裂纹转子在支承松动时的振动特性研究

以具有支承松动的Jeffcott裂纹转子为研究对象，分析了支承松动和轴上横向裂纹对转子系统刚度的影响，建立了转子系统振动的微分方程，并用数值方法分析了其振动特性。分析表明，转子在裂纹和支承松动这两种非线性因素的作用下，表现出复杂的非线性行为。

The Vibrational Characteristics of a Cracked Rotor with Pedestal Looseness

The vibrational characteristics of a cracked rotor with pedestal looseness are investigated in this paper. The differential equations of motion are established for a cracked Jeffcott rotor system with pedestal looseness. The differential equations are solved by Runge-Kutta method to obtain the response of the system. The bifurcation diagrams are obtained by using the rotating speed as the control parameter. Some orbits and Poincare's maps at different rotating speeds are analyzed. The bifurcation diagrams and the different shapes of Poincare's maps indicate that there exist some parameter regions in which the vibration is chaotic. The results show that this system is more complex than a cracked rotor without pedestal looseness, and this will be helpful for the diagnosis of cracks in a rotor system.