On the wave dispersion and non-reciprocal power flow in space-time traveling acoustic metamaterials
arXiv:1710.03689 · doi:10.1016/j.apacoust.2017.12.028
Abstract
This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and the resonant components are derived. It is shown that the resultant dispersion bias onsets intriguing features culminating in a break-up of both acoustic and optic propagation modes and one-way local resonance band gaps. The derived band structures are validated using the full transient displacement response of a finite metamaterial. A mathematical framework is presented to characterize power flow in the modulated acoustic metamaterials to quantify energy transmission patterns associated with the non-reciprocal response. Since local resonance band gaps are size-independent and frequency tunable, the outcome enables the synthesis of a new class of sub-wavelength low-frequency one-way wave guides.
References in corpus (5)
- Static non-reciprocity in mechanical metamaterials
- Non-Reciprocal Wave Propagation in Spatiotemporal Periodic Structures
- Manipulating waves by distilling frequencies: a tunable shunt-enabled rainbow trap
- One-way Phonon Isolation In Acoustic Waveguides
- A Bloch-based procedure for dispersion analysis of lattices with periodic time-varying properties
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- Non-reciprocal Wave Phenomena in Energy Self-reliant Gyric Metamaterials
- Generalized Analysis of Elastic Wave Dispersion Asymmetries in Moving Periodic Media
- Frequency Selective Wave Beaming in Nonreciprocal Acoustic Phased Arrays
- Complex Spatiotemporal Modulations and Non-Hermitian Degeneracies in -Symmetric Phononic Materials
- Non-dispersive one-way signal amplification in sonic metamaterials
- Time-modulated inerters as building blocks for nonreciprocal mechanical devices
- Band-gap tuning in 2D spatiotemporal phononic crystals
- Brillouin-zone definition in non-reciprocal Willis monatomic lattices