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

  • 제12권1호
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  • Pages.57-64
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  • 2002
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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비선형 히스테리시스 진동시스템의 분기해석

Bifurcation Analysis of a Non-linear Hysteretic Oscillating System

  • 장서일 (서울시립대학교 환경공학부) ;
  • 송덕근 (서울시립대학교 대학원 환경공학과) ;
  • 최진권 (서울시립대학교 대학원 환경공학과)
  • 발행 : 2002.01.01
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초록

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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참고문헌

  1. Sun, C. T. and Lu, Y. P., 1995, Vibration Damping of Structural Elements, Prentice Hall.
  2. Nashif, A. D., Jones, D. I. G. and Henderson, J. P., 1985, Vibration Damping, John Wiley & Sons, pp. 67-69.
  3. Jordan, D. W. and Smith, P., 1999, Nonlinear Ordinary Differential Equations, third ed., Oxford University Press.
  4. 양성영, 1999, "비선형 히스테리시스 댐퍼를 갖는 진동계의 해석", 서울시립대학교 석사 논문.
  5. Gandhi, F. and Chopra, I., 1996, "A Time-Domain Non-linear Viscoelastic Damper Model," Smart Materials and Structures. 5, pp. 517-528. https://doi.org/10.1088/0964-1726/5/5/002
  6. Seydel, R., 1988. From Equilibrium to Chaos : Practical Bifurcation and Stability Analysis, Elsevier, New York.
  7. 양성영, 장서일, 김상주, 2000, "비선형 히스테리시스 댐퍼를 갖는 진동계의 해석," 한국소음진동공학회지, 제10권, 제3호, pp. 531-535.