Effect of the internal rib structure of the inclusions on the two-dimensional phononic crystal composed of periodic slotted tubes in air

Yu, Kunpeng; Chen, Tian Ning; Wang, Xiao Peng; Zhou, An An

doi:10.1016/j.physb.2012.07.019

Cited by 4 publications

(3 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Yu et al studied the influence of microstructure on the bandgap using a 2D PC composed of peri-odic slotted tubes with the internal rib structure in air matrix and revealed that the size of the internal rib structure has significant influence on both the lower edge and the upper edge of the lowest bandgap. [14] Subsequently, they investigated the bandgap properties of a 2D PC with periodic neck structures, which could generate several complete bandgaps within a frequency range from 2 kHz to 17 kHz. [15] Xu et al [16] considered a 2D hierarchical PC consisting of periodic square lattice with multiple scatterers.…”

Section: Introductionmentioning

confidence: 99%

Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Wang

Sheng

et al. 2016

Chinese Phys. B

View full text Add to dashboard Cite

A two-dimensional phononic crystal (PC) structure possessing a relatively low frequency range of complete bandgap is presented. The structure is composed of periodic spindle-shaped plumbum inclusions in a rubber matrix which forms a square lattice. The dispersion relation, transmission spectrum and displacement field are studied using the finite element method in conjunction with the Bloch theorem. Numerical results show that the present PC structure can achieve a large complete bandgap in a relatively low frequency range compared with two inclusions of different materials, which is useful in low-frequency noise and vibration control and can be designed as a low frequency acoustic filter and waveguides. Moreover, the transmission spectrum and effective mass are evaluated to validate the obtained band structure. It is interesting to see that within the band gap the effective mass becomes negative, resulting in an imaginary wave speed and wave exponential attenuation. Finally, sensitivity analysis of the effect of geometrical parameters of the presented PC structure on the lowest bandgap is performed to investigate the variations of the bandgap width and frequency.

show abstract

Section: Introductionmentioning

confidence: 99%

Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Wang

Sheng

et al. 2016

Chinese Phys. B

View full text Add to dashboard Cite

show abstract

“…Experimental measurements showed that transmission through an array of slit tubes with periodic narrow slits decreased the noise level throughout the frequency interval which is in good agreement with that in the calculated prohibited band. Yu et al [22] presented a new PC composed of periodic slotted tubes with an internal rib structure in air. Their results showed that the internal rib had a significant influence on the first band gap.…”

Section: Introductionmentioning

confidence: 99%

“…The band properties of PCs with S-shaped inclusions have yet not been reported, as far as we know. In this paper, band structures of a novel two-dimensional PC with an S-shaped slot are evaluated using the finite element method (FEM) [10,22,[25][26][27]. The formation mechanisms of bands are analysed based on the acoustic mode.…”

Section: Introductionmentioning

confidence: 99%

Band Structures in Two-Dimensional Phononic Crystals with Periodic S-Shaped Slot

2015

View full text Add to dashboard Cite

Band structures are investigated in two-dimensional phononic crystals (PC) composed of a periodic S-shaped slot in an air matrix with a square lattice. Dispersion relations, pressure fields and transmission spectra are calculated using the finite element method and Bloch theorem. Numerical results show that the proposed PC can yield complete and large band gaps at lower frequency ranges compared with that of the Jerusalem slots in Li et al. (Phys B 456:261-266, 2015) under the same parameter setting of the lattice and outline of the inclusions. The transmission spectrum is verified to be reasonably consistent with the band gaps along the X direction. By analysing the pressure fields of several modes, the resonance modes of cavities within the S-shaped slot structure are found to result in the low-frequency band gaps. The effects of the geometrical parameters on the upper and lower edges of the first and second complete band gap are further studied. Numerical results show that the bandwidth of the first and second band gaps can be modulated over an extremely large frequency range by the geometrical parameters. The properties of the proposed PC have potential for implementation in structures and devices of noise and vibration control, such as noise filters and waveguides.

show abstract

Multilayer-split-tube resonators with low-frequency band gaps in phononic crystals

Guan

et al. 2014

Journal of Applied Physics

View full text Add to dashboard Cite

In this paper, low-frequency band gaps in two-dimensional Helmholtz resonant phononic crystals (PCs) composed of multilayer-split-tube resonators are investigated. The band structures, transmission spectra, and pressure field of the acoustic modes of these PCs are calculated by using a finite element method (FEM). The numerical results show that the first band gap of the structure is from 88 to 140 Hz. The transmission spectra are in accordance with those of the dispersion relation calculations. The acoustic modes of the bands are analyzed to reveal the nature of this phenomenon. It is found that the interaction between the local resonance and the traveling wave modes in proposed structure is responsible for the formation of the first band gap. The influences of the structural parameters on the band gaps are investigated by using FEM and the electrical circuit analogy. Numerical results show that the band gaps can be modulated in an even wider frequency range by changing the structural parameters, such as the rotation angle, the number of tubes, and the radius of the outer tube. The structural design results provide an effective way for phononic crystals to obtain the low-frequency band gaps, which have potential application in the low-frequency noise reduction.

show abstract

Effect of the internal rib structure of the inclusions on the two-dimensional phononic crystal composed of periodic slotted tubes in air

Cited by 4 publications

References 31 publications

Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Band Structures in Two-Dimensional Phononic Crystals with Periodic S-Shaped Slot

Multilayer-split-tube resonators with low-frequency band gaps in phononic crystals

Contact Info

Product

Resources

About