Research on low-frequency band gap property of a hybrid phononic crystal

Dong, Yake; Ye, Hong; Du, Jianke; Zhao, Jing-Bo; Ding, Chengri; Wang, Benchi

doi:10.1142/s0217984918501658

Cited by 12 publications

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many researchers have proposed strategies to widen the bandgap. However, the strategies all come at the expense of structural weight [25][26][27][28][29] . Therefore, it is important to study elastic metamaterials composed of simple microstructures.…”

Section: Introductionmentioning

confidence: 99%

Bandgap characteristics of the two-dimensional missing rib lattice structure

Yang

Guo

2022

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

In this paper, the bandgap characteristics of a missing rib lattice structure composed of beam elements are investigated by using the Floquet-Bloch theorem. The tuning of the width and position of the bandgap is achieved by changing the local structural parameters, i.e., the rotation angle, the short beam length, and the beam thickness. In order to expand the regulation of the bandgap, the influence of the material parameters of the crossed long beams inside the structure on the bandgap is analyzed. The results show that the mass density and stiffness of the structure have significant effects on the bandgap, while Poisson’s ratio has no effect on the bandgap. By analyzing the first ten bands of the reference unit cell, it can be found that the missing rib lattice structure generates multiple local resonance bandgaps for vibration reduction, and these bandgap widths are wider. The modal analysis reveals that the formation of the bandgap is due to the dipole resonance of the lattice structure, and this dipole resonance originates from the coupling of the bending deformation of the beam elements. In the band structure, the vibrational mode of the 9th band with a negative slope corresponds to a rotational resonance, which is different from that with the conventional negative slope formed by the coupling of two resonance modes. This study can provide a theoretical reference for the design of simple and lightweight elastic metamaterials, as well as for the regulation of bandgaps and the suppression of elastic waves.

show abstract

Section: Introductionmentioning

confidence: 99%

Bandgap characteristics of the two-dimensional missing rib lattice structure

Yang

Guo

2022

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Low-Frequency Ultrawide Band Gap Study of Symmetric Conical Scatterer Phononic Crystal

Tang

Zheng

2023

J. Vib. Eng. Technol.

View full text Add to dashboard Cite

Purpose One of the key challenges in the research of phononic crystals is achieving small-size control of large wavelengths, which means obtaining low-frequency band gaps with relatively small lattice dimensions. Previous studies have mostly been unsatisfactory in this regard. To obtain lower starting frequencies and more satisfactory band gap widths, this work presents a novel design for a phononic crystal structure. Design Approach The proposed phononic crystal consists of a silicon rubber connecting plate, an epoxy resin substrate, and tungsten metal cone scatterers. Through finite element method (FEM) calculations and analysis, we have successfully achieved an ultrawide band gap. To delve further into the origin of the ultra-wideband gap in a newly conceived phononic crystal, the vibrational modes of this crystal were carefully studied. Findings This work has successfully achieved an ultrawide band gap with a width ranging from 122.47 to 4360.2 in the case of a lattice constant of a = 8.5 mm. It was found that the low-frequency ultra-wideband gap cannot be obtained without the presence of silicone rubber. Furthermore, an equivalent spring model was developed, and the accuracy of this model was successfully validated through meticulous calculations. At last, It is found that d1, d4, h1, and h3 have the most pronounced effect on the ultrawide bandgap, and the intrinsic reason is the fact that they determine the geometric structure of the silicone rubber connection plate. Research Limitations/implications Due to the chosen research method of finite element analysis, the study results may vary depending on the different mesh discretizations, but this type of error is small and can be ignored. Practical Implications This work provides a new design solution for phononic crystal miniaturization. Originality/value Compared with previous reports, the new phonon crystals designed in this paper have smaller size, lower starting frequency, and wider band gap.

show abstract

Research on low-frequency band gap property of a hybrid phononic crystal

Cited by 12 publications

References 21 publications

Bandgap characteristics of the two-dimensional missing rib lattice structure

Bandgap characteristics of the two-dimensional missing rib lattice structure

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

Low-Frequency Ultrawide Band Gap Study of Symmetric Conical Scatterer Phononic Crystal

Contact Info

Product

Resources

About