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在分析冷连轧机辊系振动时垂直与水平两个方向轧制力的相互影响与轧机实际机械结构的基础上,建立了动态轧制力影响下的多自由度冷连轧机辊系垂直-水平耦合非线性振动模型。利用参数所占轧制力变化的比重,对动态轧制力变化部分中的各项敏感参数进行选取,得到了轧机多自由度耦合系统的动力学方程,应用谐波平衡法对其进行求解。依据轧机实际参数,仿真得到了系统在不同外激励变化下的轧机多自由度耦合系统幅频特性曲线,研究了耦合系统在一定参数下水平方向的周期倍化分岔及混沌的演化途径,且耦合系统垂直方向也呈现出了丰富的分岔与混沌现象。最后利用分岔图、相图、最大Lyapunov指数和Poincare截面对其动力学行为进行了分析与验证。
Based on the analysis of the interaction between the vertical and horizontal rolling forces and the actual mechanical structure of the roller mill during the cold rolling, the vertical-horizontal Coupling Nonlinear Vibration Model. By using the proportion of the variation of the rolling force, the dynamic parameters of the dynamic rolling force variation are selected. The dynamic equations of the multi-degree freedom coupling system of the rolling mill are obtained and solved by harmonic balance method. According to the actual parameters of the rolling mill, the amplitude-frequency characteristic curves of the multivariable coupling system of the mills under different external excitation are simulated. The periodic doubling bifurcation and chaos evolution of the coupled system under certain parameters are studied. Vertical coupling system also showed a wealth of bifurcation and chaos phenomenon. Finally, the bifurcation diagram, phase diagram, maximum Lyapunov exponent and Poincare cross section are used to analyze and verify their dynamic behavior.