轧机, 参激振动, 稳定性, 内共振

A vertical nonlinear parametrically exited coupling vibration model of 4-h rolling system was established, which considered the nonlinear damping and nonlinear stiffness between working rolls and supporting rolls to rolling mill's frame,The parse approximation solution were carried out by using multiple-scale

method,under main frequency,1∶1 inner resonance,and the curve equations of amplitude-frequency were obtained. The vibration characteristics of the system under nonlinear stiffness and nonlinear damping were analyzed. With the changes of nonlinear stiffness, the amplitude appears the jumping phenomenon. It leads instability of the system. The numerical simulation indicates that the solution is validated. Local bifurcation was studied with parameter transform. It can offer some theoretic guidance on vibration mechanism and control in rolling mills.

rolling mill, parametrically exited vibration, stability, inner resonance vibration