagom & eacute;) exhibit two distinct complete band gaps from in-phase and anti-phase coupling modes, contrasting with single-resonator lattices' single band gap behavior. Bandwidth evolution analysis across all five geometries establishes frequency-dependent performance maps for design optimization. Bandwidth analysis employs infinite unit cell predictions from PWE/EPWE formulations. Finite plates exhibit bandwidth expansion beyond infinite domain predictions due to boundary-induced mode coupling. The research establishes quantitative performance hierarchies and provides systematic design guidelines for metamaterial plate optimization. This framework bridges theoretical band gap predictions with practical finite plate performance, enabling next-generation lightweight vibration isolation systems. (AU) | |
| Processo FAPESP: | 18/15894-0 - Projeto e otimização de estruturas periódicas para aprimoramento de desempenho vibroacústico |
| Beneficiário: | Carlos de Marqui Junior |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |