DOI QR코드

DOI QR Code

Vibration mitigation of composite laminated satellite solar panels using distributed piezoelectric patches

  • Foda, M.A. (Mechanical Engineering Department College of engineering, King Saud University) ;
  • Alsaif, K.A. (Mechanical Engineering Department College of engineering, King Saud University)
  • 투고 : 2011.09.23
  • 심사 : 2012.06.21
  • 발행 : 2012.08.25

초록

Satellites with flexible lightweight solar panels are sensitive to vibration that is caused by internal actuators such as reaction or momentum wheels which are used to control the attitude of the satellite. Any infinitesimal amount of unbalance in the reaction wheels rotors will impose a harmonic excitation which may interact with the solar panels structure. Therefore, quenching the solar panel's vibration is of a practical importance. In the present work, the panels are modeled as laminated composite beam using first-order shear deformation laminated plate theory which accounts for rotational inertia as well as shear deformation effects. The vibration suppression is achieved by bonding patches of piezoelectric material with suitable dimensions at selected locations along the panel. These patches are actuated by driving control voltages. The governing equations for the system are formulated and the dynamic Green's functions are used to present an exact yet simple solution for the problem. A guide lines is proposed for determining the values of the driving voltage in order to suppress the induced vibration.

키워드

참고문헌

  1. Abramovich, H. and Livshits, A. (1993), "Dynamic behavior of cross-ply laminated beams with piezoelectric layers", Comp. Struct., 25(1-4), 371-379. https://doi.org/10.1016/0263-8223(93)90184-R
  2. Abo-Hilal, M. (2003), "Forced vibration of Euler-Bernoulli beams by means of dynamic green function", J. Sound Vib., 267(2), 191-207. https://doi.org/10.1016/S0022-460X(03)00178-0
  3. Bailey, T. and Hubbard, S.J. Jr. (1985), "Distributed piezoelectric polymer active vibration control of a cantilever beam", J. Guid. Control. Dynam., 8, 605-611. https://doi.org/10.2514/3.20029
  4. Banks, H.T., Smith. R.C. and Wang, Y. (1996), Smart material structures: modeling, estimation and control, Wiley, Paris, France.
  5. Bergman, L.A. and Hyatt, J.H. (2003), "Green functions for transversely vibrating uniform beam Euler-Bernoulli beams subject to constant axial preload", J. Sound Vib.,134, 175-180.
  6. Chen, C.Q. and Shen, Y.P. (1997), "Optimal control of active structures with piezoelectric modal sensors and actuators", Smart Mater. Struct., 6(4), 403-409. https://doi.org/10.1088/0964-1726/6/4/003
  7. Foda, M.A., Almajid, A.A. and ElMadany, M.M. (2010), "Vibration suppression of composite laminated beams using distributed piezoelectric patches", Smart Mat. Struct., 19(11), 115018-115026. https://doi.org/10.1088/0964-1726/19/11/115018
  8. Foda, M.A. and Alsaif, K.A. (2009), "Control of lateral and angular vibrations at desired locations along vibrating beam", J. Vib. control., 15(11), 1649-1678. https://doi.org/10.1177/1077546309103256
  9. Garcia, E., Dosch, J. and Inman, D. (1992), "The application of smart structures to the vibration suppression problem", J. Intel. Mater. Syst. Struct., 3(4), 659- 667. https://doi.org/10.1177/1045389X9200300408
  10. Gibbs, G.P. and Fuller, C.R. (1992), "Excitation of thin beams using asymmetric piezoelectric actuators", J. Acoust. Soc. Am., 92, 3221-3227. https://doi.org/10.1121/1.404172
  11. Hagood, N.W. and Chung, W.H. (1990), "Modeling of piezoelectric actuator dynamics for active structural control", J. Intel. Mater. Sys. Struct., 1, 327-354. https://doi.org/10.1177/1045389X9000100305
  12. Honda, S, kajiwara, I and Narita, Y. (2011), "Multidisciplinary design optimization for vibration control of smart laminated composite structures", J. Intel. Mater. Sys. Struct., 22, 1419-1430. https://doi.org/10.1177/1045389X11414081
  13. IEEE Standard on Piezoelectricity (1988), ANSI/IEEE Std. 176-1987, The Institute of Electrical and electronics Engineers, Inc. New York.
  14. Kayacik, O., Bruch. J.C. Jr, Sloss, J.M., Adali, S. and Sadek, I.S. (2008), "Integral approach for piezo patch vibration control of beams with various type of damping", Comput. Struct., 86(3-5), 357-366. https://doi.org/10.1016/j.compstruc.2007.01.033
  15. Kedziora, P. and Muc, A. (2012) "Optimal shapes of PZT actuators for laminated structures subjected to displacement or eigenfrequency constraints", Comput. Struct. 94, 1224-1235. https://doi.org/10.1016/j.compstruct.2011.11.019
  16. Kim, Y., Suk, J.Y. and Junkins, J.L. (1995), "Optimal slewing and vibration control of smart structures", SPIE, 2443, 157-170.
  17. Jones, R.M. (1975), Mechanic of Composite Materials, McGraw, Hill, New York.
  18. Li, X.F. (2008), "A unified approach for analyzing static and dynamic behaviors of a functionally graded Timoshenko beam and Euler-Bernoulli beams", J. Sound Vib., 318(4-5), 1210-1229. https://doi.org/10.1016/j.jsv.2008.04.056
  19. Lueg, P. (1936),U.S Patent No. 2043416, Process of silencing sound oscillations.
  20. Ma, K. and Ghasemi-Nejhad, M.N. (2004), "Frequency-weighted adaptive control for simultaneous precision positioning and vibration suppression of smart structures", J. Smart Mater. Struct., 13(5), 1143-1154. https://doi.org/10.1088/0964-1726/13/5/019
  21. Madabhusi-Raman, P. and Davalos, J.F. (1996), "Static shear correction factor for laminated rectangular beams", Compos. Part B - Eng., 27(3-4), 285-293. https://doi.org/10.1016/1359-8368(95)00014-3
  22. Moulson, A.J. and Herbert, J.M. (1990), Electroceramics: materials, properties, applications, Chapman and Hall, London, U K.
  23. Olson, H.F. (1956), "Electronic control of mechanical noise, vibration reverberations", J. Acoust. Soc. Am., 28, 966-972. https://doi.org/10.1121/1.1908532
  24. Preumont, A. (2002), Vibration control of active structures: an introduction, 2nd Ed., Kluwer Academic, Dordrecht.
  25. Roach, G. (1981), Greens functions , Cambridge Univ. Press, Cambridge U K.
  26. Reddy, J.N. (1996), Mechanics of laminated composites plates: theory and analysis, CRC Press, New York.
  27. Srinivasan, A.V. and McFarland. D. (2001), Smart structure analysis and design, Cambridge Univ. Press, Cambridge, U.K.
  28. Tzou, H.S. (1993), Piezoelectric shells-distributed sensing and control of continua, Kluwer Academic, New York.
  29. Vinson, J.R. and Sierakowski, R.L. (1986), The behavior of structures composed of composite materials, Springer Verlag, Berlin.

피인용 문헌

  1. Optimal control and design of composite laminated piezoelectric plates vol.15, pp.5, 2015, https://doi.org/10.12989/sss.2015.15.5.1177
  2. An efficient FE approach for attenuation of acoustic radiation of thin structures by using passive shunted piezoelectric systems vol.128, 2017, https://doi.org/10.1016/j.apacoust.2017.04.013
  3. Analysis and implementation of a structural vibration control algorithm based on an IIR adaptive filter vol.22, pp.8, 2012, https://doi.org/10.1088/0964-1726/22/8/085008