Renormalisation analysis of a composite ultrasonic transducer with a fractal architecture

Ebrahem Algehyne, Anthony Mulholland

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)

Abstract

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 behaviour 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 article 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 modelled 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 discretised equations yields to a renormalisation methodology which is used to derive expressions for the non-dimensionalised electrical impedance and the transmission and reception sensitivities. A comparison with a standard design shows some benefits of these fractal designs.
Original languageEnglish
JournalFractals
DOIs
Publication statusPublished - 12 Apr 2017

Fingerprint

Dive into the research topics of 'Renormalisation analysis of a composite ultrasonic transducer with a fractal architecture'. Together they form a unique fingerprint.

Cite this