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Shock and Vibration
Volume 2015, Article ID 376854, 11 pages
http://dx.doi.org/10.1155/2015/376854
Research Article

Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment

State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China

Received 26 November 2014; Revised 1 March 2015; Accepted 6 March 2015

Academic Editor: Miguel Neves

Copyright © 2015 Zhanpeng Fang and Ling Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. M. Kerwin, “Damping of flexural waves by a constrained viscoelastic layer,” The Journal of the Acoustical Society of America, vol. 31, no. 7, pp. 952–962, 1959. View at Publisher · View at Google Scholar
  2. R. A. DiTaranto and W. Blasingame, “Composite loss factors of selected laminated beams,” Journal of the Acoustical Society of America, vol. 40, pp. 187–194, 1965. View at Google Scholar
  3. D. J. Mead and S. Markus, “The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions,” Journal of Sound and Vibration, vol. 10, no. 2, pp. 163–175, 1969. View at Publisher · View at Google Scholar · View at Scopus
  4. D. S. Nokes and F. C. Nelson, “Constrained layer damping with partial coverage,” Shock and Vibration, vol. 38, pp. 5–10, 1968. View at Google Scholar
  5. A. K. Lall, N. T. Asnani, and B. C. Nakra, “Vibration and damping analysis of rectangular plate with partially covered constrained viscoelastic layer,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, vol. 109, no. 3, pp. 241–247, 1987. View at Publisher · View at Google Scholar · View at Scopus
  6. A. K. Lall, N. T. Asnani, and B. C. Nakra, “Damping analysis of partially covered sandwich beams,” Journal of Sound and Vibration, vol. 123, no. 2, pp. 247–259, 1988. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Kodiyalam and J. Molnar, “Optimization of constrained viscoelastic damping treatments for passive vibration control,” in Proceedings of the 33rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, pp. 1479–1487, 1993.
  8. A. Lumsdaine, “Topology optimization of constrained damping layer treatments,” in Proceedings of the ASME International Mechanical Engineering Congress and Exposition, pp. 149–156, New Orleans, La, USA, November 2002. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Zheng, C. Cai, G. S. H. Pau, and G. R. Liu, “Minimizing vibration response of cylindrical shells through layout optimization of passive constrained layer damping treatments,” Journal of Sound and Vibration, vol. 279, no. 3–5, pp. 739–756, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. R. A. S. Moreira and J. D. Rodrigues, “Partial constrained viscoelastic damping treatment of structures: a modal strain energy approach,” International Journal of Structural Stability and Dynamics, vol. 6, no. 3, pp. 397–411, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. Z. Li and X. Liang, “Vibro-acoustic analysis and optimization of damping structure with response surface method,” Materials & Design, vol. 28, no. 7, pp. 1999–2007, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. Z. Ling, X. Ronglu, W. Yi, and A. El-Sabbagh, “Topology optimization of constrained layer damping on plates using Method of Moving Asymptote (MMA) approach,” Shock and Vibration, vol. 18, no. 1-2, pp. 221–244, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. G. Lepoittevin and G. Kress, “Optimization of segmented constrained layer damping with mathematical programming using strain energy analysis and modal data,” Materials & Design, vol. 31, no. 1, pp. 14–24, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Ansari, A. Khajepour, and E. Esmailzadeh, “Application of level set method to optimal vibration control of plate structures,” Journal of Sound and Vibration, vol. 332, no. 4, pp. 687–700, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. S. Y. Kim, C. K. Mechefske, and I. Y. Kim, “Optimal damping layout in a shell structure using topology optimization,” Journal of Sound and Vibration, vol. 332, no. 12, pp. 2873–2883, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. J. H. Rong, Y. M. Xie, X. Y. Yang, and Q. Q. Liang, “Topology optimization of structures under dynamic response constraints,” Journal of Sound and Vibration, vol. 234, no. 2, pp. 177–189, 2000. View at Publisher · View at Google Scholar · View at Scopus
  17. H. Zheng, C. Cai, G. S. H. Pau, and G. R. Liu, “Minimizing vibration response of cylindrical shells through layout optimization of passive constrained layer damping treatments,” Journal of Sound and Vibration, vol. 279, no. 3-5, pp. 739–756, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. J. Pan and D. Y. Wang, “Topology optimization of truss structure with fundamental frequency and frequency domain dynamic response constraints,” Acta Mechanica Solida Sinica, vol. 19, no. 3, pp. 231–240, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Alvelid, “Optimal position and shape of applied damping material,” Journal of Sound and Vibration, vol. 310, no. 4-5, pp. 947–965, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. G. H. Yoon, “Structural topology optimization for frequency response problem using model reduction schemes,” Computer Methods in Applied Mechanics and Engineering, vol. 199, no. 25–28, pp. 1744–1763, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. L. Shu, M. Y. Wang, Z. Fang, Z. Ma, and P. Wei, “Level set based structural topology optimization for minimizing frequency response,” Journal of Sound and Vibration, vol. 330, no. 24, pp. 5820–5834, 2011. View at Publisher · View at Google Scholar · View at Scopus
  22. C. D. Johnson and D. A. Kienholz, “Finite element prediction of damping in structures with constrained viscoelastic layers,” AIAA Journal, vol. 20, no. 9, pp. 1284–1290, 1982. View at Publisher · View at Google Scholar · View at Scopus
  23. E. J. Graesser and C. R. Wong, “The relationship of traditional damping measures for materials with high damping capacity: a review,” in M3D: Mechanics and Mechanisms of Material Damping, ASTM STP 1169, pp. 316–343, 1992. View at Google Scholar
  24. C. S. Jog, “Topology design of structures subjected to periodic loading,” Journal of Sound and Vibration, vol. 253, no. 3, pp. 687–709, 2002. View at Publisher · View at Google Scholar · View at Scopus
  25. N. Olhoff and J. Du, “On topological design optimization of structures against vibration and noise emission,” in Computational Aspects of Structural Acoustics and Vibration, G. Sandberg and R. Ohayon, Eds., vol. 505 of CISM International Centre for Mechanical Sciences, pp. 217–276, Springer, Vienna, Austria, 2009. View at Publisher · View at Google Scholar
  26. O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Structural Optimization, vol. 16, no. 1, pp. 68–75, 1998. View at Publisher · View at Google Scholar · View at Scopus
  27. Y. M. Xie and G. P. Steven, “A simple evolutionary procedure for structural optimization,” Computers & Structures, vol. 49, no. 5, pp. 885–896, 1993. View at Publisher · View at Google Scholar · View at Scopus