Transactions of the Korean Society of Machine Tool Engineers (한국공작기계학회논문집)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
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Subhamonic Resonances of order 1/2 of Continuous Rotor with Nonlinearity and Internal Resonances

비선형 연속축의 1/2차 분수조화진동 및 내부공진

  • 남궁재관 (서울산업대학교 기계설계학과) ;
  • 이성우 (서울산업대학교 정밀기계연구소)
  • Published : 2001.02.01
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Abstract

Subharmonic resonances of order 1/2 of a continuous rotating shaft with distributed mass are discussed. The restoring force of the shaft exhibits geometric stiffening nonlinearity due to the extension of the shaft center line. It is assumed that a distributed lateral force, such as the gravity, acts on the rotor. The possibility of the occurrence of subharmonic resonances, the shapes of resonance curves, and internal resonance phenomena are investigate.

Keywords

References

  1. The Dynamic Stability of Elastic Systems Bolotin, V.V.
  2. Journal of Sound and Vibration v.132 Instabilities and Bifurcation in a Rotating Shaft Shaw.J.;Show.S.W.
  3. Journal of Sound and Vibration v.147 Non-Linear Resonance of an Unbalance Rotating Shaft with Internal Damping Shaw.J.;Show.S.W.
  4. Journal of Sound and Vibration v.124 Chaotic Dynamics of a Slender Beam Rotating about Its Longitudinal Axis Shaw, S.W.
  5. Nonlinear Dynamics v.11 Forced Oscillations of a Vertical Continuous Rotor with Geometric Nonlinearity Ishida, Y.;Nagasaka, I.;Inoue, T.;Lee, S.W.