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Vibration control of laminated composite plates using embedded smart layers

  • Reddy, J.N. (Department of Mechanical Engineering, Texas A&M University) ;
  • Krishnan, S. (Department of Mechanical Engineering, Texas A&M University)
  • Published : 2001.08.25

Abstract

Analytical solutions and finite element results of laminated composite plates with smart material layers embedded in them are presented in this study. The third-order plate theory of Reddy is used to study vibration suppression characteristics. The analytical solution for simply supported boundary conditions is based on the Navier solution procedure. The velocity feedback control is used. Parametric effects of the position of the smart material layers, material properties, and control parameters on the suppression time are investigated. It has been found that (a) the minimum vibration suppression time is achieved by placing the smart material layers farthest from the neutral axis, (b) using thinner smart material layers have better vibration attenuation characteristics, and, (c) the vibration suppression time is larger for a lower value of the feedback control coefficient.

Keywords

Acknowledgement

Supported by : Army Research Office(ARO)

References

  1. Anders, W.S., Rogers, C.A., and Fuller, C.R. (1991), "Control of sound radiation from shape memory alloy hybrid composite panels by adaptive alternate resonance tuning," AIAA J., 365-376.
  2. Anjanappa, M., and Bi, J. (1994a), "A theoretical and experimental study of magnetostrictive mini actuators,"Smart Mater. and Struct., 1, 83-91.
  3. Anjanappa, M., and Bi, J. (1994b), "Magnetostrictive mini actuators for smart structural application," SmartMater. and Struct., 3, 383-390. https://doi.org/10.1088/0964-1726/3/4/001
  4. Bailey, T., and Hubbard, J.E. (1985), "Distributed piezoelectric polymer active vibration control of a cantileverbeam," AIAA J., 8, 605-611.
  5. Baz, A., Imam, K., and McCoy, J. (1990), "The dynamics of helical shape memory actuators," J. IntelligentMater. Systems and Struct., 1, 105-133. https://doi.org/10.1177/1045389X9000100107
  6. Bryant, M.D., Fernandez, B., and Wang, N. (1993), "Active vibration control in structures using magnetostrictiveTerfenol with feedback and/or neural network controllers," J. Intelligent Mater. Systems and Struct., 4, 484-489. https://doi.org/10.1177/1045389X9300400407
  7. Bailey, T., and Hubbard, J.E. (1985), "Distributed piezoelectric polymer active vibration control of a cantileverbeam," AIAA J., 8, 605-611.
  8. Choi, Y., Sprecher, A.F., and Conrad, H. (1990), "Vibration characteristics of a composite beam containingelectrorheological fluid," J. Intelligent Mater. Systems and Struct., 1, 91-104. https://doi.org/10.1177/1045389X9000100106
  9. Crawley, E.F., and Luis, J.D. (1987), "Use of piezoelectric actuators and elements of intelligent structure," AIAAJ., 25, 1373-1385. https://doi.org/10.2514/3.9792
  10. Cross, L.E. and Jang, S.J. (1988), "Electrostrictive materials", in R.C. Pohanka and P.L. Smith (eds.), "Recentadvances in piezoelectric ceramics," Electronic Ceramics, Properties, Devices, and Applications, ed. by L.M.Levinson, Marcel Dekker, Inc., New York, 129-137.
  11. Eda, H., Kobayashi, T., Nakamura, H., and Akiyama, T. (1995), "Giant magnetostriction compounds withstructure textured by resin bound on giant magnetostriction fine powder in magnetic field and its actuator,"Transactions of Japanese Society for Mechanical Engineering, Series C, 61, 168-17. https://doi.org/10.1299/kikaic.61.168
  12. Goodfriend, M.J., and Shoop, K.M. (1992), "Adaptive characteristics of the magnetostrictive alloy, Terfenol-D,for active vibration control," J. Intelligent Mater. Systems and Struct., 3, 245-254. https://doi.org/10.1177/1045389X9200300204
  13. Krishna Murty, A.V., Anjanappa, M., and Wu, Y.-F. (1997), "The use of magnetostrictive particle actuators forvibration attenuation of flexible beams," J. Sound and Vibration, 206, 133-149. https://doi.org/10.1006/jsvi.1997.0997
  14. Krishna Murty, A.V., Anjanappa, M., Wu, Y.-F., Bhattacharya, B., and Bhat, M.S. (1998), "Vibration suppressionof laminated composite beams using embedded magnetostrictive layers," Journal A-S, 78, 38-44.
  15. Maugin, G.A. (1988), Continuum Mechanics of Electromagnetic Solids, NorthHolland, The Netherlands.
  16. Newnham, R.E. (1993), "Ferroelectric sensors and actuators: Smart ceramics", Ferroelectric Ceramics, Setter, N.and Colla, E. L., eds., 363-380.
  17. Pratt, J.R., and Flatau, A.B. (1995), "Development and analysis of self-sensing magnetostrictive actuator design,"J. Intelligent Mater. Systems and Struct., 6, 639-648. https://doi.org/10.1177/1045389X9500600505
  18. Reddy, J.N. (1984a), "A simple higher-order theory for laminated composite plates." J. Appl. Mech., 51, 745-752. https://doi.org/10.1115/1.3167719
  19. Reddy, J.N. (1984b), Energy and Variational Methods in Applied Mechanics, Wiley, New York.
  20. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton,Florida.
  21. Reddy, J.N. (1999a), "On laminated composite plates with integrated sensors and actuators," Eng. Struct., 21,568-593. https://doi.org/10.1016/S0141-0296(97)00212-5
  22. Reddy, J.N. (1999b), Theory and Analysis of Elastic Plates, Taylor & Francis, Philadelphia, Pennsylvania.
  23. Reddy, J.N. and Barbosa, J.A. (2000), "Vibration suppression of laminated composite beams," Smart Mater. andStruct., 9, 49-58. https://doi.org/10.1088/0964-1726/9/1/305
  24. Uchino, K. (1986), "Electrostrictive actuators: Materials and applications," Cer. Bull., 65, 647-652.
  25. Yang, S.Y. and Huang, W.H. (1998), "Is a collocated piezoelectric sensor/actuator pair feasible for an intelligentbeam?", J. Sound and Vibration, 216(3), 529-538. https://doi.org/10.1006/jsvi.1998.1753
  26. Yellin, J.M., and Shen, I.Y. (1996), "Integration and design of piezoelectric elements in intelligent structures," J.Intelligent Mater. Systems and Struct., 6, 733-743.

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