An analytical model of a longitudinal-torsional ultrasonic transducer

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Al-Budairi, H. ; Lucas, M. (2012)

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.
  • References (8)

    [1] F. Arnold, 2008, Resonance Frequencies of the Multilayered Piezotransducers, Journal of the Acoustical Society of America, 123(5) 3641.

    [2] L. Shuyu and T. Hua, 2008, Study on the Sandwich Piezoelectric Ceramic Ultrasonic Transducer in Thickness Vibration, Journal of Smart Materials and Structures, 17(1) 015034.

    [3] D. Dragan, D. Mančić and G. Stančić, 2010, New Three-dimensional Matrix Models of the Ultrasonic Sandwich Transducers, Journal of Sandwich Structures and Materials, 12(1) 63-80.

    [4] H. Al-Budairi, P. Harkness and M. Lucas, 2011, A Strategy for Delivering High Torsionality in Longitudinal-Torsional Ultrasonic Devices, Applied Mechanics and Materials, 70 339-344.

    [5] S. Sherrit, B. Dolgin and Y. Bar-Cohen, 1999, Modeling of Horns for Sonic/Ultrasonic Applications, Proceedings of the IEEE Ultrasonics Symposium, 1 647-651.

    [6] W. Mason, 1948, Electromechanical transducers and wave filters, D. Van Nostrand Co., New York.

    [7] T. Li, Y. Chen and J. Ma, 2009, Development of a Miniaturized Piezoelectric Ultrasonic Transducer, IEEE Transactions of Ultrasonics, Ferroelectrics and Frequency Control, 56(3) 649-659.

    [8] L. Shuyu, 1999, Study on the Longitudinal-Torsional Compound Transducer with Slanting Slots, Journal of the Acoustical Society of America, 105(3) 1643-1650.

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