立辊轧机主传动系统的非线性参激振动仿真

The Simulation of Non-linear Parametrically Excited Vibration for Main Transmission System of Edger Roller Mill

考虑了轧制界面间的非线性阻尼以及辊系间的非线性刚度、阻尼,建立了立辊轧机辊系两自由度非线性参激振动模型.分析了该主传动系统的稳定性,得到了阻尼与刚度对系统稳定性的影响关系;并用MATLAB软件对其进行仿真,得出了不同参激频率分叉图、相图、庞加莱图及Lyapunov指数图.结果表明,非线性因素和系统的振动特性有着密切的联系;应避免激振力频率与系统固有频率相近,以避免混沌的出现.

A two-degree parametrically excited vibration model of non-linear system for the edger roller mill is established by considering the non-linear damping of the rolling interface and the non-linear stiffness of the roller system. Through analysis of the main transmission system stability,the influence relations of the damping and stiffness to the system stability are obtained. Phase diagrams,Poincare diagrams,bifurcation diagrams and the Lyapunov exponent diagrams are gained under different parametrically exc...