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Research Papers

Acoustic Radiation of a Cylindrical Piezoelectric Power Transformer

[+] Author and Article Information
He Zhang

College of Civil Engineering and Architecture,
Zhejiang University,
Hangzhou 310058, China
e-mail: zjuzhanghe@zju.edu.cn

Guiru Ye

e-mail: yegr@zju.edu.cn

Zhicheng Zhang

e-mail: cezhangzc@gmail.com
Department of Civil Engineering,
Zhejiang University,
Hangzhou 310058, China

1Corresponding author.

Manuscript received January 9, 2013; final manuscript received February 22, 2013; accepted manuscript posted March 7, 2013; published online August 21, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(6), 061019 (Aug 21, 2013) (5 pages) Paper No: JAM-13-1014; doi: 10.1115/1.4023979 History: Received January 09, 2013; Revised February 22, 2013; Accepted March 07, 2013

Theoretical analysis is performed for the sound radiation of a cylindrical power transformer composed of piezoelectric transducers with radial polarization. The transformer is driven in thickness-stretch mode, and an exact solution is obtained for the sound pressure and sound power level in the surrounding fluid. Representative examples are used to illustrate the sound field induced by the operation of the transformer. Numerical results indicate that the electrical impedance and the thickness ratio of actuator/sensor to metal core have considerable effects on sound radiation of the cylindrical power transformer.

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References

Mokry, P., Fukada, E., and Yamamoto, K., 2003, “Noise Shielding System Utilizing a Thin Piezoelectric Membrane and Elasticity Control,” J. Appl. Phys., 94(1), pp. 789–796. [CrossRef]
Oishi, T., Aronov, B., and Brown, D. A., 2007, “Broadband Multimode Baffled Piezoelectric Cylindrical Shell Transducers,” J. Acoust. Soc. Am., 121(6), pp. 3465–3471. [CrossRef] [PubMed]
Ferrari, M., Ferrari, V., Guizzetti, M., Marioli, D., and Taroni, A., 2008, “Piezoelectric Multifrequency Energy Converter for Power Harvesting in Autonomous Microsystems,” Sens. Actuators, A, 142(1), pp. 329–335. [CrossRef]
Kim, H., Brockhaus, A., and Engemann, J., 2009, “Atmospheric Pressure Argon Plasma Jet Using a Cylindrical Piezoelectric Transformer,” Appl. Phys. Lett., 95(21), p. 211501. [CrossRef]
Paltauf, G., Nuster, R., and Burgholzer, P., 2009, “Characterization of Integrating Ultrasound Detectors for Photoacoustic Tomography,” J. Appl. Phys., 105(10), p. 102026. [CrossRef]
Zhang, C. L., Yang, J. S., and Chen, W. Q., 2010, “Low-Frequency Magnetic Energy Harvest Using Multiferroic Composite Plates,” Phys. Lett. A, 374(24), pp. 2406–2409. [CrossRef]
Bao, X. Q., Biederman, W., Sherrit, S., Badescu, M., Bar-Cohen, Y., Jones, C., Aldrich, J., and Chang, Z. S., 2008, “High-Power Piezoelectric Acoustic-Electric Power Feedthru for Metal Walls,” SPIE Proceedings, Vol. 6930: Industrial and Commercial Applications of Smart Structures Technologies 2008, L. P.Davis, B. K.Henderson, and M. B.McMickell, eds., SPIE, Bellingham, WA.
Hu, H. P., Hu, Y. T., and Chen, C. Y., 2008, “Wireless Energy Transmission Through a Thin Metal Wall by Shear Wave Using Two Piezoelectric Transducers,” Proceedings of the 2008 IEEE Ultrasonics Symposium (IUS 2008), Beijing, November 2–5, pp. 2165–2168. [CrossRef]
Lu, C. F., Yang, J. S., Wang, J., and Chen, W. Q., 2009, “Power Transmission Through a Hollow Cylinder by Acoustic Waves and Piezoelectric Transducers With Radial Polarization,” J. Sound Vib., 325(4–5), pp. 989–999. [CrossRef]
Lawry, T. J., Saulnier, G. J., Ashdown, J. D., Wilt, K. R., Scarton, H. A., Pascarelle, S., and Pinezich, J. D., 2011, “Penetration-Free System for Transmission of Data and Power Through Solid Metal Barriers,” Proceedings of the Military Communications Conference (MILCOM 2011), Baltimore, MD, November 7–10. [CrossRef]
Chen, W. Q., Bian, Z. G., Lv, C. F., and Ding, H. J., 2004, “3D Free Vibration Analysis of a Functionally Graded Piezoelectric Hollow Cylinder Filled With Compressible Fluid,” Int. J. Solids Struct., 41(3–4), pp. 947–964. [CrossRef]
Yas, M. H., and Garmsiri, K., 2010, “Three-Dimensional Free Vibration Analysis of Cylindrical Shells With Continuous Grading Reinforcement,” Steel Compos. Struct., 10(4), pp. 349–360. [CrossRef]
Alibeigloo, A., Kani, A. M., and Pashaei, M. H., 2012, “Elasticity Solution for the Free Vibration Analysis of Functionally Graded Cylindrical Shell Bonded to Thin Piezoelectric Layers,” Int. J. Pressure Vessels Piping, 89, pp. 98–111. [CrossRef]
Liew, K. M., He, X. Q., Ng, T. Y., and Kitipornchai, S., 2002, “Active Control of FGM Shells Subjected to a Temperature Gradient Via Piezoelectric Sensor/Actuator Patches,” Int. J. Numer. Methods Eng., 55(6), pp. 653–668. [CrossRef]
Nanda, N., and Nath, Y., 2012, “Active Control of Delaminated Composite Shells With Piezoelectric Sensor/Actuator Patches,” Struct. Eng. Mech., 42(2), pp. 211–228. [CrossRef]
van Hulzen, J. R., Schitter, G., Van den Hof, P. M. J., and van Eijk, J., 2012, “Dynamics, Load Balancing, and Modal Control of Piezoelectric Tube Actuators,” Mechatronics, 22(3), pp. 282–294. [CrossRef]
Ootao, Y., 2009, “Transient Thermoelastic and Piezothermoelastic Problems of Functionally Graded Materials,” J. Therm. Stresses, 32(6–7), pp. 656–697. [CrossRef]
Wang, H. M., Liu, C. B., and Ding, H. J., 2009, “Exact Solution and Transient Behavior for Torsional Vibration of Functionally Graded Finite Hollow Cylinders,” Acta Mech. Sin., 25(4), pp. 555–563. [CrossRef]
Kapuria, S., Kumari, P., and Nath, J. K., 2010, “Efficient Modeling of Smart Piezoelectric Composite Laminates: A Review,” Acta Mech., 214(1–2), pp. 31–48. [CrossRef]
Qatu, M. S., Sullivan, R. W., and Wang, W. C., 2010, “Recent Research Advances on the Dynamic Analysis of Composite Shells: 2000–2009,” Compos. Struct., 93(1), pp. 14–31. [CrossRef]
Bernardini, G., Testa, C., and Gennaretti, M., 2012, “Optimal Design of Tonal Noise Control Inside Smart-Stiffened Cylindrical Shells,” J. Vib. Control, 18(8), pp. 1233–1246. [CrossRef]
Cao, Y., Sun, H. L., An, F. Y., and Li, X. D., 2012, “Active Control of Low-Frequency Sound Radiation by Cylindrical Shell With Piezoelectric Stack Force Actuators,” J. Sound Vib., 331(11), pp. 2471–2484. [CrossRef]
Aronov, B., Brown, D. A., Bachand, C. L., and Yan, X., 2012, “Analysis of Unidirectional Broadband Piezoelectric Spherical Shell Transducers for Underwater Acoustics,” J. Acoust. Soc. Am., 131(3), pp. 2079–2090. [CrossRef] [PubMed]
Ding, H. J., and Chen, W. Q., 2001, Three Dimensional Problems of Piezoelectricity, Nova Science Publishers, New York.
Gradshteyn, I. S., and Ryzhik, I. M., 2007, Table of Integrals, Series, and Products, 7th ed., Academic, New York.
Ezzat, M. A., 2008, “State Space Approach to Solids and Fluids,” Can. J. Phys., 86(11), pp. 1241–1250. [CrossRef]
Morse, P. M., 1981, Vibration and Sound, 2nd ed., McGraw-Hill, New York.
Hellweg, K. H., 1979, Landolt-Bornstein: Numerical Data and Functional Relationships in Science and Technology, Springer-Verlag, New York.
Ramirez, F., Heyliger, P. R., and Pan, E., 2006, “Free Vibration Response of Two-Dimensional Magneto-Electro-Elastic Laminated Plates,” J. Sound Vib., 292(3–5), pp. 626–644. [CrossRef]
Jiang, S. N., Li, X. F., Guo, S. H., Hu, Y. T., Yang, J. S., and Jiang, Q., 2005, “Performance of a Piezoelectric Bimorph for Scavenging Vibration Energy,” Smart Mater. Struct., 14(4), pp. 769–774. [CrossRef]
Bian, Z. G., Lim, C. W., and Chen, W. Q., 2006, “On Functionally Graded Beams With Integrated Surface Piezoelectric Layers,” Compos. Struct., 72(3), pp. 339–351. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic illustration of a cylindrical power transformer. The radially polarized actuator and sensor are respectively subject to an input voltage Vin and an electrical impedance Z, with the metal wall grounded.

Grahic Jump Location
Fig. 2

Variation of the nondimensional radiation resistance and reactance coefficients for the cylindrical transformer versus kfrso

Grahic Jump Location
Fig. 3

Spectrum of surface velocity of the transformer. The thickness ratio of metal core layer to piezoelectric actuator/sensor takes hm/hp = 1, 2, and 3. The electrical impedance is Z = (1 + i)Z0. The blank circle dots denote the SSM results.

Grahic Jump Location
Fig. 4

Spectrum of sound pressure at the transformer surface. The thickness ratio of metal core layer to piezoelectric actuator/sensor takes hm/hp = 1, 2, and 3. The electrical impedance is Z = (1 + i)Z0. The blank circle dots denote the SSM results.

Grahic Jump Location
Fig. 5

Spectrum of sound power level at the transformer surface. The thickness ratio of metal core layer to piezoelectric actuator/sensor takes hm/hp = 1, 2, and 3. The electrical impedance is Z = (1 + i)Z0. The blank circle dots denote the SSM results.

Grahic Jump Location
Fig. 6

Effects of electrical impedance on the sound power level of the transformer (hm/hp = 1).

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