Designing broad phononic band gaps for in-plane modes

Li, Yang Fan; Meng, Fei; Li, Shuo; Jia, Baohua; Zhou, Shiwei; Huang, Xiaodong

doi:10.1016/j.physleta.2017.12.050

Cited by 47 publications

(18 citation statements)

References 28 publications

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“…Goo et al (2020) used the hybrid finite element-wave based method to deal with the topology optimization of vibroacoustic problems. Li et al (2016aLi et al ( , b, 2018) used bidirectional evolutionary structural optimization method to study single-and multi-optimization of PnCs. Chen et al (2019) studied the effect of viscoelasticity on the topology optimization of PnCs.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of periodic barriers for surface waves

Liu

Dong

2020

Struct Multidisc Optim

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Dispersion engineering is always the important topic in the field of artificial periodic structures. In particular, topology optimization of composite structures with expected bandgaps plays a key role. However, most reported studies focused on topology optimization for bulk waves, and the optimization for surface wave bandgaps (SWBGs) is still missing. In this paper, we develop a topology optimization framework based on the genetic algorithm and finite element method to design periodic barriers embedded in semi-infinite space for reducing surface waves on demand. The objective functions for SWBGs are proposed based on the energy distribution properties of surface waves. The numerical results show that the optimization framework has stable convergence for this problem and is effective to optimize SWBGs. Considering large SWBGs and low filling fraction of solids, we investigate single-and multi-objective optimizations, respectively, and obtain novel wave barriers with good performance. The beneficial configuration features and mechanism of broadband SWBGs from the optimized results are explored. The results indicate that for the first-order SWBG, most optimized structures consist of a main scatterer at the center and some subsidiary scatterers near the surface. The rigid body resonance of the main scatterer determines the lower edge of SWBG, and the subsidiary scatterers can regulate the upper edge. Higher-order SWBGs are generated from the interaction of multiple scatterers, whose relative distance has a great influence on the position of SWBGs. The optimized structures can make the surface waves propagate far away from the surface within the frequencies of bandgaps, leading to a strong attenuation of surface vibration. In practice, our topological optimization framework is promising in designing high-performance surface wave devices and novel isolating structures for earthquake or environmental vibration in civil engineering.

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Section: Introductionmentioning

confidence: 99%

Topology optimization of periodic barriers for surface waves

Liu

Dong

2020

Struct Multidisc Optim

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“…Therefore, some studies have devoted to the construction of guess designs in the initial steps of the topology optimization for photonic/phononic crystals. [ 31–33 ]…”

Section: Introductionmentioning

confidence: 99%

Photonic Band Gap Material Topological Design at Specified Target Frequency

Zhang

Luo

Yan

et al. 2021

Advcd Theory and Sims

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To achieve any specified band gap structure around target frequency, a new photonic crystals (PhC) topological design strategy is proposed. In the design optimization model, a band gap index that measures the minimal signed distances between the specified frequency and any two adjacent orders of frequencies is proposed, and the topology of PhC unit cell is represented with a low number of design variables through the material‐field series‐expansion. Then the sequential Kriging‐based algorithm is adopted for solving the multi‐peak and nondifferentiable optimization problems. Based on the numerical implementation of the proposed optimization method, the PhC unit cells are designed to provide band gaps precisely matching any specified central frequency value. The optimized unit cell designs are easily assembled to achieve a PhC device with the large relative band gap.

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“…However, for local resonance phonon crystals, except for the high sound transmission loss near the beginning of the band gap, the sound transmission loss (STL) in other frequency domains is very low. In order to widen the noise reduction band, scientists have made many efforts [24][25][26][27][28][29]. Dong et al [25] investigated hybrid phononic crystals; the characteristic frequency of the xy mode, transmission loss, and displacement vector were calculated using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

et al. 2020

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Localized resonance phononic crystals (LRPCs) are increasingly attracting scientists’ attention in the field of low-frequency noise reduction because of the excellent subwavelength band gap characteristics in the low-frequency band. However, the LRPCs have always had the disadvantage that the noise reduction band is too narrow. In this paper, in order to solve this problem, LRPCs based on double-layer plates with cavity structures are designed. First, the energy bands of phononic crystals plate with different thicknesses were calculated by the finite element method (FEM). At the same time, the mechanism of band gap generation was analyzed in combination with the modalities. Additionally, the influence of structure on the sound transmission loss (STL) of the phononic crystals plate and the phononic crystals cavity plates were analyzed, which indicates that the phononic crystals cavity plates have notable characteristics and advantages. Moreover, this study reveals a unique ”cavity cave” pattern in the STL diagram for the phononic crystals cavity plates, and it was analyzed. Finally, the influence of structural factors on the band structure and STL of phononic crystals cavity plates are summarized, and the theoretical basis and method guidance for the study of phononic crystals cavity plates are provided. New ideas are also provided for the future design and research of phononic crystals plate along with potential applications in low-frequency noise reduction.

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Designing broad phononic band gaps for in-plane modes

Cited by 47 publications

References 28 publications

Topology optimization of periodic barriers for surface waves

Topology optimization of periodic barriers for surface waves

Photonic Band Gap Material Topological Design at Specified Target Frequency

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

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