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Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade

Author

Listed:
  • Ruishan Yuan
  • Qin Zhou
  • Qiang Zhang
  • Yonghui Xie

Abstract

The contact surface structure of dry friction damper is complicate, irregular, and self‐similar. In this paper, contact surface structure is described with the fractal theory and damping blade is simplified as 2‐DOF cantilever beam model with lumped masses. By changing the position of the damper, lacing and shroud structure are separately simulated to study vibration absorption effect of damping blade. The results show that both shroud structure and lacing could not only dissipate energy but also change stiffness of blade. Under the same condition of normal pressure and contact surface, the damping effect of lacing is stronger than that of shroud structure. Meanwhile, the effect on changing blade stiffness of shroud structure is stronger than that of lacing. This paper proposed that there is at least one position of the blade, at which the damper dissipates the most vibration energy during a vibration cycle.

Suggested Citation

  • Ruishan Yuan & Qin Zhou & Qiang Zhang & Yonghui Xie, 2014. "Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:549430
    DOI: 10.1155/2014/549430
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    References listed on IDEAS

    as
    1. Richard P. Taylor & Adam P. Micolich & David Jonas, 1999. "Fractal analysis of Pollock's drip paintings," Nature, Nature, vol. 399(6735), pages 422-422, June.
    2. Mark E. Ritchie & Han Olff, 1999. "Spatial scaling laws yield a synthetic theory of biodiversity," Nature, Nature, vol. 400(6744), pages 557-560, August.
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