Asymptotic Method and Numerical Analysis for Self-Excited Vibration in Rolling Mill with Clearance | Zendy

Hongguang Li | Zendy; Bangchun Wen | Zendy; Jianwu Zhang | Zendy

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Asymptotic Method and Numerical Analysis for Self-Excited Vibration in Rolling Mill with Clearance

Author(s) -

Hongguang Li,

Bangchun Wen,

Jianwu Zhang

Publication year - 2000

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2001/262743

Subject(s) - nonlinear system , lyapunov exponent , vibration , bifurcation , chaotic , poincaré map , bifurcation diagram , control theory (sociology) , classification of discontinuities , instability , mathematics , mechanics , mathematical analysis , physics , computer science , acoustics , control (management) , quantum mechanics , artificial intelligence

In this paper, a dynamic model is proposed for analysis of nonlinear vibrations of rolling mills with fixed and time-varying clearances. Self-excited vibrations of the system that is basically involved with piece-wise nonlinearity and discontinuities are investigated via asymptotic method. It is shown by numerical results obtained for the nonlinear system with a time-varying clearance that different forms of nonlinear vibrations appear to be periodic, quasi-periodic and chaotic. Influence of the system parameters on the nonlinear vibration behaviors is examined by applying the Poincare sections, the bifurcation diagram and the largest Lyapunov exponent. New phenomena are observed in nonlinear motions of the rolling mill mechanism and are of significant importance for design of this type of mechanical systems

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