Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Robust inverse identification of piezoelectric and dielectric effective behaviors of a bonded patch to a composite plate

  • Received : 2013.05.09
  • Accepted : 2013.06.30
  • Published : 2013.11.25
⟨ Previous Next ⟩

Abstract

Piezoelectric and dielectric behaviors of a piezoceramic patch adhesively centered on a carbon composite plate are identified using a robust multi-objective optimization procedure. For this purpose, the patch piezoelectric stress coupling and blocked dielectric constants are automatically evaluated for a wide frequency range and for the different identifiable behaviors. Latters' symmetry conditions are coded in the design plans serving for response surface methodology-based sensitivity analysis and meta-modeling. The identified constants result from the measured and computed open-circuit frequencies deviations minimization by a genetic algorithm that uses meta-model estimated frequencies. Present investigations show that the bonded piezoceramic patch has effective three-dimensional (3D) orthotropic piezoelectric and dielectric behaviors. Besides, the sensitivity analysis indicates that four constants, from eight, dominate the 3D orthotropic behavior, and that the analyses can be reduced to the electromechanically coupled modes only; therefore, in this case, and if only the dominated parameters are optimized while the others keep their nominal values, the resulting piezoelectric and dielectric behaviors are found to be transverse-isotropic. These results can help designing piezoceramics smart composites for various applications like noise, vibration, shape, and health control.

Keywords

References

  1. Araujo, A.L., Lopes, H.M.R, Vaz, M.A.P., Mota Soares, C.M., Herskovits, J. and Pedersen, P. (2006),"Parameter estimation in active plate structures", Comput.Struct., 84(22-23), 1471-1479. https://doi.org/10.1016/j.compstruc.2006.01.017
  2. Araujo, A.L., Mota Soares, C.M., Friedmann, H., Rohner, J. and Henkel, F.O. (2009), "Optimal location of piezoelectric patches and identification of material properties in laminated composite structures", Proceedings of the 4th ECCOMAS Thematic Conference on Smart Structures and Materials, Porto, Portugal, 13-15 July.
  3. Araujo, A.L., Mota Soares, C.M., Herskovits, J. and Pedersen, P. (2002),"Development of a finite element model for the identification of mechanical and piezoelectric properties through gradient and experimental data", Compos. Struct., 58(3), 307-318. https://doi.org/10.1016/S0263-8223(02)00192-7
  4. Araujo, A.L., Mota Soares, C.M., Herskovits, J. and Pedersen, P. (2009), "Estimation of piezoelastic and viscoelastic properties in laminated structures", Compos. Struct., 87(2), 168-174. https://doi.org/10.1016/j.compstruct.2008.05.009
  5. Araujo, A.L., Mota Soares, C.M., Herskovits, J. and Pedersen, P. (2010), "Inverse techniques for the characterization of mechanical and piezoelectric properties of composite and adaptive structures: a survey", Computational Technology Reviews, 2, 103-123, doi:10.4203/ctr.2.5.
  6. Battaglia, G.J. and Maynard, J.M. (1996), "Mean square error: a useful tool for statistical process management", AMP J. Tech., 34, 1256-1260.
  7. Batzmaz, I. and Tunali, S. (2003), "Small response surface designs for meta-model estimation", Eur. J. Oper. Res., 145, 455-470. https://doi.org/10.1016/S0377-2217(02)00207-2
  8. Benjeddou, A. (2009), "New insights in piezoelectric free-vibrations using simplified modeling and analyses", Smart Struct. Syst., 5(6), 591-612. https://doi.org/10.12989/sss.2009.5.6.591
  9. Benjeddou, A. (2010), "Approximate evaluation of the modal effective electromechanical coupling coefficient", Proceedings of the IUTAM Symposium on Multifunctional Material Structures and Systems, (Eds., B. Dattaguru, S. Gopalakrishnan and V.K. Aatre), Springer, Dordrecht.
  10. Chevallier, G. and Benjeddou, A. (2009), "Effective electromechanical coupling in piezoelectric composite structures" (in French), Rev. Compos. Mater. Av., 19(3), 339-364.
  11. Chevallier, G., Ghorbel, S. and Benjeddou, A. (2008), "A benchmark for free vibration and effective coupling of thick piezoelectric smart structures", Smart Mater. Struct., 17(6), 065007. https://doi.org/10.1088/0964-1726/17/6/065007
  12. Deb, K. (2007), "Current trends in evolutionary multi-objective optimization", Int. J. Simul. Multidisci. Des. Optim., 1(1), 1-8. https://doi.org/10.1051/ijsmdo:2007001
  13. Deb, K., Pratep, A., Agrawal, S. and Meyarivan, T. (2002), "A fast and elitist multi-objective genetic algorithm: NSGA-II", IEEE T. Evolut.Comput., 6(2), 182-197. https://doi.org/10.1109/4235.996017
  14. Hamdi, M., Ghanmi, S., Benjeddou, A. and Nasri, R. (2010), "Multi-objective optimization-based identification of the three dimensional elastic behavior of a multilayer composite" (in French), Proceedings of the 1st Conference on Passive and Active Mechanical Innovations in Analysis & Design of Mechanical Systems, Djerba, Tunisia, 22-24 March.
  15. Hamdi, M., Ghanmi, S., Benjeddou, A. and Nasri, R. (2012), "Simulation-test frequency updating-based inverse identification of the three dimensional elastic behavior of a piezoceramic patch bonded to a composite plate" (in French), Proceedings of the 2nd Tunisian Congress on Mechanics, Sousse, Tunisia, 19-21 March.
  16. Hamdi, M., Ghanmi, S., Benjeddou, A. and Nasri, R. (2013), "Robust electromechanical finite element updating for piezoelectric structures effective coupling prediction", J. Intel. Mat. Syst. Struct., DOI: 10.1177/1045389X13484099.
  17. Montemurro, M., Nasser, H., Koutsawa, Y., Belouettar, S., Vincinti, A. and Vannucci, P. (2012), "Identification of electromechanical properties of piezoelectric structures through evolutionary optimization techniques", Int. J. Solids Struct., 49(13), 1884-1892. https://doi.org/10.1016/j.ijsolstr.2012.03.031
  18. Myers, R.H. and Montgomery, D.C. (2002), Response surface methodology, 2nd Ed, Wiley, New York.
  19. Wesolowski, M. and Barkanov, E. (2012), "Model errors influence on identified composite materials properties", Compos. Struct., 94(9), 2716-2723. https://doi.org/10.1016/j.compstruct.2012.03.030

Cited by

  1. Robust inverse identification of the effective three-dimensional elastic behaviour of a piezoceramic patch bonded to a multilayer unidirectional fibre composite vol.151, 2016, https://doi.org/10.1016/j.compstruct.2016.02.004
  2. Free vibration of actual aircraft and spacecraft hexagonal honeycomb sandwich panels: A practical detailed FE approach vol.6, pp.2, 2013, https://doi.org/10.12989/aas.2019.6.2.169