Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension

Miao, Zhongjian; Li, Jingru; Li, Sheng; Ma, Qingfen

doi:10.3390/app12147021

Cited by 4 publications

(3 citation statements)

References 40 publications

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“…The bandgap can be regulated by changing the external voltage or circuit using the piezoelectric effect of piezoelectric materials. Miao et al [12] constructed a square 2D piezoelectric PC structure with a hollow outer convexity. They compared the transmission loss results with and without an external circuit, laying the foundation for active control of piezoelectric PC structures.…”

Section: Introductionmentioning

confidence: 99%

FE/PDE: a novel approach applied to PC plate structure with multi-scale and multi-physics field coupling

Qian,

Liu

2024

Phys. Scr.

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For the more straightforward and more efficient solution of phononic crystal (PC) plate frequency band structure, transmission curve, and vibration mode, in this paper, related theories based on spatial Fourier series expansions, combined with Bloch’s theorem, a novel approach to solve the structural governing equations of PC plate is proposed by using the partial differential equations (PDE) module in the finite element software COMSOL. It is named the FE/PDE (Finite element and partial differential equations) method. The method’s accuracy is verified by comparing the results with those obtained from the traditional method. Systematic elucidation of the application of the method to probe the properties of multi-scale, multi-physics field coupled PC plate. In order to demonstrate the flexibility and scientific validity of the method, a novel nano-piezoelectric PC plate structure is proposed and solved. The method is simple, computationally efficient, and applicable, and provides a new method for investigating the properties of PC plates.

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Section: Introductionmentioning

confidence: 99%

FE/PDE: a novel approach applied to PC plate structure with multi-scale and multi-physics field coupling

Qian,

Liu

2024

Phys. Scr.

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“…Wang et al [25] used a PWE method, based on the Mindlin piezoelectric plate theory, to derive the dispersion relation of bending waves in a nonuniform piezoelectric plate. Miao and his co-workers [26] implemented the derivation of the formulae for the energy band structures based on the finite element method and the plane wave expansion method. They obtained the energy band diagrams of the corresponding piezoelectric structures.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Bandgap Properties of a Piezoelectric Phononic Crystal Plate Based on the PDE Module in COMSOL

Liu,

Qian

2024

Materials

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Aiming to address the vibration noise problems on ships, we constructed a piezoelectric phononic crystal (PC) plate structure model, solved the governing equations of the structure using the partial differential equations module (PDE) in the finite element softwareCOMSOL6.1, and obtained the corresponding energy band structure, transmission curves, and vibration modal diagrams. The application of this method to probe the structural properties of two-dimensional piezoelectric PCs is described in detail. The calculation results obtained using this method were compared with the structures obtained using the traditional plane wave expansion method (PWE) and the finite element method (FE). The results were found to be in perfect agreement, which verified the feasibility of this method. To safely and effectively adjust the bandgap within a reasonable voltage range, this paper explored the order of magnitude of the plate thickness, the influence of the voltage on the bandgap, and the dependence between them. It was found that the smaller the order of magnitude of the plate thickness, the smaller the order of magnitude of the band in which the bandgap was located. The magnitude of the driving voltage that made the bandgap change became smaller accordingly. The new idea of attaching the PC plate to the conventional plate structure to achieve a vibration damping effect is also briefly introduced. Finally, the effects of lattice constant, plate width, and thickness on the bandgap were investigated.

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“…Among these intriguing functionalities, the band gaps, appearing as a result of the wave motion in such composites, have gained increasing attention for reducing vibration and sound [ 1 , 2 , 3 , 4 ] since the elastic and acoustic waves are forbidden from propagating through the frequency regions inside the band gaps. Using different types of mechanisms, Bragg band gaps [ 5 , 6 ], local resonance gaps [ 7 , 8 , 9 ] and inertial induced gaps [ 10 , 11 ] were investigated to satisfy various structural requirements of applications in vibration and noise control. Numerous studies [ 12 , 13 , 14 ] have demonstrated that structural configuration and material properties play a significant role in determining wave propagation and attenuation performance regardless of whether underlying mechanisms are used.…”

Section: Introductionmentioning

confidence: 99%

Inverse Design of Micro Phononic Beams Incorporating Size Effects via Tandem Neural Network

Miao

et al. 2023

Materials

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Phononic crystals of the smaller scale show a promising future in the field of vibration and sound reduction owing to their capability of accurate manipulation of elastic waves arising from size-dependent band gaps. However, manipulating band gaps is still a major challenge for existing design approaches. In order to obtain the microcomposites with desired band gaps, a data drive approach is proposed in this study. A tandem neural network is trained to establish the mapping relation between the flexural wave band gaps and the microphononic beams. The dynamic characteristics of wave motion are described using the modified coupled stress theory, and the transfer matrix method is employed to obtain the band gaps within the size effects. The results show that the proposed network enables feasible generated micro phononic beams and works better than the neural network that outputs design parameters without the help of the forward path. Moreover, even size effects are diminished with increasing unit cell length, the trained model can still generate phononic beams with anticipated band gaps. The present work can definitely pave the way to pursue new breakthroughs in micro phononic crystals and metamaterials research.

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Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension

Cited by 4 publications

References 40 publications

FE/PDE: a novel approach applied to PC plate structure with multi-scale and multi-physics field coupling

FE/PDE: a novel approach applied to PC plate structure with multi-scale and multi-physics field coupling

Investigation of Bandgap Properties of a Piezoelectric Phononic Crystal Plate Based on the PDE Module in COMSOL

Inverse Design of Micro Phononic Beams Incorporating Size Effects via Tandem Neural Network

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