弹性支承有间隙的多转子系统的动力特性

用近代非线性动力学理论分析了弹性支承有间隙的非线性刚性多转子系统的复杂运动。用数值方法得到系统在某些参数区域内的轴心轨迹图，Poincare映射图和分岔图等。以转子转速，刚度，阻尼，或轴承间隙等为控制参数讨论了进出混沌区的不同路径和系统各种形式的倍周期，拟周期和混沌运动。分析结果为定性地改善转子系统的稳定运动状态提供了理论依据。

Dynamic Behaviour of a Multi-rotor System with Pedestal Looseness

Modern nonlinear dynamical system theory is used to analyze the complicated motion of a nonlinear high_speed rigid multi_rotor system with pedestal looseness.In some typical parameter regions,the orbit diagrams of axle center,the Poincare maps and the bifurcation diagrams of the system are acquired with numerical integral method.Various forms of quasi_periodic,double_periodic,and chaotic motions are discussed by using the rotation speed,stiffness,damping,or looseness as the control parameters.The route to and out off chaotic motion are also discussed.The analysis result of the paper provides the theoretical base for qualitatively controlling the stable operating state of rotors.