激励幅值慢变转子系统的动力学研究

Study on Dynamics of Rotor Systems with Slowly Varying Excitation Magnitude

建立了激励幅值慢变转子系统的动力学模型,利用渐近法对其动力学行为进行解析研究,得到了用显式形式表示的近似解析解,给出了系统响应的时域波形图和轴心轨迹图,分析了激励频率和系统阻尼对最大轴心位移的影响。结果表明:激励幅值慢变转子系统的振幅会产生相应的慢变波动,此类转子系统为多周期运动,周期数取决于激励频率和幅值慢变系数组合关系,且振动周期具有参数慢变敏感性等。

A dynamic model of the rotor system with slowly varying excitation magnitude was set up. The dynamic behaviors were studied theoretically using an asymptotic method and the approximate analytic solutions were obtained in an explicit formulation. The time domain waveform curve and axis trace map of the rotor system vibration were given, and the maximum axis displacement influenced by excitation frequency and system damping was analyzed. The conclusion indicates that the vibration magnitude of rotor systems with slowly varying excitation magnitude can fluctuate in a corresponding slowly varying way. Response of the rotor system is multiply periodic motion, and the period is decided by the combined relationship of excitation frequency and magnitude slowly varying coefficient, otherwise the vibration period is sensitive to slowly varying parameter, etc.