Direct observation of edge modes in zigzag granular chains

Zheng, Li-Yang; Qu, Shilin; Allein, Florian; Thréard, Théo; Gusev, Vitalyi; Tournat, Vincent; Theocharis, G.

doi:10.1016/j.jsv.2022.116761

Journal of Sound and Vibration

2022

DOI: 10.1016/j.jsv.2022.116761

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Direct observation of edge modes in zigzag granular chains

Li-Yang Zheng

Shilin Qu

Florian Allein

et al.

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Cited by 2 publications

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“…We note that our spring-mass lattice is quite different from the granular phononic crystals [47,48,53,60]. In the latter, finite-size granular particles are interacting by means of normal, shear, and bending contact rigidities, and both rotational and translational DOFs contribute to the form of Rayleigh type or other type of edge waves, depending on the boundary conditions.…”

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confidence: 96%

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Higher-order topological insulator in a spring-mass system

Zhang

Mei

2023

EPL

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Higher-order topological insulators (HOTIs) have attracted much attention in various fields in recent years. In this work, we propose a two-dimensional (2D) square lattice spring-mass model, where restoring forces between nearest neighbors can be induced by either longitudinal or transverse vibrations. Edge states exist on the interface between topological nontrivial and trivial lattices, and two different types of corner states are identified. The proposed spring-mass model has plenty degrees of freedoms (DOFs), including both longitudinal and transverse spring constants as well as the mass of each particle. It turns out that edge and corner states with flexible spatial distributions can be realized by slightly tuning the elastic and inertial parameters. A lot of interesting topological patterns such as edge states along 4, 2, or only 1 edge, and second-order corner states around 4, 2, or 1 corner are unambiguously demonstrated. Our work provides an easy-to-tune platform to realize HOTIs, which is useful when multipole bulk polarizations or negative couplings are absent or difficult to realize. Classical spring-mass models governed by the Newton’s laws also have the advantage of superior controllability and feasible experimental implementability.

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confidence: 96%

“…Topological modes protected by chiral and twofold rotational symmetry were realized in a Lieb lattice structure [52]. Linear wave dynamics and edge modes were studied in 1D zigzag granular chains [53]. In addition, the higher-order topological phase was studied on a breathing kagome spring-mass lattice [27], which has a C 3 symmetry.…”

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confidence: 99%

Higher-order topological insulator in a spring-mass system

Zhang

Mei

2023

EPL

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Sub-preferential rotational wave beaming in structurally rhombus re-entrant honeycombs

Zhu,

Deng

2024

International Journal of Solids and Structures

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Direct observation of edge modes in zigzag granular chains

Cited by 2 publications

References 30 publications

Higher-order topological insulator in a spring-mass system

Higher-order topological insulator in a spring-mass system

Sub-preferential rotational wave beaming in structurally rhombus re-entrant honeycombs

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