A time domain spectral element model for piezoelectric excitation of Lamb waves in isotropic plates

Mohamed, Ramy; Masson, Patrice

doi:10.1117/12.847770

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…A schematic of the model is presented in Figure 7 . A minimum of ten elements per the smallest propagating wavelength (

= 3 mm @ 829 kHz) were used, and the time step was chosen to be smaller than the greatest wave velocity divided by the element size to avoid numerical errors [ 34 ]. Spatial fast Fourier transforms were performed over several radial lines at constant angles, after which the directivity patterns were then plotted based on the amplitude at the wavenumber corresponding to the three modes of interest.…”

Section: Simulationsmentioning

confidence: 99%

Plane Wave SH0 Piezoceramic Transduction Optimized Using Geometrical Parameters

Boivin

Viens

Bélanger

2018

Sensors

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Structural health monitoring is a prominent alternative to the scheduled maintenance of safety-critical components. The nondispersive nature as well as the through-thickness mode shape of the fundamental shear horizontal guided wave mode (SH0) make it a particularly attractive candidate for ultrasonic guided wave structural health monitoring. However, plane wave excitation of SH0 at a high level of purity remains challenging because of the existence of the fundamental Lamb modes (A0 and S0) below the cutoff frequency thickness product of high-order modes. This paper presents a piezoelectric transducer concept optimized for plane SH0 wave transduction based on the transducer geometry. The transducer parameter exploration was initially performed using a simple analytical model. A 3D multiphysics finite element model was then used to refine the transducer design. Finally, an experimental validation was conducted with a 3D laser Doppler vibrometer system. The analytical model, the finite element model, and the experimental measurement showed excellent agreement. The modal selectivity of SH0 within a 20∘ beam opening angle at the design frequency of 425 kHz in a 1.59 mm aluminum plate was 23 dB, and the angle of the 6 dB wavefront was 86∘.

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“…A schematic of the model is presented in Figure 7 . A minimum of ten elements per the smallest propagating wavelength (

Section: Simulationsmentioning

confidence: 99%

Plane Wave SH0 Piezoceramic Transduction Optimized Using Geometrical Parameters

Boivin

Viens

Bélanger

2018

Sensors

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“…Spectral element method (SEM) has been used in several applications (Mohamed and Masson, 2010; Patera, 1984; Rowlatt and Phillips, 2016). Patera (1984) developed the SEM, which potentially increased the low-convergence rate problem of finite element method (FEM).…”

Section: Introductionmentioning

confidence: 99%

Discrete singular convolution and spectral finite element method for predicting electromechanical impedance applied on rectangular plates

Sepehry

Bakhtiari-Nejad

Shamshirsaz

2017

Journal of Intelligent Material Systems and Structures

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The impedance-based structural health monitoring using piezoelectric wafer-active sensor has been increasingly developed for aerospace, civil, and mechanical structures. Using electromechanical coupling effects of piezoelectric wafer-active sensor, impedance of piezoelectric wafer-active sensor can detect any change in a structure. Piezoelectric wafer-active sensor is embedded and bounded to the structure in order to monitor the structure in a preferred frequency range. This article presented a general model to predict the impedance of piezoelectric wafer-active sensor bounded to a plate structure and also developed a general model for the influence of interaction of piezoelectric wafer-active sensor and plate on the structural response in impedance-based structural health monitoring. To obtain equations of vibrations, in the first step, potential and kinetic energies of fully free Kirchhoff and Mindlin plates with piezoelectric wafer-active sensor are derived. Numerical solutions for structural vibration of the plate developed using discrete singular convolution methods and applied based on Rayleigh–Ritz method in very high frequencies. After calculating mass and stiffness matrices of structure and piezoelectric wafer-active sensor, impedance of piezoelectric wafer-active sensor was determined using piezoelectric constitutive equations. Also, a three-dimensional spectral finite element method was used to model impedance of plate. An experimental setup was used for modal analysis to obtain low natural frequencies and calculate the impedance of piezoelectric wafer-active sensor in high frequencies. Finally, the comparison of numerical results of three-dimensional spectral element method and experimental results verified this model.

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