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Shock and Vibration
Volume 2014 (2014), Article ID 173786, 8 pages
http://dx.doi.org/10.1155/2014/173786
Research Article

Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes

1Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, Brazil
2Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada

Received 8 August 2013; Accepted 7 February 2014; Published 4 June 2014

Academic Editor: Miguel M. Neves

Copyright © 2014 J. A. Hernandes and A. Suleman. 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. R. A. Canfield, “High-quality approximation of eigenvalues in structural optimization,” AIAA Journal, vol. 28, no. 6, pp. 1116–1122, 1990. View at Google Scholar · View at Scopus
  2. V. L. Bond, R. A. Canfield, A. Suleman, and M. Blair, “Aeroelastic scaling of a joined wing for nonlinear geometric stiffness,” AIAA Journal, vol. 50, no. 3, pp. 513–522, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. G. M. L. Gladwell, Inverse Problems in Vibration, Martinus Noordhoff, 1986.
  4. E. K. L. Yee and Y. G. Tsuei, “Method for shifting natural frequencies of damped mechanical systems,” AIAA journal, vol. 29, no. 11, pp. 1973–1977, 1991. View at Google Scholar · View at Scopus
  5. E. K. L. Yee and Y. G. Tsuei, “Modification of stiffness for shifting natural frequencies of damped mechanical systems,” in Proceedings of the ASME Design Technical Conference presented at the 13th Biennial Conference on Mechanical Vibration and Noise, vol. 38, pp. 101–106, September 1991. View at Scopus
  6. A. J. McMillan and A. J. Keane, “Shifting resonances from a frequency band by applying concentrated masses to a thin rectangular plate,” Journal of Sound and Vibration, vol. 192, no. 2, pp. 549–562, 1996. View at Publisher · View at Google Scholar · View at Scopus
  7. K.-O. Kim, “A review of mass matrices for eigenproblems,” Journal of Computers and Structures, vol. 46, no. 6, pp. 1041–1048, 1993. View at Google Scholar · View at Scopus
  8. D. D. Sivan and Y. M. Ram, “Optimal construction of a mass-spring system with prescribed modal and spectral data,” Journal of Sound and Vibration, vol. 201, no. 3, pp. 323–334, 1997. View at Google Scholar · View at Scopus
  9. G. M. L. Gladwell, “Inverse vibration problems for finite-element models,” Inverse Problems, vol. 13, no. 2, pp. 311–322, 1997. View at Publisher · View at Google Scholar · View at Scopus
  10. J. E. Mottershead, “On the zeros of structural frequency response functions and their sensitivities,” Mechanical Systems and Signal Processing, vol. 12, no. 5, pp. 591–597, 1998. View at Google Scholar · View at Scopus
  11. S. G. Braun and Y. M. Ram, “Modal modification of vibrating systems: some problems and their solutions,” Mechanical Systems and Signal Processing, vol. 15, no. 1, pp. 101–119, 2001. View at Publisher · View at Google Scholar · View at Scopus
  12. W. Liangsheng, “Direct method of inverse eigenvalue problems for structure redesign,” Journal of Mechanical Design, Transactions of the ASME, vol. 125, no. 4, pp. 845–847, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. M. Ram and J. Caldwell, “Physical parameters reconstruction of a free-free mass-spring system from its spectra,” SIAM Journal on Applied Mathematics, vol. 52, no. 1, pp. 140–152, 1992. View at Google Scholar · View at Scopus
  14. A. Kyprianou, J. E. Mottershead, and H. Ouyang, “Structural modification. Part 2: assignment of natural frequencies and antiresonances by an added beam,” Journal of Sound and Vibration, vol. 284, no. 1-2, pp. 267–281, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. J. E. Mottershead, M. Ghandchi Tehrani, D. Stancioiu, S. James, and H. Shahverdi, “Structural modification of a helicopter tailcone,” Journal of Sound and Vibration, vol. 298, no. 1-2, pp. 366–384, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. G. M. L. Gladwell and M. Movahhedy, “Reconstruction of a mass-spring system from spectral data i: theory,” Inverse Problems in Engineering, vol. 1, no. 2, pp. 179–189, 1995. View at Publisher · View at Google Scholar
  17. D. Richiedei, A. Trevisani, and G. Zanardo, “A constrained convex approach to modal design optimization of vibrating systems,” Journal of Mechanical Design, Transactions of the ASME, vol. 133, no. 6, Article ID 061011, 2011. View at Publisher · View at Google Scholar · View at Scopus