Collimated acoustic beams from radial modes of piezoelectric disc transducers

Chillara, Vamshi Krishna; Davis, Eric S.; Pantea, Cristian; Sinha, Dipen N.

doi:10.1063/1.5099763

Cited by 4 publications

(5 citation statements)

References 7 publications

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“…In fluids, only the axial component of the displacement is well-coupled to the medium as it can support only longitudinal wave propagation. Hence, the radial mode excitation in fluids generate axial J 0 -Bessel beams [9]. In the case of a solid, both the radial and axial components of the displacement are coupled to the medium as both longitudinal and shear waves can propagate in the medium.…”

Section: Coupled Electromechanical Modeling Of Ultrasonic Wave Genera...mentioning

confidence: 99%

“…In water, the longitudinal waves generated by the radial modes have the same number of side lobes as the radial mode excitation. Moreover, they have a comparable energy and penetration depth to the central lobe [9][10][11][12].…”

Section: Elastodynamic Equationsmentioning

confidence: 99%

“…While the radial mode vibration characteristics of piezoelectric discs are well understood [8], there are limited studies concerning the wave propagation characteristics due to radial mode excitation of piezoelectric discs. Recently, the authors have investigated ultrasonic wave propagation in fluids from radial modes and have found that they generate 'Bessel beams' [9]. These Bessel beams are comprised of a collimated central lobe and multiple side lobes whose number depends on the modal number of the radial mode.…”

Section: Introductionmentioning

confidence: 99%

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Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid

Chillara

Greenhall

Pantea

2020

Smart Mater. Struct.

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We discuss the ultrasonic wave propagation characteristics in an isotropic elastic solid due to the radial mode excitation of a piezoelectric disc actuator bonded to its surface. Finite element simulations using coupled electromechanical modeling is employed to investigate the wave propagation behavior. We find that the radial mode vibrations on the surface of the elastic solid generates all the three types of ultrasonic waves: longitudinal, shear, and surface waves. The waves in the solid are comprised of a central lobe and multiple side lobes based on the frequency of the radial mode excitation. The central lobe is predominantly composed of longitudinal waves and the side lobes are composed of shear waves. While the longitudinal waves have a strong central lobe and weak side lobes that are not fully developed, shear waves consists of fully developed side lobes. In addition, we observe that the longitudinal waves have fewer side lobes inside the solid compared to the shear waves. A semi-analytical approach is presented to explain the above observations. The interface traction boundary condition between the piezoelectric disc and the elastic solid is approximated as a truncated 'Bessel' excitation over the area of the piezoelectric disc in contact with the solid. A Fourier-Bessel series expansion technique is used to investigate the wave propagation behavior from the above traction boundary condition. The results obtained explain the observations from the finite element simulations with regard to the number and distribution of side lobes pertaining to the longitudinal and shear waves generated from the radial modes of the piezoelectric disc. The proposed semi-analytical approach is general and can be applied to any arbitrary axisymmetric excitations on the surface of an elastic solid.

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Section: Coupled Electromechanical Modeling Of Ultrasonic Wave Genera...mentioning

confidence: 99%

Section: Elastodynamic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid

Chillara

Greenhall

Pantea

2020

Smart Mater. Struct.

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“…The most commonly used transducers for ultrasonic applications found in the literature are pure hard PZT discs, and a vast majority of them rely on thickness extension mode (TEM) [13], or the fundamental radial mode (RM) [14]. However, the hard PZT disc transducer that we used, as in figure 1, shows a complicated spectrum of thickness, radial, edge and coupled vibrations.…”

Section: Introductionmentioning

confidence: 99%

Complex piezoelectric material parameters of hard PZT determined from a single disc transducer

Kar

Basaeri²,

Roundy

et al. 2023

Smart Mater. Struct.

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A poled piezoelectric ceramic such as Lead Zirconate Titanate (PZT) belongs to a C∞ crystal class, with ten independent material constants. If we consider losses, all the material parameters can be represented in complex form as all the 10 material parameters also have 10 loss components associated with them. Therefore, a total of 20 independent material constants are required to obtain the entire model. In this work, we present a procedure for determining the complete reduced matrix of a piezoelectric ultrasonic disc transducer using one-dimensional resonance analysis in thickness and radial modes and parametric sweep using finite element analysis to numerically calculate the impedance while comparing it with the measured impedance. The objective is to obtain the material parameters that minimize the error between the measured impedance data and the numerical impedance curve without using any optimization techniques. We can follow the standard procedure of resonance analysis for radial and thickness modes and then conduct a sensitivity analysis using parametric sweeps in COMSOL to evaluate the unknown material values. In addition, we present the transform equations in reduced matrix form to evaluate the critically sensitive parameters concerning other consistent evaluated material constant sets. To validate the procedure, we used the impedance responses of 2 piezoelectric discs with diameter-to-thickness ratios of 25 and 22.5. The comparison between the numerical and experimental results shows an excellent agreement for electrical impedance curves.

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“…applications, multi-layered structures present a challenge for ultrasounds systems because of the complex propagation and reverberation of the signal through the material. Figure 1 illustrates an example of a collimated beam ultrasound system [1][2][3][4] that is designed to image through multi-layered structures. The system consists of a narrowband collimated beam transmitter combined with an array of receivers.…”

Section: Introductionmentioning

confidence: 99%