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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Mulholland, Anthony J.
University of Bristol
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (30/30 displayed)
- 2021Modelling of ultrasonic waves in layered elastic heterogeneous materialscitations
- 2020Effective Grain Orientation Mapping of Complex and Locally Anisotropic Media for Improved Imaging in Ultrasonic Non-Destructive Testingcitations
- 2019Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scalescitations
- 2018Linear ultrasonic array design using cantor set fractal geometrycitations
- 2018Broadband 1-3 piezoelectric composite transducer design using Sierpinski Gasket fractal geometrycitations
- 2017Renormalisation analysis of a composite ultrasonic transducer with a fractal architecturecitations
- 2017Pipe organ air-coupled broad bandwidth transducer
- 2017A weak-inertia mathematical model of bubble growth in a polymer foamcitations
- 2017A nonlinear elasticity approach to modelling the collapse of a shelled microbubblecitations
- 2017Linear ultrasonic array incorporating a Cantor Set fractal element configuration
- 2016Investigating the performance of a fractal ultrasonic transducer under varying system conditionscitations
- 2016Improving the operational bandwidth of a 1-3 piezoelectric composite transducer using Sierpinski Gasket fractal geometry
- 2015Dynamical model of an oscillating shelled microbubble
- 2015System modeling and device development for passive acoustic monitoring of a particulate-liquid processcitations
- 2015A finite element approach to modelling fractal ultrasonic transducerscitations
- 2015A model-based approach to crack sizing with ultrasonic arrayscitations
- 2015A Composite Ultrasonic Transducer with a Fractal Architecture
- 2012Ultrasonic wave propagation in heterogenous media
- 2012The use of fractal geometry in the design of piezoelectric ultrasonic transducerscitations
- 2010Properties of photocured epoxy resin materials for application in piezoelectric ultrasonic transducer matching layerscitations
- 2010An electrostatic ultrasonic transducer incorporating resonating conduits
- 2009Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impactscitations
- 2009Estimating particle concentration using passive ultrasonic measurement of impact vibrationscitations
- 2009The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution
- 2008Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion methodcitations
- 2008Analysis of ultrasonic transducers with fractal architecturecitations
- 2008Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layerscitations
- 2008Particle sizing using passive ultrasonic measurement of particle-wall impact vibrationscitations
- 2007Theoretical modelling of frequency dependent elastic loss in composite piezoelectric transducerscitations
- 2000Wave propagation in 0-3/3-3 connectivity composites with complex microstructurecitations
Places of action
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article
Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales
Abstract
The transmission and reception sensitivities of most piezoelectric ultrasonic transducers are enhanced by their geometrical structures. This structure is normally a regular, periodic one with one principal length scale which, due to the resonant nature of the devices, determines the central operating frequency. There is engineering interest in building wide bandwidth devices, and so it follows that in their design, resonators that have a range of length scales should be used. This paper describes a mathematical model of a fractal ultrasound transducer whose piezoelectric components span a range of length scales. There have been many previous studies of wave propagation in the Sierpinski gasket but this paper is the first to study its complement. This is a critically important mathematical development as the complement is formed from a broad distribution of triangle sizes whereas the Sierpinski gasket is formed from triangles of equal size. Within this structure, the electrical and mechanical fields fluctuate in tune with the time dependent displacement of these substructures. A new set of basis functions is developed that allow us to express this displacement as part of a finite element methodology. A renormalisation approach is then used to develop a recursion scheme that analytically describes the key components from the discrete matrices that arise. Expressions for the transducer's operational characteristics are then derived and analysed as a function of the driving frequency. It transpires that the fractal device has a significantly higher reception sensitivity (18 dB) and a significantly wider bandwidth (3 MHz) than an equivalent Euclidean (standard) device.