Amplitude-dependent edge states and discrete breathers in non-linear modulated phononic lattices

@article{Rosa2022AmplitudedependentES,
  title={Amplitude-dependent edge states and discrete breathers in non-linear modulated phononic lattices},
  author={Matheus Inguaggiato Nora Rosa and Michael J. Leamy and Massimo Ruzzene},
  journal={The Journal of the Acoustical Society of America},
  year={2022}
}
We explore the role of non-linearities on the spectral properties of modulated one-dimensional phononic lattices. In the linear regime, a spatial modulation of stiffness is known to produce topological gaps characterized by non-zero Chern numbers, which host topological states localized at the edges of finite domains. A continuation of the linear modes as a function of amplitude is performed, revealing a series of localization and de-localization transitions that are confirmed through direct… 
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References

SHOWING 1-10 OF 65 REFERENCES

Amplitude-dependent topological edge states in nonlinear phononic lattices.

The results of this study provide a theoretical framework for the investigation of nonlinear effects that induce and control topologically protected wave modes through nonlinear interactions and amplitude tuning.

Self-induced topological transitions and edge states supported by nonlinear staggered potentials

The canonical Su-Schrieffer-Heeger (SSH) array is one of the basic geometries that have spurred significant interest in topological band-gap modes. Here, we show that the judicious inclusion of

Self-induced topological transition in phononic crystals by nonlinearity management

A new design paradigm of topology has recently emerged to manipulate the flow of phonons. At its heart lies a topological transition to a nontrivial state with exotic properties. This framework has

Topological bands and localized vibration modes in quasiperiodic beams

We investigate a family of quasiperiodic continuous elastic beams, the topological properties of their vibrational spectra, and their relation to the existence of localized modes. We specifically

Edge States and Topological Pumping in Spatially Modulated Elastic Lattices.

The first demonstration of topological pumping in a continuous elastic system opens new possibilities for its implementation on elastic substrates supporting surface acoustic waves, or to structural components designed to steer waves or isolate vibrations.

Role of nonlinearities in topological protection: Testing magnetically coupled fidget spinners

We investigate and experimentally observe the existence of topologically protected interface modes in a one-dimensional mechanical lattice, and we report on the effect of nonlinearities on

Mechanical Quantum Hall Effect in Time-Modulated Elastic Materials

Floquet topological insulators have inspired analogues in photonics, optics, and acoustics, in which nonreciprocal wave propagation in time-modulated materials is achieved due to the breaking of

Stability of topological edge states under strong nonlinear effects

We examine the role of strong nonlinearity on the topologically robust edge state in a one-dimensional system. We consider a chain inspired from the Su-Schrieffer-Heeger model but with a

Discrete Breathers

Nonlinearity induced topological physics in momentum space and real space

Nonlinearity induced topological properties in nonlinear lattice systems are studied in both momentum space and real space. Experimentally realizable through the Kerr effect on photonic waveguide
...