Bandgap engineering of three-dimensional phononic crystals in a simple cubic lattice

Lucklum, Frieder; Vellekoop, Michael J.

doi:10.1063/1.5049663

Cited by 68 publications

(57 citation statements)

References 38 publications

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“…The 3D star structure is arranged as a cubic lattice with lattice constant a, which can be expressed as a =

. Similar to other 3D phononic crystals with ultra-wide band gap [ 38 , 39 ], the 3D star structure also only needs single-phase material. Furthermore, 3D star structure is simpler and lightweight due to the high porosity.…”

Section: Design Of 3d Star Structure and Numerical Calculation Metmentioning

confidence: 99%

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Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

et al. 2020

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Elastic metamaterials have promising applications in wave control and vibration isolation, due to their extraordinary characteristics, e.g., negative Poisson ratio, band gaps, effective negative mass density and effective negative modulus. How to develop new functional metamaterials using a special structure has always been a hot topic in this field. In this study, a three-dimensional (3D) star structure is designed to construct metamaterials with both negative static and dynamic properties. The results show that the 3D star structure formed a wide band gap at lower frequency and had a negative Poisson’s ratio. Different from conventional acoustic metamaterials, the main physical mechanism behind the low-frequency band gap of the 3D star structure is the resonance mode formed by the bending deformation of each rib plate, which made it easier to achieve effective isolation of low-frequency elastic waves with a low mass density. In addition, many structural parameters of the 3D star structure can be modulated to effectively adjust the band gap frequency by changing the angle between the concave nodes and aspect ratio. This study provides a new way to design the 3D acoustic metamaterials and develop the lightweight vibration isolation devices.

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“…The 3D star structure is arranged as a cubic lattice with lattice constant a, which can be expressed as a =

Section: Design Of 3d Star Structure and Numerical Calculation Metmentioning

confidence: 99%

“…In design of the metamaterials with both negative static and dynamic properties, the concave configuration is considered first. To achieve a complete band gap, the unit structure should have a high symmetry such as a simple cubic lattice [ 38 , 39 ]. So, the 3D star structures are chosen to investigate in this paper.…”

Section: Introductionmentioning

confidence: 99%

Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

et al. 2020

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“…Each mass is accompanied by its eight nearest neighbors and connected by the spring. Analytical formulations reveal that the first omnidirectional phononic band gap results from oscillation and interaction among these masses [49][50][51]…”

Section: Wave Propagation Test and Numerical Model Validationmentioning

confidence: 99%

“…Importantly, compared with existing 3D phononic crystals [49,50,[55][56][57][58][59][60], the proposed AHSF only requires a volume fraction of 10.8% while exhibiting a comparable band gap size exceeding 130%. This remarkable lowfrequency band gap feature along with the lightweight design offers a promising approach for low-frequency vibration control, such as ground transportation induced vibrations and low amplitude seismic waves [47,61].…”

Section: Effect Of Stiffness Contrastmentioning

confidence: 99%

3D printed architected hollow sphere foams with low-frequency phononic band gaps

McGee

Jiang

Feng

et al. 2019

Additive Manufacturing

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We experimentally and numerically investigate elastic wave propagation in a class of lightweight architected materials composed of hollow spheres and binders. Elastic wave transmission tests demonstrate the existence of vibration mitigation capability in the proposed architected foams, which is validated against the numerically predicted phononic band gap. We further describe that the phononic band gap properties can be significantly altered through changing hollow sphere thickness and binder size in the architected foams. Importantly, our results indicate that by increasing the stiffness contrast between hollow spheres and binders, the phononic band gaps are broadened and shifted toward a low-frequency range. At the threshold stiffness contrast of 50, the proposed architected foam requires only a volume fraction of 10.8% while exhibiting an omnidirectional band gap size exceeding 130%. The proposed design paradigm and physical mechanisms are robust and applicable to architected foams with other topologies, thus providing new opportunities to design phononic metamaterials for low-frequency vibration control.

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“…These systems have a particular dispersion relation with the presence of band gaps [3]. Recently, with the advent of 3D printing, more complex and efficient designs are allowed [4][5][6][7]. In the particular case of rigid scatterers embedded in a fluid host, the system is known as sonic crystal because they are particularly suited for sound waves [8].…”

Section: Introductionmentioning

confidence: 99%

Sound Absorption and Diffusion by 2D Arrays of Helmholtz Resonators

et al. 2020

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We report a theoretical and experimental study of an array of Helmholtz resonators optimized to achieve both efficient sound absorption and diffusion. The analysis starts with a simplified 1D model where the plane wave approximation is used to design an array of resonators showing perfect absorption for a targeted range of frequencies. The absorption is optimized by tuning the geometry of the resonators, i.e., by tuning the viscothermal losses of each element. Experiments with the 1D array were performed in an impedance tube. The designed system is extended to 2D by periodically replicating the 1D array. The 2D system has been numerically modeled and experimentally tested in an anechoic chamber. It preserves the absorption properties of the 1D system and introduces efficient diffusion at higher frequencies due to the joint effect of resonances and multiple scattering inside the discrete 2D structure. The combined effect of sound absorption at low frequencies and sound diffusion at higher frequencies, may play a relevant role in the design of noise reduction systems for different applications.

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Bandgap engineering of three-dimensional phononic crystals in a simple cubic lattice

Cited by 68 publications

References 38 publications

Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

3D printed architected hollow sphere foams with low-frequency phononic band gaps

Sound Absorption and Diffusion by 2D Arrays of Helmholtz Resonators

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