多盘转子系统热启动过程中瞬态响应分析

Analysis of Transient Response in Process of Thermal Start of Multi-disc Rotor System

为了揭示复杂转子系统在热启动过程中的动力特性,采用Riccati传递矩阵和Wilson-θ法相结合的方法,建立了多盘转子的动力学方程,以及热启动过程中的瞬态传递矩阵表达式。模拟计算了热启动过程中转子径向温差、线膨胀系数等参数对转子系统振动特性的影响。计算结果表明,随着转子系统径向温差的增大,其固有频率逐渐降低,特别对一阶、二阶固有频率具有较大的影响;径向温差、线膨胀系数越大,转子系统热启动过程中的瞬态响应幅值越大。因此,在对转子系统的振动研究中,不应当忽略温度的影响。

To reveal the dynamic characteristics of the complicated rotor system in the process of thermal start,the kinetic equation of the multi-disc rotor and the expression formula for the transient transfer matrix in the process of thermal start are built with the help of the combination of Riccati transfer matrix and Wilson-θ methods.The influence of the parameters,such as radial temperature difference,linear expansion coefficient and so on,on the vibration characteristic in the process of thermal start is calculated.The calculation result shows that,with the increase of radial temperature difference of the rotor system,its natural frequency decreases gradually.Especially,the first-order and second-order natural frequencies are affected more greatly.The larger the radial temperature difference and linear expansion coefficient are,the larger the amplitude of the transient response is.Therefore,the influence of temperature should not be ignored in the vibration study of the rotor system.