Abstract
Coupled extensional and flexural cylindrical vibrations of a corrugated cylindrical piezoelectric shell consisting of multiple pieces of circular cylindrical surfaces smoothly connected along their generatrix are studied. To validate the results for the case of relatively thick shells or equivalently high-frequency modes with short wavelengths, existing analysis is extended by considering shear deformation and rotatory inertia. An analytical solution is obtained. Based on the solution, resonant frequencies and mode shapes are calculated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fiorillo, A.S., Design and characterization of a PVDF ultrasonic range sensor. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1992, 39(6): 688–692.
Fiorillo, A.S., Noise analysis in air-coupled PVDF ultrasonic sensors. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2000, 47(6): 1432–1437.
Wang, H. and Toda, M., Curved PVDF airborne transducer. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1999, 46(6): 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(6): 1421–1431.
Toda, M. and Thompson, M.L., Contact-type vibration sensors using curved clamped PVDF film. IEEE Sensors Iournal, 2006, 6(5): 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(6): 1568–1574.
Toda, M. and Dahl, J., PVDF corrugated transducer for ultrasonic ranging sensor. Sensors and Actuators A, 2007, 134: 427–435.
Gao, F.R., Hu, H.P, Hu, Y.T and Xiong, C.H., An analysis of a cylindrical thin shell as a piezoelectric transformer. Acta Mechanica Solida Sinica, 2007, 20(2): 163–170.
Ding, H.J., Guo, Y.M., Yang, Q.D. and Chen, W.Q., Free vibration of piezoelectric cylindrical shells. Acta Mechanica Solida Sinica, 1997, 10(1): 48–55.
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.
Xu,L.M., Gao,J.F. and Huang,D.G., Design and characterization of a PVDF ultrasonic acoustic transducer applied in audio beam loudspeaker. IEEE International Conference on Mechatronics and Automation (ICMA 2005), 2005: 1992–1997.
Xu, L.M., Chen, M., Du, H.L., Hu, H.P., Hu, Y.T., Fan, H. and Yang, J.S., Vibration characteristics of a cylindrical shell piezoelectric transducer. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2008, 11: 2502–2508.
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(3): 668–674.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Nos.60302001 and 10872074) and Major State Basic Research Development Program of China (973 Program) (No.2009CB724205).
Rights and permissions
About this article
Cite this article
Du, H., Xu, L., Hu, H. et al. High-frequency vibrations of corrugated cylindrical piezoelectric shells. Acta Mech. Solida Sin. 21, 564–572 (2008). https://doi.org/10.1007/s10338-008-0868-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10338-008-0868-4