Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Nonlinear Torsional Oscillations of a System incorporating a Hooke's Joint : 2-DOF Model

훅조인트로 연결된 축계의 비선형 비틀림 진동의 분기해석 :2-자유도계 모델

  • 장서일 (서울시립대학교 환경공학부)
  • Published : 2003.04.01
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Abstract

Torsional oscillations of a system incorporating a Hooke's joint are investigated by adopting a nonlinear 2-degree-of-freedom model. Linear and Van der Pol transformations are applied to obtain the equations of motion to which the method of averaging can be readily applied. Various subharmonic and combination resonances are identified with the conditions of their occurrences. Applying the method of averaging leads to the reduced amplitude- and phase-equations of motion, of which constant and periodic solutions are obtained numerically. The periodic solution which emerges from Hopf bifurcation point experiences period doubling bifurcation leading to infinite solution rather than chaotic solution.

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References

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