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Mitigating low-frequency vibration or noise is of vital importance to both human health and mechanical engineering. Two-dimensional phononic crystal (PC) structures were proposed by attaching rubber and metallic cylinders on one or both…

Applied Physics · Physics 2025-06-26 Hao Zhu , Kai Zhao

Phononic crystals exhibit Bragg bandgaps, frequency regions within which wave propagation is forbidden. In solid continua, bandgaps are the outcome of destructive interferences resulting from periodically alternating layers. Under certain…

Applied Physics · Physics 2023-01-16 Hasan B. Al Ba'ba'a , Carson L. Willey , Vincent W. Chen , Abigail T. Juhl , Mostafa Nouh

We study a periodic vibrating string composed of a finite sequence of string segments connected periodically, with each segment characterized by a constant linear mass density. The main purpose is to provide a configuration that can mimic…

We study numerically a discrete, nonlinear lattice, which is formed by a chain of pendula submitted to a harmonic-driving source with constant amplitude and parametrical excitation. A supratransmission phenomenon is obtained after the…

Pattern Formation and Solitons · Physics 2024-01-30 Alain Bertrand Togueu Motcheyo , Masayuki Kimura , Yusuke Doi , Juan F. R. Archilla

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

Bandgaps, or frequency ranges of forbidden wave propagation, are a hallmark of Phononic Crystals (PnCs). Unlike their lattice counterparts, PnCs taking the form of continuous structures exhibit an infinite number of bandgaps of varying…

Materials Science · Physics 2023-10-16 Hasan B. Al Ba'ba'a , Mostafa Nouh

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

Adaptation and Self-Organizing Systems · Physics 2022-02-01 Ria Ghosh , Shakti N. Menon

The band gap, a key concept in solid-state physics, is traditionally explained by the Bragg diffraction of electron waves in the periodic potential of a crystal. Although widely accepted, this framework raises fundamental issues in…

Materials Science · Physics 2025-08-28 Koichi Kajiyama

Wave motion in a continuous elastic rod with a periodically attached inertial-amplification mechanism is investigated. The mechanism has properties similar to an "inerter" typically used in vehicle suspensions, however here it is…

Other Condensed Matter · Physics 2021-09-01 Niels M. M. Frandsen , Osama R. Bilal , Jakob S. Jensen , Mahmoud I. Hussein

Research into properties of heterogeneous artificial materials, consisting of arrangements of rigid scatterers embedded in a medium with different elastic properties, has been intense throughout last two decades. The capability to prevent…

Bragg scattering in periodic media generates band gaps, frequency bands where waves attenuate rather than propagate. Yet, a finite periodic structure may exhibit resonance frequencies within these band gaps. This is caused by boundary…

Classical Physics · Physics 2023-12-19 Mary V. Bastawrous , Mahmoud I. Hussein

The possibility of realizing an electrostatically induced phononic crystal is investigated numerically in an acoustic waveguide based on a graphene sheet that is suspended over periodically arrayed electrodes. The application of dc voltage…

Mesoscale and Nanoscale Physics · Physics 2019-02-28 Daiki Hatanaka , Adrian Bachtold , Hiroshi Yamaguchi

Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on { a nematic monolayer of} attractive…

Soft Condensed Matter · Physics 2021-07-07 Qun-Li Lei , Wei Zheng , Feng Tang , Xiangang Wan , Ran Ni , Yuqiang Ma

Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these…

Soft Condensed Matter · Physics 2021-03-19 Yuanjian Zheng , Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

Cellular materials not only show interesting static properties but can also be used to manipulate dynamic mechanical waves. In this contribution, the existence of phononic band gaps in periodic cellular structures is experimentally shown…

Materials Science · Physics 2017-10-05 Maximilian Wormser , Franziska Warmuth , Carolin Körner

We study the formation of frequency band gaps in single column woodpile phononic crystals composed of orthogonally stacked slender cylinders. We focus on investigating the effect of the cylinders local vibrations on the dispersion of…

Materials Science · Physics 2015-06-19 Eunho Kim , Jinkyu Yang

We report about the effect of an applied external mechanical load on a periodic structure exhibiting band gaps induced by inertial amplification mechanism. If compared to the cases of Bragg scattering and ordinary local resonant…

Applied Physics · Physics 2021-09-10 M. Miniaci , M. Mazzotti , A. Amendola , F. Fraternali

The phenomenon of selective diffraction is extended to in-plane elastic waves and we design surface corrugated periodic laminates that incorporate crystal momentum transfer which, due to the rich physics embedded within the vector elastic…

Applied Physics · Physics 2021-02-24 Gregory J. Chaplain , Richard V. Craster

Inspired by the experimental results of Cuevas et al. (Physical Review Letters 102, 224101 (2009)), we consider theoretically the behavior of a chain of planar rigid pendulums suspended in a uniform gravitational field and subjected to a…

Pattern Formation and Solitons · Physics 2015-06-22 Y. Xu , T. J. Alexander , H. Sidhu , P. G. Kevrekidis

Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

Materials Science · Physics 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott
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