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On the robustness of topological interface modes on rod phononic crystals

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Autor(es):
Ribeiro, Luiz Henrique M. S. ; Beli, Danilo ; Claeys, Claus ; Chronopoulos, Dimitrios ; Arruda, Jose Roberto F.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 237, p. 44-pg., 2025-07-15.
Resumo

Topological interface modes in elastic one-dimensional phononic crystals emerge when crystals with different topological characteristics are connected. These modes enable efficient vibration localization and waveguiding, with applications in vibration energy harvesting, wave sensing, and vibration isolation. The term 'topological' refers to the mathematical theory used to classify crystals into groups based on topological invariants. A topological mode arising at the interface of two crystals with different topological invariants is considered robust against defects and variability, provided the variability does not alter the topological invariants. However, statistical experimental validation of this robustness in engineering applications remains scarce. The variability introduced by the manufacturing process must be considered in designs intended for large-scale applications. In this study, a finite phononic structure exhibiting two interface topological modes at relatively low frequencies is designed. The structure consists of a nylon host with bolt sets acting as lumped masses at low frequencies. We analyze how the natural frequencies of the topological modes, their kinetic energy distribution along the phononic structure, and energy concentration at the interface change under different types and levels of variability. The results indicate that, for the same phononic structure and variability level, higher-frequency topological interface modes are less robust than lower-frequency ones. Additionally, both simulations and experiments show that increased variability in the bolt set masses alters the deterministic behavior of the topological phononic structures. When variability reaches levels that modify the topological invariant near the original interface location, the topological nature of the modes can be lost. Thus, although topological modes are theoretically robust against defects and variability, numerical simulations and experiments are necessary to verify whether topological behavior is preserved under different spatial variability levels and manufacturing defects. (AU)

Processo FAPESP: 19/00315-8 - Incertezas e sua influência no comportamento de guias de ondas mecânicas
Beneficiário:Luiz Henrique Marra da Silva Ribeiro
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 20/15328-5 - Manufaturando com incertezas e suas influências no comportamento de bandgaps de estruturas de pórticos tridimensionais: uma abordagem com validação experimental utilizando otimização robusta
Beneficiário:Luiz Henrique Marra da Silva Ribeiro
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
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