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An analytical model of a longitudinal-torsional ultrasonic transducer

Al-Budairi, H., and Lucas, M. (2012) An analytical model of a longitudinal-torsional ultrasonic transducer. Journal of Physics: Conference Series, 382 (C1). Art. 012061. ISSN 1742-6588 (doi:10.1088/1742-6596/382/1/012061)

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Abstract

The combination of longitudinal and torsional (LT) vibrations at high frequencies finds many applications such as ultrasonic drilling, ultrasonic welding, and ultrasonic motors. The LT mode can be obtained by modifications to the design of a standard bolted Langevin ultrasonic transducer driven by an axially poled piezoceramic stack, by a technique that degenerates the longitudinal mode to an LT motion by a geometrical alteration of the wave path. The transducer design is developed and optimised through numerical modelling which can represent the geometry and mechanical properties of the transducer and its vibration response to an electrical input applied across the piezoceramic stack. However, although these models can allow accurate descriptions of the mechanical behaviour, they do not generally provide adequate insights into the electrical characteristics of the transducer. In this work, an analytical model is developed to present the LT transducer based on the equivalent circuit method. This model can represent both the mechanical and electrical aspects and is used to extract many of the design parameters, such as resonance and anti-resonance frequencies, the impedance spectra and the coupling coefficient of the transducer. The validity of the analytical model is demonstrated by close agreement with experimental results.

Item Type:Article
Status:Published
Refereed:Yes
Glasgow Author(s):Lucas, Prof Margaret
Authors: Al-Budairi, H., and Lucas, M.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Journal of Physics: Conference Series
ISSN:1742-6588
ISSN (Online):1742-6596
Published Online:22 August 2012

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