转子系统故障发展过程的突变

Catastrophe in Fault Developing Process of Rotor System

介绍了突变故障的几何描述与突变特征,分析了机械系统故障发生的机理,采用非线性理论与突变理论,对突变故障和系统振动状态突变进行了数学描述·建立了分岔集方程,由分岔集方程得出了振幅产生突变的临界值,当激励幅值越过该临界值时,会导致振动状态突变,而诱发机械系统的突发性故障,故其临界值可用来诊断与预测机械系统的突变现象,以便采取有效措施来限制故障的发生和发展·

Characteristics and geometrical description of catastrophic fault and the formation mechanism of faults occurred in mechanical system are introduced and analyzed. Mathematic descriptions are given to catastrophic faults especially in the state of system vibration based on nonlinear and catastrophe theories. The equations of a bifurcation set are derived, by which a critical value for catastrophic amplitude is obtained. When an excitation amplitude exceeds the critical value, a catastrophe will occur in the state of system vibration. So, the critical value can be used to diagnose and forecast the catastrophe phenomena in a mechanical system in order to restrain the occurrence and development of fault with effective measures taken.