Flexural wave mitigation in metamaterial cylindrical curved shells with periodic graded arrays of multi-resonator

Yao, Dunhui; Xiong, Maokun; Luo, Jinyu; Yao, Lingyun

doi:10.1016/j.ymssp.2021.108721

Cited by 39 publications

(5 citation statements)

References 45 publications

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“…Subsequently, we conducted a detailed evaluation of the static and dynamic characteristics of positive or negative Poisson's ratio models to offer a theoretical basis and technical guidance for the external structural design in marine applications, as illustrated in figure 1. Here, we opted to use plates instead of shells for the subsequent analysis due to the relatively small size of the designed models [36,37]. It was noteworthy that the comparative evaluation of the complete static and dynamic properties of conventional honeycomb structures and relevant metamaterials had rarely been reported previously.…”

Section: Introductionmentioning

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: Introductionmentioning

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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“…The band-gap analysis methods of metamaterial structures mainly include the plane wave expansion method [ 31 , 32 ], the transfer matrix method [ 33 , 34 ], the spectral element method (SEM) [ 35 , 36 , 37 ] and the finite element method (FEM) [ 38 , 39 , 40 ]. The plane wave expansion method is not suitable for processing three-dimensional (3D) structures and the calculation results are not easy to converge.…”

Section: Introductionmentioning

confidence: 99%

A Finite/Spectral Element Hybrid Method for Modeling and Band-Gap Characterization of Metamaterial Sandwich Plates

Linzhongyang

et al. 2023

Materials

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In this study, elastic metamaterial sandwich plates with axially deformed Timoshenko beam cores, considering both the out-of-plane and in-plane deformations of the face plates, are designed and the vibration band-gap properties are explored. The beam cores act as local resonators that can bear axial force, bending moment and shearing force. The finite element method (FEM) and the spectral element method (SEM) are combined to create the finite/spectral element hybrid method (FE-SEHM) for establishing the dynamic model and calculating the frequency response functions (FRFs) of the elastic metamaterial sandwich plate with axially deformed beam cores. It is observed that the metamaterial sandwich plate possesses both the axial and transverse vibration band-gaps of the beams, and the two kinds of band-gaps are independent. Compared with the metamaterial sandwich plates with rod cores, those with axially deformed beam cores have more extensive application ranges for vibration reduction.

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“…In acoustic metamaterial design, a flat host structure is a common type of structure in engineering applications. Many researchers focus on metamaterials with a flat host structure, such as acoustic metamaterial beams [16][17][18] and plates [19,20]. However, the range of applications of complete beams and plates in engineering is narrower than that of cylindrical shell structures.…”

Section: Introductionmentioning

confidence: 99%

A metamaterial cylindrical shell with multiple graded resonators for broadband longitudinal wave attenuation

Yao

et al. 2023

Front. Phys.

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This paper investigates a metamaterial cylindrical shell with local resonators for broadband longitudinal wave attenuation. A three-component phononic crystal metamaterial cylindrical shell that opens local resonant bandgaps at low frequencies is formed by periodically inserting a lead column coated with soft rubber into an ordinary cylindrical shell. First, the governing equations of elastic wave propagation in cylindrical shell structures are derived through coordinate transformation. Subsequently, numerical models of the metamaterial cylindrical shell are established, and the dispersion relation and vibration transmission characteristics of this structure are calculated using the Finite Element Method (FEM). Finally, in order to further broaden the bandgaps and the strong suppression range of the structure, a multiple-graded-resonator metamaterial cylindrical shell with three different local resonators is also proposed. These local resonators have different start frequencies and locations of their longitudinal wave bandgaps, so they can be combined to produce a wider overall bandgap. Numerical results show that this kind of multiple-graded-resonator metamaterial cylindrical shell has a good vibration suppression effect on longitudinal waves in the range of approximately 180–710 Hz and the vibration suppression effect can reach −40 dB at best. In addition, experimental results on vibration transmission characteristics show good agreement with the numerical results. This work provides a new idea and method for the development of acoustic metamaterials to obtain broadband and low-frequency bandgaps for cylindrical shell structures.

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Flexural wave mitigation in metamaterial cylindrical curved shells with periodic graded arrays of multi-resonator

Cited by 39 publications

References 45 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

A Finite/Spectral Element Hybrid Method for Modeling and Band-Gap Characterization of Metamaterial Sandwich Plates

A metamaterial cylindrical shell with multiple graded resonators for broadband longitudinal wave attenuation

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