Time-Periodic Stiffness Modulation in Elastic Metamaterials for Selective Wave Filtering: Theory and Experiment.

@article{Trainiti2019TimePeriodicSM,
  title={Time-Periodic Stiffness Modulation in Elastic Metamaterials for Selective Wave Filtering: Theory and Experiment.},
  author={G. Trainiti and Yiwei Xia and J. Marconi and Gabriele Cazzulani and Alper Erturk and Massimo Ruzzene},
  journal={Physical review letters},
  year={2019},
  volume={122 12},
  pages={
          124301
        }
}
Elastic waveguides with time-modulated stiffness feature a frequency-periodic dispersion spectrum, where branches merge at multiple integers of half the modulation frequency and over a finite wave number range. In this range, frequency becomes complex, with its real part remaining constant. The vanishing group velocity associated with these flat bands leads to frequency-selective reflection at an interface between a nonmodulated medium and a time-modulated one, which converts a broadband input… 

Figures from this paper

Nonreciprocal vibrations of finite elastic structures with spatiotemporally modulated material properties

Elastic waveguides with time- and space-dependent material properties have received great attention as a means to realize nonreciprocal propagation of small-amplitude mechanical waves in unbounded

Dynamics of Time-Modulated, Nonlinear Phononic Lattices

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous media can exhibit different phenomena when compared to traditional spatially-varying, temporally-homogeneous media.

Non-reciprocal behavior of one-dimensional piezoelectric structures with space-time modulated electrical boundary conditions

Propagation of longitudinal acoustic waves in a one-dimensional piezoelectric structure with space-time modulated electrical boundary conditions is investigated. An analytical model allowing the

Non-Reciprocal Metamaterials With Simultaneously Time-Varying Stiffness and Mass

A modulated metamaterial that exhibits both time-periodic stiffness and mass simultaneously is presented. The metamaterial element includes a primary body that undergoes infinitesimal motion, and is

Elastic Temporal Waveguiding

We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow

Independent Flexural Wave Frequency Conversion by a Linear Active Metalayer.

Wave frequency is a critical parameter for applications ranging from structural health monitoring, noise control, and medical imaging to quantum of energy in matter. Frequency conversion is an

Experimental Observation of Nonreciprocal Band Gaps in a Space-Time-Modulated Beam Using a Shunted Piezoelectric Array

The breaking of reciprocity in elastic wave propagation can be achieved through modulation of stiffness in space and time, which is reflected in asymmetrical Bloch diagrams. Here this principle is

Non-reciprocal wave phenomena in energy self-reliant gyric metamaterials.

In addition to breaking reciprocity, the authors show that the energy content of a frictionless gyric metamaterial is conserved over one temporal modulation cycle enabling it to exhibit a stable response irrespective of the pumping frequency.

Towards altering sound frequency at will by a linear meta-layer with time-varying and quantized properties

Wave frequency is a critical parameter for applications ranging from human hearing, acoustic non-reciprocity, medical imaging to quantum of energy in matter. Frequency alteration holds the promise of
...

References

SHOWING 1-10 OF 50 REFERENCES

Non-reciprocal elastic wave propagation in spatiotemporal periodic structures

We study longitudinal and transverse wave propagation in beams with elastic properties that are periodically varying in space and time. Spatiotemporal modulation of the elastic properties breaks

Design of tunable acoustic metamaterials through periodic arrays of resonant shunted piezos

Periodic shunted piezoelectric patches are employed for the design of a tunable, one-dimensional metamaterial. The configuration considered encompasses a beam undergoing longitudinal and transverse

Brillouin scattering-like effect and non-reciprocal propagation of elastic waves due to spatio-temporal modulation of electrical boundary conditions in piezoelectric media

The properties of a one-dimensional phononic crystal made of identical piezoelectric elements separated by thin metallic electrodes connected to the ground are studied theoretically for cases where

Observation of Nonreciprocal Wave Propagation in a Dynamic Phononic Lattice.

Nonreciprocity in dynamic one-dimensional phononic crystal systems like the one presented here offer opportunities to create phononic diodes that can serve for rectification applications.

Reflection and transmission of a wave incident on a slab with a time-periodic dielectric function {epsilon}(t)

We present a theoretical description of the response of a dynamic slab, with time-periodic dielectric function {epsilon}(t), to a normally incident monochromatic plane wave of frequency {omega}{sub

Nonreciprocal Gain in Non-Hermitian Time-Floquet Systems.

The unconventional wave scattering properties of non-Hermitian time-Floquet systems in which amplification or damping are induced by time-periodic modulation are explored, and the potential of these systems for insertion-loss free microwave isolation and unidirectional parametric amplification is established.

Acoustic asymmetric transmission based on time-dependent dynamical scattering

A new acoustic frequency conversion process in a time-varying system, consisting of a rotating blade and the surrounding air, is demonstrated, resulting in a tunable acoustic unidirectional device with 20 dB power transmission contrast ratio between two counter propagation directions at audible frequencies.

Frequency conversion induced by time-space modulated media

Time-space modulated media are realized by periodically modulating parameters of the media in both time and space. In this paper, we study frequency conversion induced by time-space modulated media.