Investigation the effect of lattice angle on the band gap width in 3D phononic crystals with rhombohedral(I) lattice

Salehi, Hadi; Aryadoust, M.; Shoushtari, Morteza Zargar

doi:10.1007/s00339-013-8084-6

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…Manktelow et al studied the nonlinear periodic materials [11] and obtained large band gap shifts in one and two dimensions via optimal topologies. Salehi et al researched the propagation of acoustic waves in the phononic crystal of 3D with rhombohedral lattice [12]. Sainidou and Stefanou analyse guided and quasiguided elastic waves in a thin glass slab coated on one side with a periodic monolayer of polymer spheres, immersed in water [13].…”

Section: Introductionmentioning

confidence: 99%

Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Liu¹,

Li²,

Zhong³

et al. 2015

Shock and Vibration

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A new two-dimensional locally resonant phononic crystal with microcavity structure is proposed. The acoustic wave band gap characteristics of this new structure are studied using finite element method. At the same time, the corresponding displacement eigenmodes of the band edges of the lowest band gap and the transmission spectrum are calculated. The results proved that phononic crystals with microcavity structure exhibited complete band gaps in low-frequency range. The eigenfrequency of the lower edge of the first gap is lower than no microcavity structure. However, for no microcavity structure type of quadrilateral phononic crystal plate, the second band gap disappeared and the frequency range of the first band gap is relatively narrow. The main reason for appearing low-frequency band gaps is that the proposed phononic crystal introduced the local resonant microcavity structure. This study provides a good support for engineering application such as low-frequency vibration attenuation and noise control.

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Section: Introductionmentioning

confidence: 99%

Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Liu¹,

Li²,

Zhong³

et al. 2015

Shock and Vibration

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show abstract

“…Researchers are interested in them because these structures can also be used as frequency filters, vibration isolators and transducers. In recent years, the investigation of elastic wave propagation in lattices has received a lot of attention (Narisetti et al, 2010(Narisetti et al, , 2011Gao et al, 2013;Salehi et al, 2013;Wu et al, 2013a).…”

Section: Introductionmentioning

confidence: 99%

Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices

2014

Journal of Vibration and Control

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In this paper, the vibration band gap properties of a two-dimensional square lattice are studied using the spectral element method. Before assembling the spectral equations of whole structures, the spectral stiffness matrices of the tensional and bending elements are established. The frequency responses of the lattices are calculated and compared with those obtained by the finite element method. It can be observed that the results in the spectral element method are more accurate, especially in high frequency ranges. The frequency band gap properties are analyzed based on the accurate frequency responses. The effects of the material and structure parameters on the band gap properties are investigated.

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Dispersion relations of elastic waves in three-dimensional cubical piezoelectric phononic crystal with initial stresses and mechanically and dielectrically imperfect interfaces

Guo

Liu

et al. 2019

Applied Mathematical Modelling

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Investigation the effect of lattice angle on the band gap width in 3D phononic crystals with rhombohedral(I) lattice

Cited by 6 publications

References 25 publications

Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices

Dispersion relations of elastic waves in three-dimensional cubical piezoelectric phononic crystal with initial stresses and mechanically and dielectrically imperfect interfaces

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