A generalization and subsequent development of experimental techniques, including methods of studying the phase-frequency relations between the measured components of admittance and instantaneous power are considered. The conditions of electric loading where electric currents, voltages, or instantaneous powers of constant amplitude in the piezoresonators are specified are numerically modeled. It is particularly established that the advanced Mason circuit with additional switch allows acquiring much more data on the forced vibrations of piezoceramic transducers than the classical circuit. The measured (at an arbitrary frequency) voltage drop across the piezoelement, its pull-up resistor, and at the input of the measuring circuit allow determining, with high accuracy, the current, conductivity, impedance, instantaneous power, and phase shifts when the amplitudes of electric current and voltage are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. A. Akopyan, A. N. Solov’ev, and S. N. Shevtsov, Methods and an Algorithm for Determining the Full Set of Compatible Material Constants of Piezoceramic Materials [in Russian]. Izd. YuFU, Rostov-on-Don (2008).
O. I. Bezverkhii, L. P. Zinchuk, and V. L. Karlash, “Effect of electric loading on the forced vibrations of transversely polarized piezoelectric bars,” Elektron. Zv’yazok, 20, No. 4 (87), 77–88 (2015).
I. A. Glozman, Piezoceramics [in Russian], Energiya, Moscow (1972).
GOST 12370-72. Piezoceramic Materials, Testing Methods [in Russian], Izd. Standartov, Moscow (1973).
V. L. Karlash, “Methods for determining the coupling coefficients for and energy loss in piezoceramic vibrators,” Akust. Visn., 15, No. 4, 24–38 (2012).
M. O. Shul’ga and V. L. Karlash, Resonant Electromechanical Vibrations of Piezoelectric Plates [in Ukrainian], Naukova Dumka, Kyiv (2008).
M. O. Shulga and V. L. Karlash, “Measuring the admittance of piezoceramic elements in Mason’s quadripole circuit and its modifications,” in: Abstracts 4th Int. Sci.-Tech. Conf. on Sensors, Devices, and Systems, Cherkasy–Gurzuf (2008), pp. 54–56.
M. O. Shul’ga and V. L. Karlash, “Amplitude–phase characteristics of radial vibrations of a thin piezoceramic disk at resonances,” Dop. NAN Ukrainy, No. 9, 0.80–86 (2013).
J. Erhart, “Parameters and design optimization of the ring piezoelectric ceramic transformer,” J. Adv. Dielect., 5, No. 3, 1550022 (2015).
J. Erhart and S. Tutu, “Effective electromechanical coupling for the partially electroded ceramic resonators of different geometries,” Ann. “DUNAREA DE JOS” Univ. of Galati Fascicle IX, Metallurgy and Material Science, No. 2, 7–16 (2015).
R. Holland, “Representation of dielectric, elastic and piezoelectric losses by complex coefficients,” IEEE Trans. SU, SU-14, 18–20 (1967).
“IRE Standards on Piezoelectric Crystals: Measurements of Piezoelectric Ceramics. 1961,” Proñ. IRE, 49, 1161–1169 (1961).
V. L. Karlash, “Admittance–frequency response of a thin piezoceramic half-disk,” Int. Appl. Mech., 45, No. 10, 1120–1126 (2009).
V. L. Karlash, “Energy losses in piezoceramic resonators and its influence on vibrations’ characteristics,” Electron. Commun., 19, No. 2 (79), 82–94 (2014).
V. L. Karlash, “Modeling of energy-loss piezoceramic resonators by electric equivalent networks with passive elements,” Math. Model. Comput., 1, No. 2, 163–177 (2014).
A. V. Mezheritsky, “Elastic, dielectric and piezoelectric losses in piezoceramics; how it works all together,” IEEE Trans. UFFC, 51, No. 6, 695–797 (2004).
N. A. Shul’ga and V. L. Karlash, “Measuring the amplitudes and phases of vibrations of piezoceramic structural elements,” Int. Appl. Mech., 51, No. 3, 350–359 (2015).
S. Tutu and J. Erhart, “Bar piezoelectric ceramic transformers working in longitudinal mode,” Ferroelectrics, 486, No. 1, 13–24 (2015).
K. Uchino, Yu. Zhuang, and S. O. Ural, “Loss determination methodology for a piezoelectric ceramic: new phenomenological theory and experimental proposals,” J. Adv. Dielectric., 1, No. 1, 17–31 (2011).
S. O. Ural, S. Tunñdemir, Yu. Zhuang, and K. Uchino, “Development of a high power piezoelectric characterization system and its application for resonance/antiresonance mode characterization,” Jpn. J. Appl. Phys., 48, 056509 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 53, No. 5, pp. 129–139, September–October, 2017.
Rights and permissions
About this article
Cite this article
Karlash, V.L. Using Passive Two-Port Networks to Study the Forced Vibrations of Piezoceramic Transducers. Int Appl Mech 53, 595–602 (2017). https://doi.org/10.1007/s10778-017-0841-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-017-0841-3