Tunable band topology in gyroscopic lattices

Mitchell, Noah P.; Nash, Lisa M.; Irvine, William T. M.

doi:10.1103/physrevb.98.174301

Cited by 40 publications

(32 citation statements)

References 26 publications

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“…Part II of this thesis, which is based on references [45,46,47], examines topological mechanics of gyroscopic networks. Chapter 4 describes the experimental system used and introduces a mechanism to drive a topological phase transition in real time.…”

Section: Scope Of This Thesismentioning

confidence: 99%

Geometric Control of Fracture and Topological Metamaterials

Mitchell¹

2020

Springer Theses

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Section: Scope Of This Thesismentioning

confidence: 99%

Geometric Control of Fracture and Topological Metamaterials

Mitchell¹

2020

Springer Theses

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“…This type of metamaterial can be utilized to force waves to propagate along a line, whose direction is defined by the geometry of the medium (Carta et al, 2017). Gyroscopic spinners can also be employed to design topological insulators, where waves travel in one direction and are immune to backscattering (Nash et al, 2015;Süsstrunk and Huber, 2015;Wang et al, 2015;Garau et al, 2018;Lee et al, 2018;Mitchell et al, 2018;Carta et al, 2019;Garau et al, 2019;Carta et al, 2020). Furthermore, systems with gyroscopic spinners can be used to design coatings to hide the presence of objects in a continuous or discrete medium (Brun et al, 2012;Garau et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects

et al. 2021

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We discuss the propagation of Rayleigh waves at the boundary of a semi-infinite elastic lattice connected to a system of gyroscopic spinners. We present the derivation of the analytical solution of the equations governing the system when the lattice is subjected to a force acting on the boundary. We show that the analytical results are in excellent agreement with the outcomes of independent finite element simulations. In addition, we investigate the influence of the load direction, frequency and gyroscopic properties of the model on the dynamic behavior of the micro-structured medium. The main result is that the response of the forced discrete system is not symmetric with respect to the point of application of the force when the effect of the gyroscopic spinners is taken into account. Accordingly, the gyroscopic lattice represents an important example of a non-reciprocal medium. Hence, it can be used in practical applications to split the energy coming from an external source into different contributions, propagating in different directions.

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“…This concern for the spectral architecture has motivated studies on the formation and tunability of band gaps in disordered photonic systems, that have recently also been incorporating hyperuniform point distributions that display peculiar behavior in Fourier space and their resulting structure factor [17][18][19]. Previous studies addressing phononic or acoustic band gaps in discrete elastic systems have largely focused on ordered or quasi-periodic systems [20][21][22][23], with far less attention paid to spectral gaps of disordered solids [24].…”

Section: Introductionmentioning

confidence: 99%

Designing Phononic Band Gaps With Sticky Potentials

et al. 2021

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Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic meta-materials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these gaps often require a high degree of network specificity through complex control optimization procedures. In this work, we present as an additional tool to the existing repertoire, a numerical scheme that rapidly generates sizeable spectral gaps in absence of any fine tuning of the network structure or elastic parameters. These gaps occur even in disordered polydisperse systems consisting of relatively few particles (N ~ 102 − 103). Our proposed procedure exploits sticky potentials that have recently been shown to suppress the formation of soft modes, thus effectively recovering the linear elastic regime where band structures appear, at much shorter length scales than in conventional models of disordered solids. Our approach is relevant to design and realization of gapped spectra in a variety of physical setups ranging from colloidal suspensions to 3D-printed elastic networks.

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Tunable band topology in gyroscopic lattices

Cited by 40 publications

References 26 publications

Geometric Control of Fracture and Topological Metamaterials

Geometric Control of Fracture and Topological Metamaterials

Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects

Designing Phononic Band Gaps With Sticky Potentials

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