Optimization for a Locally Resonant Phononic Crystal of Square Spiral With Circle Inside

Xiang, Hang; Ma, Xingfu; Xiang, Jiawei

doi:10.1109/access.2019.2946085

Cited by 16 publications

(8 citation statements)

References 38 publications

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“…In addition, some of the structures have higher frequencies and narrower bandwidths, and thus are not suitable for low frequency vibration reduction applications in the range of 20-200 Hz. 23,24) In this paper, a novel low-frequency broadband vibration reduction LRPnC plate is designed based on the square spiral beam LRPnC. Based on finite element simulation, the band structure and vibration characteristics of the structure are first analyzed, and the effects of four key parameters on the bandgap distribution are investigated.…”

Section: Introductionmentioning

confidence: 99%

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

Chai,

Liu,

Xiang

2024

Jpn. J. Appl. Phys.

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Low-frequency vibration poses a great danger to both industrial production and human health. Therefore, the development of efficient low-frequency vibration reduction structures remains a focus of academic and engineering research. In this paper, a novel low-frequency vibration reduction local resonance phononic crystal (LRPnC) plate with a square spiral beam LRPnC design is proposed. Through finite element simulation, the band structure and vibration characteristics of the LRPnC are first analyzed. On this basis, a gradient LRPnC plate with rainbow trapping effect is constructed by gradient arranging unit cells with different structural parameters to achieve broadband vibration reduction. Finally, the vibration reduction performance of the designed structure is experimentally verified. The finite element analysis results show that the designed gradient LRPnC plate can provide more than 20 dB of transmission attenuation over the full frequency range of 20 to 200 Hz. And the experimental results are consistent with the simulation results.

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Section: Introductionmentioning

confidence: 99%

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

Chai,

Liu,

Xiang

2024

Jpn. J. Appl. Phys.

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“…Also, the existence of flat bands implies that the wave propagation pattern is identical in most wave vector directions, under the excitation of the corresponding frequency. These two conditions provide a new approach to low-frequency energy harvesting using LRPnCs [ 25 , 26 ]. Through these previous studies of locally resonant energy self-sufficient PnCs, a 3D super-cell PnC with local resonance spiral structure is investigated by COMSOL, using FEM to build a physical field control grid; thus, parameterized scanning in specified combinations is performed subsequently.…”

Section: Introductionmentioning

confidence: 99%

An Investigation of the Energy Harvesting Capabilities of a Novel Three-Dimensional Super-Cell Phononic Crystal with a Local Resonance Structure

Xiang,

Chai,

Kou

et al. 2024

Sensors

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Using the piezoelectric (PZT) effect, energy-harvesting has become possible for phononic crystal (PnC). Low-frequency vibration energy harvesting is more of a challenge, which can be solved by local resonance phononic crystals (LRPnCs). A novel three-dimensional (3D) energy harvesting LRPnC is proposed and further analyzed using the finite element method (FEM) software COMSOL. The 3D LRPnC with spiral unit-cell structures is constructed with a low initial frequency and wide band gaps (BGs). According to the large vibration deformation of the elastic beam near the scatterer, a PZT sheet is mounted in the surface of that beam, to harvest the energy of elastic waves using the PZT effect. To further improve the energy-harvesting performance, a 5 × 5 super-cell is numerically constructed. Numerical simulations show that the present 3D super-cell PnC structure can make full use of the advantages of the large vibration deformation and the PZT effect, i.e., the BGs with a frequency range from 28.47 Hz to 194.21 Hz with a bandwidth of 142.7 Hz, and the maximum voltage output is about 29.3 V under effective sound pressure with a peak power of 11.5 µW. The present super-cell phononic crystal structure provides better support for low-frequency vibration energy harvesting, when designing PnCs, than that of the traditional Prague type.

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“…For a long time, the research of phononic crystals has mostly focused on the bandgap forward problems, where theoretical derivation and numerical simulation are carried out by known material and structural parameters to obtain bandgap laws affecting the elastic wave propagation. At present, there are more mature studies having been conducted on different structural forms of phononic crystals such as rods [3][4][5], beams [6][7][8], and plates [9][10][11], etc Lu et al [12] proposed a broadband hybrid mechanism gradient elastic metamaterial rod, which broaden the attenuation bandgap range by increasing the gradient variation filling rate and local resonators. Liu et al [13] continuously regulated the lattice constants of the local resonant phononic crystal beam and the structural parameters of the resonators so as to tune the bandgap.…”

Section: Introductionmentioning

confidence: 99%

Research on the design of phononic crystal shaft bandgaps based on lumped mass method

et al. 2023

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Phononic crystals tend to mature in the research of forward problems due to their unique bandgap characteristics, but it is difficult to realize reasonable parameter design at specific bandgap frequencies in practical engineering applications. Thus, based on the lumped mass method, a research method for the inverse problem of phononic crystal shaft bandgaps is proposed in this paper. On the basis of the discretization model, the relationship between polynomials and the characteristic of bandgaps is discussed through derivation of the dispersive polynomial, and the feasible regions of the corresponding parameters are solved according to the bandgap existence criterion established by the characteristic rules for analytical verification. The results show that the bandgap existence criterion for frequency points and frequency bands can accurately and effectively invert the relevant parameters that meet the requirements, and the method is of great practical significance for promoting the development of phononic crystal shaft parameter design under the target bandgap in engineering applications.

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Optimization for a Locally Resonant Phononic Crystal of Square Spiral With Circle Inside

Cited by 16 publications

References 38 publications

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

An Investigation of the Energy Harvesting Capabilities of a Novel Three-Dimensional Super-Cell Phononic Crystal with a Local Resonance Structure

Research on the design of phononic crystal shaft bandgaps based on lumped mass method

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