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

  • 2004.11a
  • /
  • Pages.140-144
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  • 2004
  • /
  • 1598-2548(pISSN)
The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Global Bifurcations and Chaos in an Harmonically Excited and Undamped Circular Plate

  • Samoylenko, Sergey B. (School of Mechanical Engineering, Yeungnam Uni.) ;
  • Lee, Won-Kyoung (School of Mechanical Engineering, Yeungnam Uni.)
  • Published : 2004.11.01
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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 Melnikov's method for heteroclinic orbits of the autonomous system was used to obtain the criteria for chaotic motion.

Keywords