Widening, transition and coalescence of local resonance band gaps in multi-resonator acoustic metamaterials: From unit cells to finite chains

A Stein, M Nouh, T Singh - Journal of Sound and Vibration, 2022 - Elsevier
Local resonance band gaps in acoustic metamaterials are widely known for their strong
attenuation yet narrow frequency span. The latter limits the practical ability to implement …

Finite element modal analysis of wave propagation in homogeneous and periodic waveguides

SV Sorokin, PH Broberg, MT Steffensen… - International Journal of …, 2022 - Elsevier
In this paper, we demonstrate how conventional finite element modal analysis of a slice of
an infinite homogeneous or periodic waveguide provides essential information on its …

On the control of the first Bragg band gap in periodic continuously corrugated beam for flexural vibration

A Pelat, T Gallot, F Gautier - Journal of Sound and Vibration, 2019 - Elsevier
This work aims to provide better physical understanding of Bragg band gap effects in
continuously periodic corrugated beams for flexural waves. The main outcome is the …

Material vs. structure: Topological origins of band-gap truncation resonances in periodic structures

MIN Rosa, BL Davis, L Liu, M Ruzzene… - Physical Review Materials, 2023 - APS
The distinction and correlation between intrinsic and boundary-induced properties represent
a core problem in material physics. While resonant modes do not exist within band gaps in …

Formation of local resonance band gaps in finite acoustic metamaterials: A closed-form transfer function model

H Al Ba'ba'a, M Nouh, T Singh - Journal of Sound and Vibration, 2017 - Elsevier
The objective of this paper is to use transfer functions to comprehend the formation of band
gaps in locally resonant acoustic metamaterials. Identifying a recursive approach for any …

Theory of Truncation Resonances in Continuum Rod‐Based Phononic Crystals with Generally Asymmetric Unit Cells

HB Al Ba'ba'a, CL Willey, VW Chen… - Advanced Theory …, 2023 - Wiley Online Library
Phononic crystals exhibit Bragg bandgaps, frequency regions within which wave
propagation is forbidden. In solid continua, bandgaps are the outcome of destructive …

Influence of boundary conditions on the stop band effect in finite locally resonant metamaterial beams

L Sangiuliano, C Claeys, E Deckers… - Journal of Sound and …, 2020 - Elsevier
This paper investigates the influence of the boundary conditions on the stop band effect in
finite locally resonant metamaterial beams. In a first step, a Timoshenko beam with tuned …

A homogenized model for free vibration analysis of finite phononic crystal rods using strain gradient theory

J Lou, H Fan, O Zhao, J Du - Engineering Structures, 2024 - Elsevier
While extensive research has been conducted on elastic wave propagation in infinite
phononic crystal (PC) rods, practical applications often involve PC rods of finite length …

Design of elastic metamaterials with ultra-wide low-frequency stopbands via quantitative local resonance analysis

M Zhang, C Hu, C Yin, QH Qin, J Wang - Thin-Walled Structures, 2021 - Elsevier
Elastic metamaterials (EMMs) with engineered bandgaps have numerous applications in
medical, transport, and aerospace domains due to their extraordinary performance in …

[HTML][HTML] Closed-form existence conditions for bandgap resonances in a finite periodic chain under general boundary conditions

MV Bastawrous, MI Hussein - The Journal of the Acoustical Society of …, 2022 - pubs.aip.org
Bragg scattering in periodic media generates bandgaps, frequency bands where waves
attenuate rather than propagate. Yet, a finite periodic structure may exhibit resonance …