Study on parametrically excited horizon nonlinear vibration in single-roll driving mill system

Zhang Ruicheng;Chen Zhikun;Wang Fubin

Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (6) : 105-108.

PDF(1276 KB)
PDF(1276 KB)
Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (6) : 105-108.
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Study on parametrically excited horizon nonlinear vibration in single-roll driving mill system

  • Zhang Ruicheng ;Chen Zhikun ;Wang Fubin
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Abstract

The non-linear equation of the horizon motion of single-roll driving mill is derived based on analyzing the friction between roll and workpiece and the nonlinear stiffness and damp. By means of a multiple-scales method, the existence and stability of periodic solutions in a first-order approximation close to the main parametric resonance are investigated, and the frequency-response equation is provided. Bifurcations of the system and regions of chaotic solutions are found. It follows from the maximal Lyapunov exponent and Poincare map that vibration of the rolling system appear more complex with larger excitation amplitude.

Key words

Rolling mill / Nonlinear vibration / Parametric excitation / Resonance vibration / Chaos

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Zhang Ruicheng;Chen Zhikun;Wang Fubin. Study on parametrically excited horizon nonlinear vibration in single-roll driving mill system[J]. Journal of Vibration and Shock, 2010, 29(6): 105-108
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