The electromechanical coupling coefficient (EMCC) for the vibrations of inelastic piezoelectric bodies is defined. The effect of energy dissipation is taken into account by introducing integral loss characteristic. The definition of EMCC corresponds to Ulitko’s energetic EMCC, which is interpreted as the limiting case when losses are neglected.
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References
D. Berlinkur, D. Kerran, and G. Jaffe, “Piezoceramic electric and piezomagnetic materials and their application in transducers,” in: W. P. Mason (ed.), Physical Acoustics, Principles and Methods, Vol. 1, Part A, Methods and Devices, Academic Press, New York–London (1964).
V. G. Karnaukhov and V. V. Mikhailenko, Nonlinear Thermomechanics of Piezoelectric Inelastic Bodies under Monoharmonic Loading [in Russian], ZhGTU, Zhitomir (2005).
A. N. Guz (ed.), Mechanics of Coupled Fields in Structural Members [in Russian], in 5 vols., Naukova Dumka, Kyiv (1987–1989).
S. I. Pugachev (ed.), Piezoceramic Transducers [in Russian], Sudostroenie, Leningrad (1984).
D. Berlincourt, “Piezoelectric Crystals and Ceramics,” in: O. Mattiat (ed.), Ultrasonic Transduñer Materials, issue 2, Plenum Press, New York (1971), pp. 63–123.
D. Boucher, M. Lagiez, and C. Maerfeld, “Computation of the vibrational modes for piezoelectric array transducers using a mixed finite element – perturbation method,” IEEE Trans. Sonics and Ultrasonics, 28, No. 5, 318–330 (1981).
V. G. Karnaukhov, V. I. Kozlov, and T. V. Karnaukhova, “Thermal failure of flexible rectangular viscoelastic plates with distributed sensors and actuators,” Int. Appl. Mech., 54, No. 1, 85–93 (2018).
V. G. Karnaukhov, V. I. Kozlov, and T. V. Karnaukhova, “Influence of anisotropy and transverse-shear strains on the performance of piezoelectric sensors and actuators,” Int. Appl. Mech., 54, No. 3, 331–338 (2018).
V. G. Karnaukhov, V. I. Kozlov, and T. V. Karnaukhova, “Critical electric load on a hinged thermoviscoelastic rectangular plate with piezoelectric sensors and actuators,” Int. Appl. Mech., 55, No. 6, 596–600 (2019).
V. G. Karnaukhov and V. V. Mikhailenko, “Nonlinear single-frequency vibrations and dissipative heating of inelastic piezoelectric bodies,” Int. Appl. Mech., 38, No. 5, 521–547 (2002).
A. Safari and E. K. Akdogan (ed.), Piezoelectric and Acoustic Materials for Transducer Applications, Springer, New York (2008).
A. F. Ulitko, “Theory of electromechanical energy conversion in nonuniformly deformable piezoceramics,” Int. Appl. Mech., 13, No. 10, 1055–1062 (1977).
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Translated from Prikladnaya Mekhanika, Vol. 56, No. 2, pp. 120–129, March–April 2020.
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Mikhailenko, V.V., Karnaukhova, T.V. On the Energy Theory of the Electromechanical Coupling Coefficient for Vibrations of Piezoelectric Bodies. Int Appl Mech 56, 231–239 (2020). https://doi.org/10.1007/s10778-020-01009-7
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DOI: https://doi.org/10.1007/s10778-020-01009-7