Double frequency piezoelectric transducer design for harmonic imaging purposes in NDT

Espinosa, F. Montero de; Martínez-Graullera, Óscar; Elvira, Luis; Gomez-Ullate, L.

doi:10.1109/tuffc.2005.1504020

Cited by 10 publications

(4 citation statements)

References 11 publications

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“…naturally produce and receive ultrasound by utilizing a wide variety of intricate geometries in their transduction "equipment"; often with resonators spread over a range of length scales. [8][9][10][11][12][13][14][15] However, man-made transducers tend to employ a regular geometry on a single length scale. Due to this characteristic, man-made transducers are unable to operate over a wide range of frequencies resulting in transmission and reception sensitivities with narrow bandwidths.…”

Section: Introductionmentioning

confidence: 99%

Renormalization Analysis of a Composite Ultrasonic Transducer With a Fractal Architecture

Algehyne¹,

Mulholland²

2017

Fractals

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To ensure the safe operation of many safety critical structures such as nuclear plants, aircraft and oil pipelines, non-destructive imaging is employed using piezoelectric ultrasonic transducers. These sensors typically operate at a single frequency due to the restrictions imposed on their resonant behavior by the use of a single length scale in the design. To allow these transducers to transmit and receive more complex signals it would seem logical to use a range of length scales in the design so that a wide range of resonating frequencies will result. In this paper, we derive a mathematical model to predict the dynamics of an ultrasound transducer that achieves this range of length scales by adopting a fractal architecture. In fact, the device is modeled as a graph where the nodes represent segments of the piezoelectric and polymer materials. The electrical and mechanical fields that are contained within this graph are then expressed in terms of a finite element basis. The structure of the resulting discretized equations yields to a * Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. 1750015-1 E. A. Algehyne & A. J. Mulhollandrenormalization methodology which is used to derive expressions for the non-dimensionalized electrical impedance and the transmission and reception sensitivities. A comparison with a standard design shows some benefits of these fractal designs.

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Section: Introductionmentioning

confidence: 99%

Renormalization Analysis of a Composite Ultrasonic Transducer With a Fractal Architecture

Algehyne¹,

Mulholland²

2017

Fractals

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“…Piezoelectric ultrasonic transducers typically employ composite structures to improve their transmission and reception sensitivities ( Hayward (1984); Orr et al (2007)) and many biological species produce and receive ultrasound such as moths, bats, dolphins and cockroaches. The manmade transducers tend to have very regular geometry on a single scale whereas the natural systems exhibit a wide variety of intricate geometries often with resonators over a range of length scales ( Müller et al (2006); Müller (2004); Miles & Hoy (2006); Chiselev et al (2009) ;Eberl et al (2000); Nadrowski et al (2008); Robert & Göpfert (2002); Montero de Espinosa et al (2005)). This allows these transducers to operate over a wider frequency range and hence results in reception and transmission sensitivities with exceptional bandwidths.…”

Section: Introductionmentioning

confidence: 99%

A finite element approach to modelling fractal ultrasonic transducers

Algehyne

Mulholland

2015

IMA Journal of Applied Mathematics

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Piezoelectric ultrasonic transducers usually employ composite structures to improve their transmission and reception sensitivities. The geometry of the composite is regular with one dominant length scale and, since these are resonant devices, this dictates the central operating frequency of the device. In order to construct a wide bandwidth device it would seem natural therefore to utilize resonators that span a range of length scales. In this article we derive a mathematical model to predict the dynamics of a fractal ultrasound transducer; the fractal in this case being the Sierpinski gasket. Expressions for the electrical and mechanical fields that are contained within this structure are expressed in terms of a finite element basis. The propagation of an ultrasonic wave in this transducer is then analyzed and used to derive expressions for the non-dimensionalised electrical impedance and the transmission and reception sensitivities as a function of the driving frequency. Comparing these key performance measures to an equivalent standard (Euclidean) design shows some benefits of these fractal designs.

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“…The non-destructive testing (NDT) with ultrasonic waves is a widely used technique [1][2][3] in the aeronautics and aerospace industries, for example, for performing flaw detection or measurement of parameters as thickness or porosity. Usually, the generation and the reception of acoustic waves are accomplished by using piezoelectric materials 4,5 . In this work, however, for the detection, we regard the application of a fiber optic angular displacement sensor.…”

Section: Introductionmentioning

confidence: 99%