Özet:

In the existing friction coefficient models, the influence of relatively horizontal vibration of rolled piece is always overlooked, this makes the friction coefficient model error and ultimately affects the accuracy of vibration model of rolling mill. In order to be more close to the actual situation, the vertical vibration model of strip mill is established by considering the effect of horizontal vibration of rolled piece. The approximate analytic solutions are obtained by multiple scales method. Then, bifurcation characteristics of system are analyzed by means of Singularity theory. Finally, frequency responses of system are investigated with the change of external excitation amplitudes and internal nonlinear parameters. Results show that vibration behavior of system changes with the external excitation amplitudes and frequencies, internal nonlinear parameters and coupling parameters. Moreover, the unstable frequency region of system can be obtained by amplitude-frequency curve.

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