On the Nonlinear Behavior of Piezoelectric Actuators

JVC/Journal of Vibration and Control

Volumn 10, Issue 3, 2004, Pages 387-398

  Arafa, M ^a   Baz, A ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Harmonic balance; Nonlinear behavior dynamics; Piezoelectric actuators

Indexed keywords

ACTUATORS; COMPUTER SIMULATION; CONTROL NONLINEARITIES; ELECTRIC EXCITATION; EQUATIONS OF MOTION; FEEDBACK CONTROL; FREQUENCIES; FRICTION; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PIEZOELECTRIC MATERIALS; VIBRATION CONTROL;

HARMONIC BALANCE (HB); PIEZOELECTRIC ACTUATORS (PA);

NONLINEAR SYSTEMS;

EID: 1642633718     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/1077546304033365     Document Type: Review

References (22)

1. Aurelle, N., 1996, "Nonlinearities dans les ceramiques piezoelectriques. Application aux transducteurs acoustiques de puissance," Ph.D. Thesis, L'Institut National des Sciences Appliquees de Lyon, France.
2. Bryant, M. D. and Keltie, R. F., 1986, "A characterization of the linear and non-linear dynamic performance of a practical piezoelectric actuator. Part 1: Measurements," Sensors and Actuators 9, 95-103.
3. Chan, K. H. and Hagood, N. W., 1994, "Modeling of nonlinear piezoceramics for structural actuation," Proceedings of the SPIE: Smart Structures and Intelligent Systems 2190, 194-205.
4. Damjanovic, D., 1997, "Stress and frequency dependence of the direct piezoelectric effect in ferroelectric ceramics," Journal of Applied Physics 82, 1788-1797.
5. Devonshire, A. F., 1954, "Theory of ferroelectrics," Philosophical Magazine 3 (10), 85-130.
6. Fan, J., Stoll, W. A. and Lynch, C. S., 1999, "Nonlinear constitutive behavior of soft and hard PZT: Experiments and modeling," Acta Materialia 47 (17), 4415-4425.
7. García, J. E., Pérez, R., Albareda, A., and Minguella, E., 2000, "Nonlinear behavior in a piezoelectric resonator: A method of analysis," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 47 (4), 921-928.
8. Ge, P. and Jouaneh, M., 1995, "Modeling hysteresis in piezoceramic actuators," Precision Engineering 17, 211-221.
9. Ghandi, K., 1998, "Nonlinear modeling and characterization techniques for phase transitions in electromechanically coupled devices," Ph.D. Thesis, MIT.
10. Ghandi, K. and Hagood, N. W., 1996, "Nonlinear finite element modeling of phase transitions in electromechanically coupled material," Proceedings of the SPIE: Mathematics and Control in Smart Structures 2715, 121-140.
11. Goldfarb, M. and Celanovic, N., 1997, "A lumped parameter electromechanical model for describing the nonlinear behavior of piezoelectric actuators," ASME Journal of Dynamic Systems, Measurement, and Control 119 (3), 478-485.
12. Guyomar, D., Aurelle, N., Richard, C., Gonnard, P., and Eyraud, L., 1994, "Nonlinearities in Langevin transducers," in Proceedings of the 1994 IEEE Ultrasonics Symposium, Vol. 2, pp. 925-928.
13. Guyomar, D., Aurelle, N., and Eyraud, L., 1997, "Piezoelectric ceramics nonlinear behavior. Application to Langevin transducer," Journal de Physique III 7 (6), 1197-1208.
14. Hayashi, C., 1985, Nonlinear Oscillations in Physical Systems, Princeton University Press, Princeton, NJ.
15. Joshi, S. P., 1992, "Nonlinear constitutive relations for piezoceramic materials," Smart Materials and Structures 1 (1), 80-83.
16. Lee, S. H., Royston, T. J., and Friedman, G., 2000, "Modeling and compensation of hysteresis and hysteretic energy dissipation in piezoceramic transducers for vibration control," Journal of Intelligent Material Systems and Structures 11(10), 781-790.
17. Mayergoyz, I. D., 1991, Mathematical Models of Hysteresis, Springer-Verlag, Berlin.
18. Pérez, R. and Albareda, A., 1996, "Analysis of nonlinear effects in a piezoelectric resonator," Journal of the Acoustical Society of America 100 (6), 3561-3569.
19. Royston, T. J. and Houston, B. H., 1998, "Modeling and measurement of nonlinear dynamic behavior in piezoelectric ceramics with application to 1-3 composites," Journal of the Acoustical Society of America 104 (5), 2814-2827.
20. Sirohi, J. and Chopra, I., 2000, "Fundamental behavior of piezoceramic sheet actuators," Journal of Intelligent Material Systems and Structures 11(1), 47-61.
21. Toupin, R. A., 1956, "The elastic dielectric," Journal of Rational Mechanics and Analysis 5 (6), 849-916.
22. Zhao, M. and Balachandran, B., 2000, "Actuator nonlinearities in interior acoustics control," in Proceedings of the Smart Structures Conference, SPIE, III, March 2000.