Electro-mechanical coupling band gaps of a piezoelectric phononic crystal Timoshenko nanobeam with surface effects

Qian, Denghui; Wu, Jiashou; He, Feiyang

doi:10.1016/j.ultras.2020.106225

Cited by 12 publications

(2 citation statements)

References 24 publications

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“…Compared to traditional quarter-wavelength single/multi-layer matching techniques, acoustic impedance gradient matching effectively broadens the transducer's operating bandwidth and improves sensitivity, enhancing overall performance [11][12][13]. Phononic crystal, with its characteristics such as bandgaps and defective state, offers control over the propagation of sound and elastic waves [14][15][16]. Ji et al [17,18] designed a phononic crystal air-coupled ultrasonic transducer.…”

Section: Introductionmentioning

confidence: 99%

Intelligent Optimization Design of a Phononic Crystal Air-Coupled Ultrasound Transducer

Wang,

Ji,

et al. 2023

Materials

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To further improve the operational performance of a phononic crystal air-coupled ultrasonic transducer while reducing the number of simulations, an intelligent optimization design strategy is proposed by combining finite element simulation analysis and artificial intelligence (AI) methods. In the proposed strategy, the structural design parameters of 1–3 piezoelectric composites and acoustic impedance gradient matching layer are sampled using the optimal Latin hypercube sampling (OLHS) method. Moreover, the COMSOL software is utilized to calculate the performance parameters of the transducer. Based on the simulation data, a radial basis function neural network (RBFNN) model is trained to establish the relationship between the design parameters and the performance parameters. The accuracy of the approximation model is verified through linear regression plots and statistical methods. Finally, the NSGA-II algorithm is used to determine the design parameters of the transducer. After optimization, the band gap widths of the piezoelectric composites and acoustic impedance gradient matching layer are increased by 16 kHz and 13.5 kHz, respectively. Additionally, the −6 dB bandwidth of the transducer is expanded by 11.5%. The simulation results and experimental results are consistent with the design objectives, which confirms the effectiveness of the design strategy. This work provides a feasible strategy for the design of high-performance air-coupled ultrasonic transducers, which is of great significance for the development of non-destructive testing technology.

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Section: Introductionmentioning

confidence: 99%

Intelligent Optimization Design of a Phononic Crystal Air-Coupled Ultrasound Transducer

Wang,

Ji,

et al. 2023

Materials

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“…e obtained radial and tangential stop bands are verified by the finite element software. rough employing surface effect and Timoshenko beam theory, Qian et al [3] proposed a piezoelectric PC nanobeam to analyze the electromechanical coupling band behaviors. e effects of electromechanical coupling fields, residual surface stresses, and geometric parameters on stop bands are discussed in detail.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Transverse Wave for the Piezoelectric Radial Phononic Crystal Annular Plate in a Fibonacci Order

Liu

2021

Shock and Vibration

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Based on the previous conventional phononic crystal (PC) structures infinitely periodic in Cartesian coordinates, this paper addresses a new radial phononic crystal annular plate (RPCAP) modeled in a Fibonacci order along the radial direction. In this study, piezoelectric material PZT4 is simultaneously inserted into this RPCAP model to investigate the stop band behaviors. In order to clearly show the transmission characteristics of transverse wave, in cylindrical coordinates, the transfer matrix is deduced through combining the general solutions, piezoelectric governing equations, and continuity conditions. Compared with conventional PC structures, transmission response of transverse vibration for the Fibonacci RPCAP model is calculated theoretically to analyze the stop band phenomenon. Finite element simulation method (FEM) is conducted here to verify the theoretical results. The results show that the Fibonacci RPCAP model presents two newly emerging resonance frequencies while the radial periodic order is disorganized. To thoroughly understand the RPCAP, the effects of structural parameters, material parameters, and piezoelectric parameters on the stop band are discussed in detail. The proposed Fibonacci RPCAP can be employed in many engineering applications, such as in rotating parts which are often coupled with transverse vibration (like gear driving systems).

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Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab

Jin

2022

Appl. Math. Mech.-Engl. Ed.

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The size-dependent band structure of an Si phononic crystal (PnC) slab with an air hole is studied by utilizing the non-classic wave equations of the nonlocal strain gradient theory (NSGT). The three-dimensional (3D) non-classic wave equations for the anisotropic material are derived according to the differential form of the NSGT. Based on the the general form of partial differential equation modules in COMSOL, a method is proposed to solve the non-classic wave equations. The bands of the in-plane modes and mixed modes are identified. The in-plane size effect and thickness effect on the band structure of the PnC slab are compared. It is found that the thickness effect only acts on the mixed modes. The relative width of the band gap is widened by the thickness effect. The effects of the geometric parameters on the thickness effect of the mixed modes are further studied, and a defect is introduced to the PnC supercell to reveal the influence of the size effects with stiffness-softening and stiffness-hardening on the defect modes. This study paves the way for studying and designing PnC slabs at nano-scale.

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Electro-mechanical coupling band gaps of a piezoelectric phononic crystal Timoshenko nanobeam with surface effects

Cited by 12 publications

References 24 publications

Intelligent Optimization Design of a Phononic Crystal Air-Coupled Ultrasound Transducer

Intelligent Optimization Design of a Phononic Crystal Air-Coupled Ultrasound Transducer

Propagation of Transverse Wave for the Piezoelectric Radial Phononic Crystal Annular Plate in a Fibonacci Order

Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab

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