非线性转子碰摩振动周期响应的分岔与振幅突变

Bifurcation and Amplitude Catastrophe of Periodic Respon ses in a Nonlinear Rotor with Rub

以转子角速度和不平衡量为参数，用数值方法研究了具有非线性刚度的Jeffcott 转子发生动静件径向碰摩时周期振动的分岔现象，并通过数值模拟获得振幅突变流形和分岔 集。所得结论对于认识旋转机械突发性故障的动力学机理具有积极的意义。

Bifurcation and amplitude catastrophe phenomena for per iodic response of a Jeffcott rotor with nonlinear stiffness and rub are numerica lly studied with unbalance eccentricity and rotating angular frequency of the ro tor investigated as control variables.The catastrophic surface of vibrational am plitude and bifurcation set are obtained by numerical simulation.The conclusions in the paper are of positive significance to understanding the dynamic mechanis m of abrupt failures of rotating machinery.