Simulations on the wide bandgap characteristics of a two-dimensional tapered scatterer phononic crystal slab at low frequency

Aiming at the problem of vibration damping of low, medium and high frequency noise in the engineering field, an effective phononic crystal structure is proposed in this paper. Firstly, the energy band structure and transmission loss curve of the proposed phononic crystal are calculated using the finite element method, and the first ultra-wide band gap in the frequency range of 122.47-4360.2 Hz is obtained, and the average transmission loss within the band gap reaches 350 dB. Next, the eigenmodes of the phononic crystal are analyzed and the corresponding equivalent spring system is developed. Numerical calculations indicate that the phononic crystal proposed in this paper can perform excellent noise and vibration reduction below 5000 Hz, and it is found that the peripheral silicone rubber connecting plate plays a crucial role in the width of the ultra-wide band gap.

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“…The study of cones as scatterers is well documented [15,16] . The model designed in this paper is shown in Fig.…”

Section: Model and Methodsmentioning

confidence: 99%

The study of low-frequency ultrawide band gap of conical scatterer phononic crystal

Tang

Zheng

et al. 2023

International Conference on Optoelectronic Information and Functional Materials (OIFM 2023)

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“…Compared with the Bragg scattering mechanism, the local resonance mechanism is usually more favorable to the formation of low-frequency bandgap [6] . In addition, common methods for calculating bandgap range include the plane wave expansion method [7] , the finite element method [8] , and the transfer matrix method [9] .…”

Section: Introductionmentioning

confidence: 99%

Flexural wave bandgap properties of phononic crystal beams with interval parameters

Shi

Qian

et al. 2023

Appl. Math. Mech.-Engl. Ed.

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Uncertainties are unavoidable in practical engineering, and phononic crystals are no exception. In this paper, the uncertainties are treated as the interval parameters, and an interval phononic crystal beam model is established. A perturbation-based interval finite element method (P-IFEM) and an affine-based interval finite element method (A-IFEM) are proposed to study the dynamic response of this interval phononic crystal beam, based on which an interval vibration transmission analysis can be easily implemented and the safe bandgap can be defined. Finally, two numerical examples are investigated to demonstrate the effectiveness and accuracy of the P-IFEM and A-IFEM. Results show that the safe bandgap range may even decrease by 10% compared with the deterministic bandgap without considering the uncertainties.

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“…Tian 13 examined the effect of a rotation angle of scatterers on the energy band of PnCs. For conical scattering PnCs, Yang 14 investigated the low-frequency BG characteristics and suggested that the conical design increased the center of gravity of the vibrator, which could enhance the BG characteristics. Alagoz 15 explored the nonreciprocal sound transmission effect of triangular prism scatterer PnCs and applied this effect to acoustic diode devices, thus contributing to the application of sound transmission control.…”

Section: Introductionmentioning

confidence: 99%

Band Gap and Waveguide Characteristics of Petal-Shaped Scatterer Phononic Crystals

Li¹,

Xiang²,

Wang³

et al. 2023

The International Journal of Acoustics and Vibration

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In this study, the Bragg petal-shaped scatterer (PS) phononic crystal (PnC) model is built to expand the width of band gap (BG). The BG characteristics of the PSPnC, square, circular, octagonal, and the "+" shaped scatterer PnC are compared using the finite element method (FEM). This study investigates the effects of the internal and external diameter ratio and the number of petals of single-layer petals, double-layer petals and the application of pre-deformation without changing their structure on the BG characteristics of PnCs for the transmission characteristics of supercell structures. Moreover, two different waveguides (WGs) are built with pre-deformed unit cells as the defects. As revealed by the results, the PSPnC exhibited better vibration isolation performance than PnCs with other shapes. More BGs will appear at a higher frequency with the decrease in the ratio of inner and outer diameter of petals and the increase in the number of petals. In addition, the double-layer PSPnC has high performance, and the dislocation arrangement of PS can enhance the vibration isolation performance of PSPnC. Furthermore, the WG structure is capable of guiding the energy, which provides a new insight into the establishment of the filter.

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Simulations on the wide bandgap characteristics of a two-dimensional tapered scatterer phononic crystal slab at low frequency

Cited by 20 publications

References 23 publications

The study of low-frequency ultrawide band gap of conical scatterer phononic crystal

The study of low-frequency ultrawide band gap of conical scatterer phononic crystal

Flexural wave bandgap properties of phononic crystal beams with interval parameters

Band Gap and Waveguide Characteristics of Petal-Shaped Scatterer Phononic Crystals

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