DOI QR코드

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Point load actuation on plate structures based on triangular piezoelectric patches

  • 투고 : 2013.03.29
  • 심사 : 2013.12.13
  • 발행 : 2014.04.25

초록

This paper investigates the design of a perfect point load actuator based on flat triangular piezoelectric patches. Applying a difference of electric potential between the electrodes of a triangular patch leads to point loads at the tips and distributed moments along the edges of the electrodes. The previously derived analytical expressions of these forces show that they depend on two factors: the width over height (b/l) ratio of the triangle, and the ratio of the in-plane piezoelectric properties ($e_{31}/e_{32}$) of the active layer of the piezoelectric patch. In this paper, it is shown that by a proper choice of b/l and of the piezoelectric properties, the moments can be cancelled, so that if one side of the triangle is clamped, a perfect point load actuation can be achieved. This requires $e_{31}/e_{32}$ to be negative, which imposes the use of interdigitated electrodes instead of continuous ones. The design of two transducers with interdigitated electrodes for perfect point load actuation on a clamped plate is verified with finite element calculations. The first design is based on a full piezoelectric ceramic patch and shows superior actuation performance than the second design based on a piezocomposite patch with a volume fraction of fibres of 86%. The results show that both designs lead to perfect point load actuation while the use of an isotropic PZT patch with continuous electrodes gives significantly different results.

키워드

참고문헌

  1. Burke, S.E. and Hubbard, J.E. (1987), "Active vibration control of a simply supported beam using a spatially distributed actuator", IEEE Contr. Syst. Mag., 7(4), 25-30.
  2. Carbonari, R.C., Silva, E.C.N. and Paulino, G.H. (2009), "Multi-actuated functionally graded piezoelectric micro-tools design: a multiphysics topology optimization approach", Int. J. Numerical Meth. Eng., 77(3), 301-336. https://doi.org/10.1002/nme.2403
  3. Chesne, S., Chomette, B. and Pezerat, C. (2008), "Measurements of the bending moment at boundaries of a structure", Proceedings of the Acoustics 08, Paris, France.
  4. Deraemaeker, A., Nasser, H., Benjeddou, A. and Preumont, A. (2009), "Mixing rules for the piezoelectric properties of Macro Fiber Composites", J. Intell. Mater. Syst. Struct., 20(12), 1475-1482. https://doi.org/10.1177/1045389X09335615
  5. Deraemaeker, A., Tondreau, G. and Bourgeois, F. (2011), "Equivalent loads for two-dimensional distributed anisotropic piezoelectric transducers with arbitrary shapes attached to thin plate structures", J. Acoust. Soc. Am., 129(2), 681-690. https://doi.org/10.1121/1.3523338
  6. Donoso, A. and Bellido, J.C. (2009), "Tailoring distributed modal sensors for in-plane modal filtering", Smart Mater. Struct., 18(3), 1-4.
  7. Ewins, D.J. (1984), Modal testing: theory and practice, Research Studies Press LTD, Letchworth.
  8. Friswell, M.I. and Adhikari, S. (2010a), "Sensor shape design for piezoelectric cantilever beams to harvest vibration energy", J. Appl. Phys., 108(1), 014901, 1-6. https://doi.org/10.1063/1.3457330
  9. Friswell, M.I. and Adhikari, S. (2010b), "Structural health monitoring using shaped sensors", Mech. Syst. Signal Pr., 24(3), 623-635. https://doi.org/10.1016/j.ymssp.2009.10.009
  10. Gardonio, P. and Elliott, S.J. (2005), "Smart panels with velocity feedback control systems using triangularly shaped strain actuators", J. Acoust. Soc. Am., 117(4), 2046-2064. https://doi.org/10.1121/1.1863092
  11. Gardonio, P., Aoki, Y. and Elliott, S.J. (2010), "A smart panel with active damping wedges along the perimeter", Smart Mater. Struct., 19(6), 1-15.
  12. Hagood, N., Kindel, R., Ghandi, K. and Gaudenzi, P. (1993), "Improving transverse actuation of piezoceramics using interdigitated surface electrodes", Proceedings of the SPIE 1917, Alburquerque, USA.
  13. Isarakorn, D., Briand, D., Sambri, A., Gariglio, S., Triscone, J.M., Guy, F., Reiner, J.W., Ahn, C.H. and de Rooij, N.F. (2011), "Finite elements analysis and experiments on a silicon membrane actuated by an epitaxial PZT film for localized-mass sensing applications", Sensor. Actuat. B - Chem., 153(1), 54-63. https://doi.org/10.1016/j.snb.2010.10.009
  14. Lee, C.K. and Moon, F.C. (1990a), "Modal sensors/actuators", J. Appl. Mech.- T ASEM, 57 (2), 434-441. https://doi.org/10.1115/1.2892008
  15. Lee, C.K. (1990b), "Theory of laminated piezoelectric plates for the design of distributed sensors/actuators, part I: governing equations and reciprocal relationships", J. Acoust. Soc. Am., 87(3), 1144-1158. https://doi.org/10.1121/1.398788
  16. Lee, C.K., Chiang, W.W. and O'Sullivan, T.C. (1991), "Piezoelectric modal actuator/sensor pairs for critical active damping vibration control", J. Acoust. Soc. Am., 90(1), 374-384. https://doi.org/10.1121/1.401260
  17. Lin, Z. and Wang, X. (2013), "Development of functionally graded flextensional piezoelectric devices designed by topology optimization", Proceedings of the WCSMO-10, Orlando, USA.
  18. Newnham, R.E., Bowen, L.J., Klicker, K.A. and Cross, L.E. (1980), "Composite piezoelectric transducers", Mater. Design, 2(2), 93-106. https://doi.org/10.1016/0261-3069(80)90019-9
  19. Park, G., Sohn, H., Farrar, C.R. and Inman, D.J. (2003), "Overview of piezoelectric impedance-based health monitoring and path forward", Shoch Vib. Digest, 35(6), 451-463. https://doi.org/10.1177/05831024030356001
  20. Paulitsch, C., Gardonio, P. and Elliott, S.J. (2007), "Active vibration damping using an inertial electrodynamic actuator", J. Vib. Acoust., 129(1), 39-47. https://doi.org/10.1115/1.2349537
  21. Preumont, A. (2002), Vibration control of active structures, an introduction, Kluwer Academic Publishers, Dordrecht.
  22. Preumont, A., de Marneffe, B., Deraemaeker, A. and Bossens, F. (2008), "The damping of a truss structure with a piezoelectric transducer", Comput. Struct., 86(3-5), 227-239.
  23. Raghavan, A. and Cesnik, C.E.S. (2007), "Review of guided-wave structural health monitoring", J. Vib. Acoust., 39(2), 91-114.
  24. Raman, S.R., Tondreau, G. and Deraemaeker, A. (2012), "Design of a point load actuator based on a triangular piezoelectric patch", Proceedings of the EACS2012, Genoa, Italy.
  25. Schiller, N.H., Cabell, R.H. and Fuller, C.R. (2008), "Decentralized control of sound radiation using a high authority/low-authority control strategy with anisotropic actuators", Proceedings of the Acoustics 08, Paris, France.
  26. Sullivan, J.M., Hubbard, J.E. and Burke, S.E. (1996), "Modelling approach for two-dimensional distributed transducers of arbitrary spatial distribution", J. Acoust. Soc. Am., 99, 2965-2974. https://doi.org/10.1121/1.414861
  27. Sullivan, J.M., Hubbard, J.E. and Burke, S.E. (1997) "Distributed sensor/actuator design for plates: spatial shape and shading as design parameters", J. Sound Vib., 203, 473-493. https://doi.org/10.1006/jsvi.1996.0877
  28. Williams, B., Park, G., Inman, D. and Wilkie, W. (2002), "An overview of composite actuators with piezoceramic fibers", Proceedings of the IMACXX, Los Angeles, USA.

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