Electro-Elastic Modeling of Annular Piezoceramic Actuating Disk Transducers

Abstract

The static and dynamic characteristics of the annular piezoceramic actuating disk transducers are theoretically modeled and analyzed. The transducer consists of an annular piezoceramic disk laminated on an unequal radius isotropic elastic disk to form the asymmetric configuration. Piezoceramic actuator excites the transducer in extension and flexure coupled vibrations. An electroelastic theory is developed to analyze the mechanical, electrical and electromechanical behaviors. Resonant and antiresonant frequencies and the electromechanical coupling coefficients are computed and shown sensitive to geometric parameters of the elastic and piezoceramic materials. Numerical results are presented by the easy-to-use figures. Comparisons between experimental measurements of the transducer's resonant and antiresonant frequencies and modeling results exhibit a good agreement.

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References

Adelan, N. T. and Stavsky, Y 1980. "Flexural-extensional behavior of composite piezoelectric circular plates," J. Acoust. Soc. Am., 67(3):819-822.

Batra, R. C. and Liang, X. Q. 1997. "The vibration of a rectangular laminated elastic plane with embedded piezoelectric sensors and actuators," Computers and Structures, 63(2):203-216.

Chang, S. H. , Rogacheva, N. N. and Chou, C. C. 1995. "Analysis of methods of determining electromechanical coupling coefficients for piezoelectric elements," IEEE Trans. Ultrason., Ferro., and Freq. Control, 42(4):630-640.

Chang, S. H. and Chou, C. C. 1999. "Electromechanical analysis of an asymmetric piezoelectric/elastic laminated structure: theory and experiment," IEEE Trans. Ultrason., Ferro., and Freq. Control, to appear in March 1999.

Chang, S. H. and Du, B. C. 1998. "A precision piezodriven micropositioner mechanism with large travel range," Rev. Sci. Instrum., 69(4):1785-1791.

Chang, S. H. and Tung, Y C. 1999. "Electroelastic characteristics of asymmetric rectangular piezoelectric laminae," IEEE Trans. Ultrason., Ferro., and Freq. Control, 46(4):950-960.

Dosch, J. J. , Inman, D. J. and Garcia, E. 1992. "A self-sensing piezoelectric actuator for collocated control," J. Intelligent Mat. Sys. and Struct., 3:166-185.

Evseichik, Yu. B. , Rudnitskii, S. I. , Sharapov, V. M. and Shul'ga, N. A. 1991. "Sensitivity of a metal-piezoceramic bimorph transducer," Sov. Appl. Mech., 26(12):1174-1181.

Lee, C. K. 1997. "Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: governing equations and reciprocal relationships," J. Acoust. Soc. Am., 87:1144-1158.

10.

Liang, C. and Rogers, C. A. 1997. "Transient electro-mechanics of piezoelectric actuator driven active mechanical systems," J. Intelligent Mat. Sys. and Struct., 8(4):374-379.

11.

Mason, W. P. 1950. Piezoelectric Crystals and Their Applications to Ultrasonics, Van Nostrand, New York.

12.

Matsko, M. G. M. , Xu, Q. X. C. and Newnham, R. E. 1995. "Zig-zag piezoelectric actuators: geometrical control of displacement and resonance," J. Intelligent Mat. Sys. and Struct., 6(6):783-786.

13.

Mitra, R. 1996. "On the performance characterization of ultrasonic air transducers with radiating membranes," IEEE Trans. Ultrason., Ferro., and Freq. Control, 43(5):858-863.

14.

Rogacheva, N. N. 1994. Theory of Piezoelectric Shells and Plates, CRC Press, Boca Raton.

15.

Rudnitskii, S. I. , Sharapov, V. M. and Shul'ga, N. A. 1991. "Vibration of a bimorphic disk transducer of the metal-piezoceramic type," Sov. Appl. Mech., 26(10):973-980.

16.

Satoh, K. , Ohnishi, K. , Sakurai, K. and Tomikawa, Y 1996. "Experimental considerations on the piezoelectric vibratory gyrosensor using a trident tuning-fork resonator," Jpn. J. Appl. Phys., 35(8):4417-4420.

17.

Stavsky, Y. and Loewy R. 1971. "Axisymmetric vibrations of isotropic composite circular plates," J. Acoust. Soc. Am., 49(5):1542-1542.

18.

Tzou, H. S. and Zhong, J. P. 1993. "Electromechanical and vibrations of piezoelectric shell distributed systems," J. Dyna. Sys. Measure. and Control, ASME, 115:506-517.

19.

Yang, S. M. and Jeng, J. A. 1997. "Vibration control of a composite plate with embedded optical fiber sensor and piezoelectric actuator," J. Intelligent Mat. Sys. and Struct., 8(5):393-400.