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http://dx.doi.org/10.5050/KSNVN.2002.12.1.057

Bifurcation Analysis of a Non-linear Hysteretic Oscillating System  

장서일 (서울시립대학교 환경공학부)
송덕근 (서울시립대학교 대학원 환경공학과)
최진권 (서울시립대학교 대학원 환경공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.12, no.1, 2002 , pp. 57-64 More about this Journal
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.
Keywords
Viscoelastic Damper; Nonlinear Model; Jump Phenomena; Discontinuous Response; Bifurcation Set;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 양성영, 1999, "비선형 히스테리시스 댐퍼를 갖는 진동계의 해석", 서울시립대학교 석사 논문.
2 Nashif, A. D., Jones, D. I. G. and Henderson, J. P., 1985, Vibration Damping, John Wiley & Sons, pp. 67-69.
3 Seydel, R., 1988. From Equilibrium to Chaos : Practical Bifurcation and Stability Analysis, Elsevier, New York.
4 Sun, C. T. and Lu, Y. P., 1995, Vibration Damping of Structural Elements, Prentice Hall.
5 Gandhi, F. and Chopra, I., 1996, "A Time-Domain Non-linear Viscoelastic Damper Model," Smart Materials and Structures. 5, pp. 517-528.   DOI   ScienceOn
6 양성영, 장서일, 김상주, 2000, "비선형 히스테리시스 댐퍼를 갖는 진동계의 해석," 한국소음진동공학회지, 제10권, 제3호, pp. 531-535.   과학기술학회마을
7 Jordan, D. W. and Smith, P., 1999, Nonlinear Ordinary Differential Equations, third ed., Oxford University Press.