Pulse propagation in a linear and nonlinear diatomic periodic chain: effects of acoustic frequency band-gap
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In this article, the relevance of the acoustic band gap on the transformation of single and multiple pulses in linear, nonlinear and strongly nonlinear regimes is investigated with numerical calculations and experiments.Abstract:
One-dimensional nonlinear phononic crystals have been assembled from periodic diatomic chains of stainless steel cylinders alternated with Polytetrafluoroethylene spheres. This system allows dramatic changes of behavior (from linear to strongly nonlinear) by application of compressive forces practically without changes of geometry of the system. The relevance of classical acoustic band-gap, characteristic for chain with linear interaction forces and derived from the dispersion relation of the linearized system, on the transformation of single and multiple pulses in linear, nonlinear and strongly nonlinear regimes are investigated with numerical calculations and experiments. The limiting frequencies of the acoustic band-gap for investigated system with given precompression force are within the audible frequency range (20–20,000 Hz) and can be tuned by varying the particle’s material properties, mass and initial compression. In the linear elastic chain the presence of the acoustic band-gap was apparent through fast transformation of incoming pulses within very short distances from the chain entrance. It is interesting that pulses with relatively large amplitude (nonlinear elastic chain) exhibit qualitatively similar behavior indicating relevance of the acoustic band gap also for transformation of nonlinear signals. The effects of an in situ band-gap created by a mean dynamic compression are observed in the strongly nonlinear wave regime.read more
Citations
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Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook
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Bifurcation-based acoustic switching and rectification
TL;DR: A new mechanism for tunable rectification that uses bifurcations and chaos is demonstrated and envisage this mechanism to enable the design of advanced photonic, thermal and acoustic materials and devices.
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Tunable and Active Phononic Crystals and Metamaterials
TL;DR: In this article, a survey of tunable and active phononic crystals and metamaterials is presented, including bandgap and bandgap engineering, anomalous behaviors of wave propagation, as well as tunable manipulation of waves based on different regulation mechanisms: tunable mechanical reconfiguration and materials with multifield coupling.
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Discrete Breathers in One-Dimensional Diatomic Granular Crystals
Nicholas Boechler,Georgios Theocharis,Georgios Theocharis,Stéphane Job,Panayotis G. Kevrekidis,Mason A. Porter,Chiara Daraio +6 more
TL;DR: The experimental observation of modulational instability and discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian contact leads to the dynamical formation of long-lived breather structures.
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Granular acoustic switches and logic elements
Feng Li,Feng Li,Paul Anzel,Paul Anzel,Jinkyu Yang,Panayotis G. Kevrekidis,Chiara Daraio,Chiara Daraio +7 more
TL;DR: This work proposes and demonstrates an acoustic switch based on a driven chain of spherical particles with a nonlinear contact force and realizes the OR and AND acoustic logic elements by exploiting the nonlinear dynamical effects of the granular chain.
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