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Active vibration control: considering effect of electric field on coefficients of PZT patches

  • Received : 2014.08.23
  • Accepted : 2015.11.30
  • Published : 2015.12.25

Abstract

Piezoelectric coefficient and dielectric constant of PZT-5H vary with electric field. In this work, variations of these coefficients with electric field are included in finite element modelling of a cantilevered plate instrumented with piezoelectric patches. Finite element model is reduced using modal truncation and then converted into state-space. First three modal displacements and velocities are estimated using Kalman observer. Negative first modal velocity feedback is used to control the vibrations of the smart plate. Three cases are considered v.i.z case 1: in which variation of piezoelectric coefficient and dielectric constant with electric field is not considered in finite element model and not considered in Kalman observer, case 2: in which variation of piezoelectric coefficient and dielectric constant with electric field is considered in finite element model and not considered in Kalman observer and case 3: in which variation of piezoelectric coefficient and dielectric constant with electric field is considered in finite element model as well as in Kalman observer. Simulation results show that appreciable amount of change would appear if variation of piezoelectric coefficient and dielectric constant with r.m.s. value of electric field is considered.

Keywords

References

  1. ANSI/IEEE Std 176-1987 (1988), IEEE Standard on Piezoelectricity.
  2. Apte, D.A. and Ganguli, R. (2009), "Influence of temperature and high electric field on power consumption by piezoelectric actuated integrated structure", Comput. Mat. Cont., 329(1), 1-23.
  3. Baz, A. and Poh, S. (1988), "Performance of an active control system with piezoelectric actuators", J. Sound Vib., 126(2), 327-343. https://doi.org/10.1016/0022-460X(88)90245-3
  4. Birman, V. (2005), Physically nonlinear behaviour of piezoelectric actuators subject to high electric fields, final report, US army research, Feb.
  5. Bruant, I., Coffignal, G., Lene, F. and Verge, M. (2001), "Active control of beams structures with piezoelectric actuators and sensors: modeling and simulation", Smart Mater. Struct., 10(2), 404-408. https://doi.org/10.1088/0964-1726/10/2/402
  6. Cady, W.G. (1964), Piezoelectricity, vol 1, Dover Publications, New York.
  7. Cao, W., Cudney, H. and Waser, R. (1999), "Smart materials and structures", Proc. National Acad. American Sci.USA, 96, 8330-8331. https://doi.org/10.1073/pnas.96.15.8330
  8. Friswell, M. (2003), "Modal sensors and actuators for beam and plate structures", Smart Struct. Mat., 5050, 92-100.
  9. Gopal, M. (2010), Digital Control and State Variable Methods, (3rd Ed.), Tata McGraw Hill, New Delhi.
  10. Gupta, V., Sharma, M. and Thakur, N. (2012), "Active structural vibration control: robust to temperature variations", Mech. Syst. Signal. Pro., 33, 167-180. https://doi.org/10.1016/j.ymssp.2012.07.009
  11. Gupta, V., Sharma, M. and Thakur, N. (2011), "Active vibration control of a smart plate using a piezoelectric sensor-actuator pair at elevated temperatures", Smart Mater. Struct., 20, 105023-1 - 105023-13. https://doi.org/10.1088/0964-1726/20/10/105023
  12. Gupta, V., Sharma, M. and Thakur, N. (2011), "Mathematical modeling of actively controlled piezo smart structures:A review", Smart Struct. Syst., 8(3), 275-302. https://doi.org/10.12989/sss.2011.8.3.275
  13. Hu, J. (2012), "Vibration control of smart structure using sliding mode control with observer", J. Comput., 7(2), 411-418.
  14. Hu, T., Ma, L. and Lin, Z. (2007), "Active vibration control for uncertain time varying systems via output feedback", IEEE American Cont. Conf., July.
  15. Ikeda, T. (1996), Fundamentals of Piezoelectricity, Oxford University Press, New York.
  16. Kim, B., Washington, G.N. and Yoon, H.S. (2013), "Active vibration suppression of a 1D piezoelectric bimorph structure using model predictive sliding mode control", Smart Struct. Syst., 11(6), 623-635. https://doi.org/10.12989/sss.2013.11.6.623
  17. Kugal, V. D. and Cross, L.E. (1998), "Behavior of soft piezoelectric ceramics under high sinusoidal electric fields", J Appl. Phys., 84(5), 2815-2830. https://doi.org/10.1063/1.368422
  18. Li, S., Zhao, R., Li, J., Mo, Y. and Zhenyu, S. (2014), "DOB-based piezoelectric vibration control for stiffened plate considering accelerometer", Smart Struct. Syst., 14(3), 327-345. https://doi.org/10.12989/sss.2014.14.3.327
  19. Li, J. and Narita, Y. (2014), "Reduction of wind induced vibrations of a laminated plate with an active constrained layer", J. Vib. Control, 20(6), 901-912. https://doi.org/10.1177/1077546312472922
  20. Lin, C.Y. and Chan, C.M. (2013), "Hybrid proportional derivative/repetitive control for active vibration control of smart piezoelectric structure", J. Vib. Control, 19, 992-1003. https://doi.org/10.1177/1077546312436749
  21. Lin, C.C. and Huang, H.N. (1999), "Vibration control of beam and plates with bonded piezoelectric sensors and actuators", Comput. Struct., 73, 239-248. https://doi.org/10.1016/S0045-7949(98)00280-6
  22. Malgaca, L. and Karagulle, H. (2009), "Simulation and experimental analysis of active vibration control of smart beams under harmonic excitation", Smart Struct. Syst., 5(1), 55-68. https://doi.org/10.12989/sss.2009.5.1.055
  23. Masys, A.J., Ren, W., Yang, G. and Mukherjee, B.K. (2003), "Piezoelectric strain in lead zirconate titanate ceramics as a function of electric field, frequency and DC bias", J Appl. Phys., 94(2), 1155-1162. https://doi.org/10.1063/1.1587008
  24. Petyt, M. (1998), Introduction to Finite Element Vibration Analysis, (2nd Ed.), Cambridge University Press, New York.
  25. Raja, S., Sinha, P.K., Partap, G. and Bhattacharya, P. (2002), "Influence of one and two dimensional piezoelectric actuation on active vibration control of smart panels", Aerosp. Sci. Technol., 6(3), 209-206. https://doi.org/10.1016/S1270-9638(02)01153-7
  26. Sharma, M., Singh, S.P. and Sachdeva, B.L. (2005), "Fuzzy logic based modal space control of a cantilevered beam instrumented with piezoelectric patches", Smart Mater. Struct., 14(5), 1017-1024. https://doi.org/10.1088/0964-1726/14/5/040
  27. Sharma, M., Singh, S.P. and Sachdeva, B.L. (2007), "Modal control of a plate using fuzzy logic controller", Smart Mater. Struct., 16(4), 1331-1341. https://doi.org/10.1088/0964-1726/16/4/047
  28. Shin, C., Hong, C. and Jeong, W.B. (2013), "Active vibration control of beams using filtered velocity feedback controllers with moment pair actuators", J. Sound Vib., 332(12), 2910-2922. https://doi.org/10.1016/j.jsv.2012.12.037
  29. Sirohi, J. and Chopra, I. (2000), "Fundamental behavior of piezoceramic sheet actuators", J. Intel. Mat. Syst. Str., 11(1), 47-61. https://doi.org/10.1106/WV49-QP37-4Q1M-P425
  30. Smittakorn, W. and Heyliger, P.R. (2000), "A discrete-layer model of laminated hygrothermopiezoelectric plates", Mech. Compos. Mater., 7(1), 79-104.
  31. Wang, D., Fotinich, Y. and Carman, G.P. (1998), "Influence of temperature on electromechanical and fatigue behaviour of piezoelectric ceramics", J. Appl. Phys., 83(10), 5342-5350. https://doi.org/10.1063/1.367362
  32. Wang, Q.M., Zhang, T., Chen, Q. and Du, X.H. (2003), "Effect of DC bias field on complex materials coefficients of piezoelectric resonators", Sensor. Actuat. A- Phys., 109(10), 149-155. https://doi.org/10.1016/j.sna.2003.08.008
  33. Zabihollah, A., Sedagahti, R. and Ganesan, R. (2007), "Active vibration suppression of smart laminated beams using layer wise theory and optimal control strategy", Smart Mater. Struct., 16(6), 2190-2201. https://doi.org/10.1088/0964-1726/16/6/022
  34. Zenz, G., Berger, W., Nader M. and Krommer, M. (2013), "Design of piezoelectric transducer arrays for passive and active modal control of thin plates", Smart Struct. Syst., 12(5), 547-577. https://doi.org/10.12989/sss.2013.12.5.547
  35. Zhang, Q.M., Wang, H. and Zhao, J. (1995), "Effect of driving field and temperature on the response behaviour of ferroelectric actuator and sensor materials", J. Intel. Mat. Syst. Str., 6(1), 84-93. https://doi.org/10.1177/1045389X9500600111
  36. Zhang, T., Li, H.G. and Cai, G.P. (2013), "Hysteresis identification and adaptive vibration control for a smart cantilevered beam by a piezoelectric actuators", Sensor. Actuat. A- Phys., 203, 168-175. https://doi.org/10.1016/j.sna.2013.08.042

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