Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

Garus, Sebastian; Sochacki, Wojciech; Kwiatoń, Paweł; Nabiałek, Marcin; Petrů, Jana; Kubanek, Mariusz

doi:10.24425/bpasts.2023.144609

Cited by 2 publications

(2 citation statements)

References 39 publications

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“…Here, the materials were assumed to be linear elastic, homogeneous and isotropic, where properties were shown in table 1. It was noted that the below values represented typical material properties [38,39].…”

Section: The Geometric Structures and Theoretical Modeling 21 Geometr...mentioning

confidence: 99%

A cylindrical shell comprising multifunctional metamaterial cores with ultra-low frequency vibroacoustic reduction and mechanical performances

Jia,

Yu,

Fang

et al. 2024

Phys. Scr.

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Deep-sea submersible is an important part of oceanic equipment, where special operating environment must require the outer material to have multifunctional properties such as load-bearing, buckling, and vibroacoustic suppression. Here, we proposed a novel metamaterial with excellent mechanical and ultra-low frequency vibroacoustic characteristics as a core material for cylindrical shells used in deep-sea submersibles. Compared to honeycomb materials, the proposed metamaterial utilized the design principles of local resonance theory, incorporating a subwavelength structure periodically embedded within the porous honeycomb structure. This configuration was expected to result in superior static and dynamic properties. Then, we systematically discussed the mechanical and vibroacoustic performance of sandwich cylindrical shells with metamaterial cores, characterized by positive or negative Poisson's ratios, to explore their potential for engineering applications in submerged pressure-resistant structures. The respective unit cells were designed to have equivalent load-bearing capabilities, and simulations were conducted to analyze the physical characteristics related to pressure resistance, buckling, and wave reduction. The results indicated that, compared to conventional honeycomb structures, the metamaterials based on PMMA could safely withstand hydrostatic pressures of nearly 7 MPa, resulting in nearly a twofold increase in structural strength. Additionally, the proposed metamaterials could open bandgaps in an ultra-low frequency range (with the normalized frequency Ω as low as 0.013) and an ultra-wide frequency range (with the bandwidth ratio as high as 83.50%), attributable to the coupling effect of traveling waves and subwavelength units. It is worth noting that the robustness and hydrostatic pressure insensitivity of the metamaterial were demonstrated in the studied hydrostatic pressure range of 0.1 MPa to 5 MPa. This work verified the feasibility of coupling the design between local resonance theory and porous structures, and provided guidance for the multifunctional design of sandwich cylindrical shells.

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Section: The Geometric Structures and Theoretical Modeling 21 Geometr...mentioning

confidence: 99%

A cylindrical shell comprising multifunctional metamaterial cores with ultra-low frequency vibroacoustic reduction and mechanical performances

Jia,

Yu,

Fang

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…These studies have shown the potential of active phononic crystals in controlling the propagation of waves at specific frequencies, offering the possibility of serving as directional mechanical filters. Another area of exploration has focused on understanding how factors such as the filling factor, lattice constant, and the shape and type of meta-atomic material affect the transmission of mechanical waves in quasi-two-dimensional phononic structures [12]. Such investigations provide crucial insights into designing structures with desired wave properties.…”

Section: Introductionmentioning

confidence: 99%

Influence of Meta-Atom Geometry on the Occurrence of Local Resonance Regions in Two-Dimensional Finite Phononic Structures

Garus,

Sochacki,

Garus

et al. 2023

Acta Phys. Pol. A

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In this work, the influence of different cross-sections of meta-atoms and their distribution on the occurrence of local resonance regions in inter-meta-atomic spaces of finite phononic structures was investigated. Software based on the Mathematica package was designed and implemented using the finite difference algorithm in the time domain to simulate mechanical wave propagation in phononic structures. Then, for the recorded time series from the inter-meta-atomic spaces, resonant frequency distributions were determined using Fourier transforms, and an analysis of the differences in frequency distributions depending on the location of the inter-meta-atomic space was carried out. topics: finite-difference time domain (FDTD), discrete Fourier transform (DFT), local resonant regions, phononic structures

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Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

Cited by 2 publications

References 39 publications

A cylindrical shell comprising multifunctional metamaterial cores with ultra-low frequency vibroacoustic reduction and mechanical performances

A cylindrical shell comprising multifunctional metamaterial cores with ultra-low frequency vibroacoustic reduction and mechanical performances

Influence of Meta-Atom Geometry on the Occurrence of Local Resonance Regions in Two-Dimensional Finite Phononic Structures

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