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Advances in Acoustics and Vibration
Volume 2010, Article ID 284187, 9 pages
Research Article

Study of the Response Prediction of a Parametric Vibration Based on Modulation Feedback

Department of Mechanical Engineering and Automation, Shanghai University, 149 Yanchang Road, Shanghai 200072, China

Received 29 September 2010; Accepted 31 December 2010

Academic Editor: Jorge Arenas

Copyright © 2010 Dishan Huang. 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. V. A. Yakubovitch and V. M. Starzhinskii, Linear Differential Equation with Periodic Coefficients, John Wiley & Sons, New York, NY, USA, 1975.
  2. A. H. Nayfeh, Problems in Perturbation, John Wiley & Sons, New York, NY, USA, 1985.
  3. G. H. Gaonkar, D. S. Simha Prasad, and D. Sastry, “On computing Floquet transition matrices of rotorcraft,” Journal of the American Helicopter Society, vol. 26, no. 3, pp. 56–61, 1981. View at Google Scholar · View at Scopus
  4. S. C. Sinha and D. H. Wu, “An efficient computational scheme for the analysis of periodic systems,” Journal of Sound and Vibration, vol. 151, no. 1, pp. 91–117, 1991. View at Google Scholar · View at Scopus
  5. S. C. Sinha, D. H. Wu, V. Juneja, and P. Joseph, “Analysis of dynamic systems with periodically varying parameters via Chebyshev polynomials,” Transaction of the ASME, Journal of Vibration and Acoustics, vol. 115, no. 1, pp. 96–102, 1993. View at Google Scholar · View at Scopus
  6. P. P. Friedmann, “Numerical methods for determining the stability and response of periodic systems with applications to helicopter rotor dynamics and aeroelasticity,” Computers and Mathematics with Applications, vol. 12, no. 1, pp. 131–148, 1986. View at Google Scholar · View at Scopus
  7. H. D’Angelo, Linear Time-Varying System: Analysis and Synthesis, Allyn and Bacon, Boston, Mass, USA, 1970.
  8. C. S. Hsu, “On approximating a general linear periodic system,” Journal of Mathematical Analysis and Applications, vol. 45, no. 1, pp. 234–251, 1974. View at Google Scholar · View at Scopus
  9. J. A. Richards, Analysis of Periodically Time-Varying System, Springer, Berlin, Germany, 1983.
  10. R. Gasch, “Dynamic behavior of a simple rotor with cross-sectional crack,” IMechE, vol. 170, pp. 123–128, 1976. View at Google Scholar
  11. A. H. Nayfeh and D. T. Mook, Non-Linear Oscillations, John Wiley & Sons, New York, NY, USA, 1979.