有摩擦的非线性多转子系统的动力特性

用近代非线性动力学理论分析弹性支承有间隙和摩擦的非线性刚性多转子系统的复杂运动，建立支座松动和有摩擦的弹性支承的力学模型，导出这类多转子系统的运动微分方程组，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、摩擦系数、轴承间隙或时间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拟周期、倍周期和混沌运动。分析结果为定性地改善转子系统的稳定运行状态提供理论依据。

DYNAMIC BEHAVIOUR OF A NONLINEAR MULTI-ROTOR SYSTEM IN RUB EVENTS

Modern nonlinear dynamical system theory has been used to analyze the complication motion of a Nonlinear high speed rigid multi rotor system with pedestal looseness and rotor bearing rub events. The mechanical model of the damper with pedestal looseness was presented in rub events. The system motional differential equations ware established. In some typical parameter regions various forms of 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 motion are discussed by using the rotation speed, stiffness, damping, rub coefficient, looseness, or time as the control parameter. The route to and out off chaotic motion is also discussed. The analysis result of this paper provides the theoretical bases for qualitatively controlling the stable operating state of rotors.