Complete band gaps of phononic crystal plates with square rods

El‐Naggar, Sahar A.; Mostafa, Samia I.; Rafat, Nadia H.

doi:10.1016/j.ultras.2011.11.006

Cited by 23 publications

(7 citation statements)

References 15 publications

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“…Frequency band structures of 2DPCs with different filling fractions are investigated with results shown in Figure 4. As shown in Figure 4, the first band-gap width is increased by increasing the filling fractions until reaching a maximum value Crystals 2017, 7, 328 7 of 12 4.09 kHz at f = 45%, and then to shrink, which are similar to Reference [50]. The comparison of the dispersion relations with different Possion's ratios in Figure 4 has shown that the material properties have little influence on band structures.…”

Section: Numerical Investigationsupporting

confidence: 68%

Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

2017

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Abstract:A wavelet-based finite element method (WFEM) is developed to calculate the elastic band structures of two-dimensional phononic crystals (2DPCs), which are composed of square lattices of solid cuboids in a solid matrix. In a unit cell, a new model of band-gap calculation of 2DPCs is constructed using plane elastomechanical elements based on a B-spline wavelet on the interval (BSWI). Substituting the periodic boundary conditions (BCs) and interface conditions, a linear eigenvalue problem dependent on the Bloch wave vector is derived. Numerical examples show that the proposed method performs well for band structure problems when compared with those calculated by traditional FEM. This study also illustrates that filling fractions, material parameters, and incline angles of a 2DPC structure can cause band-gap width and location changes.

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Section: Numerical Investigationsupporting

confidence: 68%

Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

2017

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“…Lowering the target defect-band frequency is also an essential issue in this research area. As the lattice constant of the unit cell increases, the defect-band frequency, as well as the band gap, can decrease [ 56 ]. Alternatively, the stub-type unit cell enables to lower the target frequency range [ 57 ].…”

Section: Discussionmentioning

confidence: 99%

L-shape triple defects in a phononic crystal for broadband piezoelectric energy harvesting

Yoon

Shin

et al. 2022

Nano Convergence

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This study proposes a phononic crystal (PnC) with triple defects in an L-shape arrangement for broadband piezoelectric energy harvesting (PEH). The incorporation of defects in PnCs has attracted significant attention in PEH fields owing to properties such as energy localization and amplification near the defect. Several studies have been conducted to enhance output electric power of PnC-based PEH systems with single defects. However, it is susceptible to the limitations of narrow bandwidth. Recently, double-defect-incorporated systems have been proposed to widen the PEH bandwidth via defect-band splitting. Nevertheless, the PEH performance rapidly decreases in the frequency range between the split defect bands. The limitations of single- and double-defect-incorporated systems can be resolved by the incorporation of the proposed design concept, called the L-shape triple defects in a PnC. The isolated single defect at the top vertex of the letter ‘L’ compensates for the limitations of double-defect-incorporated systems, whereas the double defects at the bottom vertices compensate for the limitations of the single-defect-incorporated systems. Hence, the proposed design can effectively confine and harvest elastic-wave energy over broadband frequencies while enhancing the application of single and double defects. The effectiveness of the proposed design concept is numerically validated using the finite element method. In the case of a circular hole-type PnC, it is verified that the PnC with L-shape triple defects broadens the bandwidth, and improves the output voltage and electric power compared with those of single- and double-defect-incorporated systems. This study expands the design space of defect-incorporated PnCs and might shed light on other engineering applications of the frequency detector and elastic wave power transfer.

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“…Second, El-Naggar et al [54] calculated the dispersion structure of a phononic crystal plate by using the super-cell plane wave expansion (PWE) method. In their work, dispersion curves for both the in-plane wave and out-of-plane wave are given.…”

Section: Verificationsmentioning

confidence: 99%

Analysis of flexural wave bandgaps in periodic plate structures using differential quadrature element method

Cheng

Zhang

2015

International Journal of Mechanical Sciences

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Complete band gaps of phononic crystal plates with square rods

Cited by 23 publications

References 15 publications

Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

L-shape triple defects in a phononic crystal for broadband piezoelectric energy harvesting

Analysis of flexural wave bandgaps in periodic plate structures using differential quadrature element method

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