Effect of rotating speed fluctuation on the stability of torsional chatter in cold rolling

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (18) : 228-236.

ZHAO Wu1, LIU Zhiwei1, HUANG Dan2

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Abstract

The nonlinear torsional vibration in cold rolling is usually induced by the speed fluctuation disturbance of its transmission system.Based on the methods of maximum Lyapunov exponent, double-parameter distribution and graph-cell mapping, nonlinear dynamic behaviors and characteristics of the self excited torsional chatter such as single-bifurcation, double-bifurcation, chaos and attractor manifold transition under multiple initial conditions were studied, and the stable motion interval of the system was obtained by the double-parameter bifurcation analysis.The boundary changing of the attractor motion manifold under the condition of multiple initial values, was analysed to obtain the distribution maps of the attractor and attraction domain.The simulation results make clear the development trends of torsional chatter characteristics under speed fluctuation excitation, as well as the switching conditions and parameter matching range of stable or unstable motions.The results provide a theoretical basis for avoiding chaotic motion intervals and optimizing rolling process parameters in engineering practice.

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torsional vibration / rotating speed fluctuation / bifurcation / maximum Lyapunov exponent / attractor / double-parameter bifurcation

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ZHAO Wu, LIU Zhiwei, HUANG Dan. Effect of rotating speed fluctuation on the stability of torsional chatter in cold rolling[J]. Journal of Vibration and Shock, 2021, 40(18): 228-236

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