应用非线性动力学现代理论对一个带间隙转子系统的数学模型进行了研究 ,通过以转速比变化为参数的分岔图发现 :在超临界转速下存在完整的间隔混沌、周期加分岔序列 ,即系统在周期运动与混沌运动之间交替 ,且周期加一、周期数与临界转速的倍数对应相等 ;在转速小于临界转速时 ,各个连续阶次谐运动的转换区分别都出现了经由一个倍周期分岔直接导致的混沌频带 ,后又直接由一个逆倍周期分岔转化为周期一的现象。同时还揭示了阻尼对系统谐波振动幅值和转换区混沌频带宽的抑制作用 ,以及非线性刚度对混沌频带的抑制和对谐波响应幅值的促进作用。提出设计转子系统时应适当增加阻尼和选材时综合考虑系统的动力学特性 ,系统提高转速时 ,转速不要在转换区滞留太长及工作转速尽量不要选在系统的临界转速的倍频上等建议 ,这些都对减小系统故障发生率和提高系统动力学特性有重要意义 Based on the modern theory of nonlinear dynamics, a mathematic model of a rotor system with a gap was studied. By the bifurcation diagram with the change of speed ratio as a parameter, it is found that there are complete interval chaos, periodic addition and branching sequence under supercritical rotation speed, That is, the system alternates between periodic motion and chaotic motion, and the period is increased by one, and the number of cycles corresponds to the multiple of the critical speed; when the speed is less than the critical speed, the transitional regions of each successive order of harmonic motion appear through one- Periodic bifurcation directly leads to the chaotic frequency band, and then directly from an inverse bifurcation bifurcation into a cycle of the phenomenon. At the same time, the damping effect of damping on the amplitude of the system harmonic oscillation and the chaos frequency bandwidth in the transition region is also revealed. The suppression of the chaos band by the nonlinear stiffness and the promotion of the magnitude of the harmonic response are also revealed. The rotor system should be designed to increase the damping and material selection should be considered when considering the dynamics of the system, the system increases the speed, the speed do not stay in the transition zone too long and the operating speed as much as possible not to choose the critical speed of the system multiplier recommended , All of these are important to reduce the incidence of system failures and improve system dynamics