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• W2592065436 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 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 renormalization 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." @default.
• W2592065436 created "2017-03-16" @default.
• W2592065436 creator A5011243761 @default.
• W2592065436 creator A5091411835 @default.
• W2592065436 date "2017-04-01" @default.
• W2592065436 modified "2023-09-25" @default.
• W2592065436 title "RENORMALIZATION ANALYSIS OF A COMPOSITE ULTRASONIC TRANSDUCER WITH A FRACTAL ARCHITECTURE" @default.
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• W2592065436 doi "https://doi.org/10.1142/s0218348x17500153" @default.
• W2592065436 hasPublicationYear "2017" @default.
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