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Advances in Mathematical Physics
Volume 2014 (2014), Article ID 549430, 7 pages
Research Article

Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received 27 February 2014; Accepted 16 March 2014; Published 7 April 2014

Academic Editor: Xiao-Jun Yang

Copyright © 2014 Ruishan Yuan et al. 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. M. E. Ritchie and H. Olff, “Spatial scaling laws yield a synthetic theory of biodiversity,” Nature, vol. 400, no. 6744, pp. 557–560, 1999. View at Publisher · View at Google Scholar · View at Scopus
  2. R. P. Taylor, A. P. Micolich, and D. Jonas, “Fractal analysis of Pollock's drip paintings,” Nature, vol. 399, no. 6735, p. 422, 1999. View at Scopus
  3. J. P. Den Hartog, “Forced vibrations with combined Coulomb and viscous friction,” Transactions of the American Society of Mechanical Engineers, vol. 53, no. 9, pp. 107–115, 1931.
  4. C.-H. Meng, J. Bielak, and J. H. Griffin, “The influence of microslip on vibratory response, part I: a new microslip model,” Journal of Sound and Vibration, vol. 107, no. 2, pp. 279–293, 1986. View at Scopus
  5. C.-H. Meng and P. Chidamparam, “Friction damping of two-dimensional motion and its application in vibration control,” Journal of Sound and Vibration, vol. 144, no. 3, pp. 427–447, 1991. View at Scopus
  6. A. Muszyńska and D. I. G. Jones, “On tuned bladed disk dynamics: some aspects of friction related mistuning,” Journal of Sound and Vibration, vol. 86, no. 1, pp. 107–128, 1983. View at Zentralblatt MATH · View at Scopus
  7. A. Muszynska, D. I. G. Jones, T. Lagnese, and L. Whitford, “On nonlinear response of multiple blade systems,” Shock and Vibration Bulletin, vol. 51, no. 3, pp. 89–110, 1981. View at Scopus
  8. D. I. G. Jones and A. Muszynska, “Design of turbine blades for effective slip damping at high rotational speeds,” Shock and Vibration Bulletin, vol. 49, pp. 87–96, 1979.
  9. G. Csaba, Modelling Microslip Friction Damping and Its Influence on Turbine Blade Vibrations, Division of Machine Design Department of Mechanical Engineering, Linköping University, 1998.
  10. Y. Liu, B. Shangguan, and Z. Xu, “A friction contact stiffness model of fractal geometry in forced response analysis of a shrouded blade,” Nonlinear Dynamics, vol. 70, no. 3, pp. 2247–2257, 2012. View at Publisher · View at Google Scholar