Lamb wave band structure in phononic crystal composed of multiple square stubs symmetric or anti-symmetric deposited on a homogeneous plate

This paper theoretically investigates the propagation of Lamb waves in a two-dimensional (2D) phononic crystal (PC) structure composed of multiple square stubs symmetric or anti-symmetric deposited on a thin homogeneous plate. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are studied by using the finite-element method (FEM). We investigate the effect of the distance between adjacent square stubs on the band gaps (BGs). The results show that the distance between adjacent square stubs can remarkably change the location and the width of the BGs. Meanwhile, we conducted a numerically study on the different results between the anti-symmetric and symmetric distribution of the scatterers. The band structure of the anti-symmetric structure PC is significantly different from the symmetric structure. In general, the distribution of the square stubs has an influence on the band structures. We further identify the physical mechanism of the distinction in the formation of the BG between the anti-symmetric and the symmetric model through the displacement fields of the eigenmodes. In addition, we find that the variation of the PC BGs in anti-symmetric and symmetric structure are sensitive to the distance between adjacent square stubs, which could be indispensable to practical applications such as BG tuning.

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Lamb wave band gaps in a homogeneous plate with inclined cylindrical dots

International Journal of Modern Physics B ◽

10.1142/s0217979214501136 ◽

2014 ◽

Vol 28 (16) ◽

pp. 1450113 ◽

Cited By ~ 1

Author(s):

Weihua Chen ◽

Peng Wang

Keyword(s):

Lamb Wave ◽

Phononic Crystal ◽

Power Spectra ◽

Band Gaps ◽

Geometrical Parameters ◽

Wave Band ◽

Displacement Fields ◽

Homogeneous Plate ◽

Total Displacement ◽

Square Array

We report on the theoretical analysis of locally resonant sonic band gaps (BGs) in a phononic crystal (PC) structure constituted by a square array of inclined cylindrical dots deposited on a thin homogeneous plate. Based on an efficient finite element method (FEM), we show that the PC plate with inclined dots can lower Lamb wave BGs due to a weak localized resonance of the edge of the upper surface of the inclined dots. The BGs can be effectively shifted by changing the value of the incline. The total displacement fields are computed to explain how the inclined dot induces the lowering of the locally resonant BGs. Transmission power spectra (TPS) are calculated to demonstrate the existence of the BGs and it matches well with the band structure. BGs evolution as a function of geometrical parameters of the PC plate with inclined dot is also studied.

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Lamb wave band gaps in one-dimensional radial phononic crystal slabs

International Journal of Modern Physics B ◽

10.1142/s0217979215500022 ◽

2015 ◽

Vol 29 (03) ◽

pp. 1550002 ◽

Cited By ~ 1

Author(s):

Yinggang Li ◽

Tianning Chen ◽

Xiaopeng Wang

Keyword(s):

Finite Element ◽

Axial Symmetry ◽

Lamb Wave ◽

Lamb Waves ◽

Phononic Crystal ◽

Band Gaps ◽

Slab Thickness ◽

Wave Band ◽

Filling Fraction ◽

One Dimensional

In this paper, we theoretically investigate the band structures of Lamb wave in one-dimensional radial phononic crystal (PC) slabs composed of a series of alternating strips of epoxy and aluminum. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are calculated by using the finite element method based on two-dimensional axial symmetry models in cylindrical coordinates. The axial symmetry model is validated by three-dimensional finite element model in Cartesian coordinates. Numerical results show that the proposed radial PC slabs can yield several complete band gaps with a variable bandwidth exist for elastic waves. Furthermore, the effects of the filling fraction and the slab thickness on the band gaps are further explored numerically. It is worth observing that, with the increase of the filling fraction, both the lower and upper edges of the band gaps are simultaneously shifted to higher frequency, which results from the enhancement interaction between the rigid resonance of the scatterer and the matrix. The slab thickness is the key parameter for the existence and the width of complete band gaps in the radial PC slabs. These properties of Lamb waves in the radial PC plates can potentially be applied to optimize band gaps, generate filters and design acoustic devices in the rotary machines and structures.

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Frequency characteristics of defect states in a two-dimensional phononic crystal with slit structure

International Journal of Modern Physics B ◽

10.1142/s0217979216500259 ◽

2016 ◽

Vol 30 (06) ◽

pp. 1650025 ◽

Cited By ~ 2

Author(s):

X. P. Wang ◽

P. Jiang ◽

T. N. Chen ◽

K. P. Yu

Keyword(s):

Band Gap ◽

Power Transmission ◽

Phononic Crystal ◽

Slit Width ◽

Band Gaps ◽

Theoretical Research ◽

Two Dimensional ◽

Defect States ◽

Band Frequency ◽

Practical Applications

In this paper, the defect state and band gap characteristics in a two-dimensional slit structure phononic crystal, consisting of slotted steel tubes embedded in an air matrix, are investigated theoretically and experimentally. Using the finite element method and supercell technique, the dispersion relationships and power transmission spectra of the slit structures are calculated. The vibration modes of the band gap edges are analyzed to clarify the mechanism of the generation of the band gaps. Additionally, the influence of the slit width on the band gaps in slit structure is investigated. The slit width was found to influence the band gaps; this is critical to understand for practical applications. Based on this finding, a method to form defect scatterers by changing the slit width of a single central scatterer, or one row of scatterers, in the perfect PC was developed. Defect bands can be induced by creating defects inside the original complete band gaps. The frequency can then be tuned by changing the slit width of defect scatterers. Meanwhile, the relationship between point defect and line defect is investigated. Finally, we verify the results of theoretical research by experiments. These results will help in fabricating devices such as acoustic filters and waveguides whose band frequency can be modulated.

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Thermal tuning of Lamb wave band structure in a two-dimensional phononic crystal plate

Journal of Applied Physics ◽

10.1063/1.3669391 ◽

2011 ◽

Vol 110 (12) ◽

pp. 123503 ◽

Cited By ~ 32

Author(s):

Yuanwei Yao ◽

Fugen Wu ◽

Xin Zhang ◽

Zhilin Hou

Keyword(s):

Band Structure ◽

Lamb Wave ◽

Phononic Crystal ◽

Crystal Plate ◽

Wave Band ◽

Two Dimensional ◽

Thermal Tuning

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Numerical study of Lamb waves band structure in one-dimensional phononic crystal slabs with the anti-symmetric boundary structure

Journal of Applied Physics ◽

10.1063/1.4865797 ◽

2014 ◽

Vol 115 (6) ◽

pp. 063510 ◽

Cited By ~ 15

Author(s):

Pingping Huang ◽

Yuanwei Yao ◽

Fugen Wu ◽

Xin Zhang

Keyword(s):

Band Structure ◽

Lamb Waves ◽

Numerical Study ◽

Phononic Crystal ◽

Boundary Structure ◽

One Dimensional

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Low-frequency and tuning characteristic of band gap in a symmetrical double-sided locally resonant phononic crystal plate with slit structure

International Journal of Modern Physics B ◽

10.1142/s0217979216502039 ◽

2016 ◽

Vol 30 (27) ◽

pp. 1650203 ◽

Cited By ~ 1

Author(s):

X. P. Wang ◽

P. Jiang ◽

A. L. Song

Keyword(s):

Band Gap ◽

Power Transmission ◽

Phononic Crystal ◽

Low Frequency ◽

Band Gaps ◽

Geometrical Parameters ◽

Band Frequency ◽

Practical Applications ◽

Tuning Characteristic ◽

Lower Frequencies

In this paper, the low-frequency and tuning characteristic of band gap in a two-dimensional phononic crystal structure, consisting of a square array of aluminum cylindrical stubs deposited on both sides of a thin rubber plate with slit structure, are investigated. Using the finite element method, the dispersion relationships and power transmission spectra of this structure are calculated. In contrast to a typical phononic crystal without slit structure, the proposed slit structure shows band gaps at lower frequencies. The vibration modes of the band gap edges are analyzed to clarify the mechanism of the lowest band gaps. Additionally, the influence of the slit parameters and stub parameters on the band gaps in slit structure are investigated. The geometrical parameters of the slits and stubs were found to influence the band gaps; this is critical to understand for practical applications. These results will help in fabricating phononic crystal structures whose band frequency can be modulated at lower frequencies.

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Ultralow frequency acoustic bandgap and vibration energy recovery in tetragonal folding beam phononic crystal

International Journal of Modern Physics B ◽

10.1142/s0217979216501113 ◽

2016 ◽

Vol 30 (18) ◽

pp. 1650111 ◽

Cited By ~ 26

Author(s):

Nansha Gao ◽

Jiu Hui Wu ◽

Lie Yu ◽

Hong Hou

Keyword(s):

Energy Recovery ◽

Cell Structure ◽

Phononic Crystal ◽

Low Frequency ◽

Acoustic Properties ◽

Vibration Energy ◽

Portable Devices ◽

Displacement Fields ◽

Practical Applications ◽

Ultralow Frequency

This paper investigates ultralow frequency acoustic properties and energy recovery of tetragonal folding beam phononic crystal (TFBPC) and its complementary structure. The dispersion curve relationships, transmission spectra and displacement fields of the eigenmodes are studied with FEA in detail. Compared with the traditional three layer phononic crystal (PC) structure, this structure proposed in this paper not only unfold bandgaps (BGs) in lower frequency range (below 300 Hz), but also has lighter weight because of beam structural cracks. We analyze the relevant physical mechanism behind this phenomenon, and discuss the effects of the tetragonal folding beam geometric parameters on band structure maps. FEM proves that the multi-cell structures with different arrangements have different acoustic BGs when compared with single cell structure. Harmonic frequency response and piezoelectric properties of TFBPC are specifically analyzed. The results confirm that this structure does have the recovery ability for low frequency vibration energy in environment. These conclusions in this paper could be indispensable to PC practical applications such as BG tuning and could be applied in portable devices, wireless sensor, micro-electro mechanical systems which can recycle energy from vibration environment as its own energy supply.

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