Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Cajić, Milan; Karličić, Danilo; Christensen, Johan; Adhikari, Sondipon

doi:10.1016/j.jsv.2022.117326

Cited by 6 publications

(1 citation statement)

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“…Note that, unlike the classical mass-spring chains, the lattice with inerter elements with both NN and BNN couplings possesses out-of-diagonal elements in the mass matrix, which should be considered when obtaining the dispersion relations and topological invariants. 31 In the following analysis, we will assume the lattice constant as d ¼ 1 and solve the above eigenvalue problem to evaluate the dispersion and topological properties of the corresponding lattice system.…”

Section: System Formulation and Equation Of Motionmentioning

confidence: 99%

Inerter-controlled topological interface states in locally resonant lattices with beyond-nearest neighbor coupling

Cajić,

Karličić,

Adhikari

2024

Journal of Applied Physics

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This paper explores the emergence of topological interface states in one-dimensional locally resonant lattices incorporating inerters in both nearest neighbor (NN) and beyond-nearest neighbor (BNN) coupling. The investigation focuses on the unique wave propagation characteristics of these lattices, particularly the presence and behavior of interface states. The non-trivial topological behavior due to broken inversion symmetry within the unit cell of the locally resonant lattice is comprehensively investigated in the presence of inerters in NN and BNN coupling. The emerging interface states in the supercell analysis exhibit specific spatial and frequency localization properties due to inerter-based BNN interactions. Additionally, the study demonstrates the ability of inerter elements with weak inertance to control the frequency of interface states while maintaining the fundamental topological properties of the lattice. The identified topological interface states in lattices with BNN coupling present an opportunity for designing diverse devices, such as waveguides, filters, sensors, and energy harvesting systems. Overall, this research enhances our comprehension of topological phenomena in inerter-based locally resonant lattices with BNN interactions and introduces possibilities for creating robust and versatile devices based on topologically protected edge/interface states.

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Section: System Formulation and Equation Of Motionmentioning

confidence: 99%