Proceedings of the Korean Society for Noise and Vibration Engineering Conference (한국소음진동공학회:학술대회논문집)

  • 2005.05a
  • /
  • Pages.419-422
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  • 2005
  • /
  • 1598-2548(pISSN)
The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Global Bifurcations and Chaos Via Breaking of KAM Tori of an Harmonically Excited Imperfect Circular Plate

  • Samoylenko, S.B. (School of Mechanical Engineering, Yeungnam Univ.) ;
  • Lee, W.K. (School of Mechanical Engineering, Yeungnam Univ.)
  • Published : 2005.05.01
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Abstract

Global bifurcations and chaos in modal interactions of an imperfect circular plate with one-to-one internal resonance are investigated. The case of primary resonance, in which an excitation frequency is near natural frequencies, is considered. The damping force is not included in the analysis. The renormalization-group technique for KAM tori is used to obtain the criteria for large-scale stochasticity in the system.

Keywords