转子轴系耦合振动模型一般性解析式推导与分析  

Detailed deduction and analysis of the general analytical model of coupling vibration in a rotor system

作　　者：伍敏[1] 杨晟博[1] 鲍文[1] 杨金福[1,2] 

机构地区：[1]哈尔滨工业大学能源科学与工程学院,哈尔滨150001 [2]中国科学院工程热物理研究所,北京100190

出　　处：《航空动力学报》2017年第5期1112-1119,共8页Journal of Aerospace Power

基　　金：基金项目:微型移动式燃气轮机冷热电联供技术及示范(2012BAA11B02)

摘　　要：基于转子受到的线性和非线性作用机理,引入线性尺度因子、非线性尺度因子和耦合强度比作为特征参量,分别构建了阻尼力和刚度力的一般表达式,进而推导出转子轴系一般形式的线性与非线性耦合的振动模型.基于仅考虑质量不平衡激励的单圆盘转子轴系,应用多尺度法求解出该方程的稳态解及瞬态解.通过对解析解的分析,揭示了线性与非线性耦合作用及响应的振动机理.通过数值计算分析了瞬态时间尺度因子对响应的影响,瞬态时间尺度因子越大,瞬态解衰减越快,越接近于稳态解.对稳态解短时傅里叶变换的幅频特性进行分析,可发现1倍频出现了非线性特征,3倍频存在双峰特征,进一步阐述了非线性尺度因子对转子轴系耦合振动的影响.Based on the mechanism of linear and nonlinear forces on the rotor system,the linear scale factor,nonlinear scale factor and coupling ratio was introduced as characteristic parameters,the general expressions of damping and stiffness forces were established,so a general form of linear and nolinear coupling vibration model was formulated.Considering a single-disc rotor system excited only by mass unbalance force,the steady-state and transientstate solutions were derived through multi-scale method.The analysis on the analytical solutions showed the vibration mechanism of linear and nonlinear coupling effects and responses.The influence of transient time scale factor on responses was analyzed through numerical calculation.When transient time scale factor was larger,the transient-state solution decayed faster,approaching the steady-state solution closer.The amplitude-frequency characteristics were also analyzed by the short time Fourier transform of the steady-state solution.It can be seen that the first harmonic generation has nonlinear characteristics and the third harmonic generation has double-peak characteristics,further elaborating the influences of nonlinear scale factor on the coupling vibration of the rotor system.

关 键 词：转子轴系 耦合振动 解析解 非线性尺度因子 瞬态时间尺度因子 

分 类 号：V231.92[航空宇航科学与技术—航空宇航推进理论与工程] O322[理学—一般力学与力学基础]