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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Bifurcation Analysis of a Non-linear Hysteretic Oscillating System

비선형 히스테리시스 진동시스템의 분기해석

  • 장서일 (서울시립대학교 환경공학부) ;
  • 송덕근 (서울시립대학교 대학원 환경공학과) ;
  • 최진권 (서울시립대학교 대학원 환경공학과)
  • Published : 2002.01.01
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Abstract

Three kinds of viscoelastic damper model, which has a non-linear spring as an element is studied analytically and numerically The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by a non-linear constitutive equation and an additional equation of motion. Harmonic balance method is applied to get analytical solutions of the system. The frequency-response curves sallow that multiple solutions co-exist and that the jump phenomena can occur. In addition, it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurrences of such non-linear Phenomena.

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References

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