DocumentCode :
874469
Title :
Modeling of nonlinear responses for reciprocal transducers involving polarization switching
Author :
Wang, Linxiang ; Willatzen, Morten
Author_Institution :
Mads Clausen Inst. for Product Innovation, Univ. of Southern Denmark, Sonderborg
Volume :
54
Issue :
1
fYear :
2007
fDate :
1/1/2007 12:00:00 AM
Firstpage :
177
Lastpage :
189
Abstract :
Nonlinearities and hysteresis effects in a reciprocal PZT transducer are examined by use of a dynamical mathematical model on the basis of phase-transition theory. In particular, we consider the perovskite piezoelectric ceramic in which the polarization process in the material can be modeled by Landau theory for the first-order phase transformation, in which each polarization state is associated with a minimum of the Landau free-energy function. Nonlinear constitutive laws are obtained by using thermodynamical equilibrium conditions, and hysteretic behavior of the material can be modeled intrinsically. The time-dependent Ginzburg-Landau theory is used in the parameter identification involving hysteresis effects. We use the Chebyshev collocation method in the numerical simulations. The elastic field is assumed to be coupled linearly with other fields, and the nonlinearity is in the E-D coupling. We present numerical results for the reciprocal-transducer system and identify the influence of nonlinearities on the system dynamics at high and low frequency as well as electrical impedance effects due to tuning by a series inductance. It is found that nonlinear effects are not important at high frequencies (1 MHz) subject to high-input voltages, but they become important under high-voltage and off-resonance conditions
Keywords :
Chebyshev approximation; Ginzburg-Landau theory; free energy; hysteresis; lead compounds; numerical analysis; phase transformations; piezoceramics; piezoelectric transducers; titanium compounds; zirconium compounds; Chebyshev collocation method; Landau free-energy function; PZT; PbZrO3TiO3; dynamical mathematical model; elastic field; electrical impedance effects; first-order phase transformation; hysteresis effects; nonlinear constitutive laws; nonlinear responses; numerical simulation; perovskite piezoelectric ceramic; phase-transition theory; polarization process; polarization switching; reciprocal PZT transducers; reciprocal-transducer system; series inductance; thermodynamical equilibrium conditions; time-dependent Ginzburg-Landau theory; Ceramics; Chebyshev approximation; Couplings; Frequency; Hysteresis; Mathematical model; Parameter estimation; Piezoelectric materials; Piezoelectric polarization; Piezoelectric transducers; Computer Simulation; Computer-Aided Design; Electrochemistry; Electronics; Equipment Design; Equipment Failure Analysis; Models, Theoretical; Nonlinear Dynamics; Transducers;
fLanguage :
English
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0885-3010
Type :
jour
DOI :
10.1109/TUFFC.2007.223
Filename :
4037312
Link To Document :
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