Abstract
The coupled extensional and flexural vibrations of an annular corrugated shell piezoelectric transducer consisting of multiple circularly-annular surfaces smoothly connected along the interfaces were investigated in the paper. Only a time-harmonic voltage is applied across two electrodes of the piezoelectric shell as the external loading. A theoretical solution was obtained using the classical shell theory. Based on the solution, basic vibration characteristics of resonant frequencies, mode shapes were calculated and examined.
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Fiorillo, A.S., Design and characterization of a PVDF ultrasonic range sensor. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1992, 39: 688–692.
Fiorillo, A.S., Noise analysis in air-coupled PVDF ultrasonic sensors. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2000, 47: 1432–1437.
Wang, H. and Toda, M., Curved PVDF airborne transducer. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1999, 46: 1375–1386.
Toda, M. and Tosima, S., Theory of curved, clamped piezoelectric film, air-borne transducers. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2000, 47: 1421–1431.
Toda, M. and Thompson, M.L., Contact-type vibration sensors using curved clamped PVDF film. IEEE Sensors Journal, 2006, 6: 1170–1177.
Toda, M., Phase-matched air ultrasonic transducer using corrugated PVDF film with half wavelength depth. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2001, 48: 1568–1574.
Toda, M. and Dahl, J., PVDF corrugated transducer for ultrasonic ranging sensor. Sensors and Actuators A, 2007, 134: 427–435.
Xu, L.M., Li, H., Cao, J.F. and Li, Y.T., Influence of phased array pattern on beam directivity. International Journal of Innovative Computing, Information and Control, 2006, 2: 449–456.
Du, H.L., Xu, L.M., Hu, H.P., Hu, Y.T., Chen, X.D., Fan, H. and Yang, J.S., High-frequency vibrations of corrugated cylindrical piezoelectric shells. Acta Mechanica Solida Sinica, 2008, 21: 564–572.
Weizang Chien, Dajun Fan, Chien Hwang, Comparison of the calculations of three-convolution circular arc corrugated diaphragms by toroidal shell theory and by orthogonal anisotropy plate theory. Applied Mathematics and Mechanics, 1984, 5: 1019–1027.
Tiersten, H.F., Linear Piezoelectric Plate Vibrations. New York: Plenum, 1969.
Yang, J.S., The Mechanics of Piezoelectric Structures. Singapore: World Scientific, 2006.
Hu, H.P., Zhao, C., Feng, S.Y., Hu, Y.T. and Chen, C.Y., Adjusting the resonant frequency of a PVDF bimorph power harvester through a corrugation-shaped harvesting structure. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2008, 55: 668–674.
Xu, L.M., Chen, M., Du, H.L., Hu, H.P., Hu, Y.T., Fan, H. and Yang, J.S., Vibration characteristics of a corrugated cylindrical shell piezoelectric transducer. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2008, 55: 2502–2508.
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Project supported by the National Natural Science Foundation of China (Nos.60302001, 10872074 and 10932004) and Major State Basic Research Development Program of China (973 Program) (No.2009CB724205).
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Li, H., Yang, F., Du, H. et al. Dynamic Characteristics of Axially-Symmetrical Annular Corrugated Shell Piezoelectric Transducers. Acta Mech. Solida Sin. 22, 499–509 (2009). https://doi.org/10.1016/S0894-9166(09)60301-3
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DOI: https://doi.org/10.1016/S0894-9166(09)60301-3