轴系扭振中的 Hopf 分歧分析

The Hopf Ramification Analysis for Axial-System Torsional Oscillations

文中把发电机轴系扭振的分析扩展到非线性领域，并对轴系扭振中的Ｈｏｐｆ分歧现象进行了研究，利用时域仿真结果对从描述轴系扭振的近似非线性微分方程分析所得结果进行了验证。研究表明，由于存在Ｈｏｐｆ分歧现象，轴系扭振的不稳定范围明显小于应用特征根分析法所预测的范围。

This paper extends the analysis for axial-system torsional oscillation into the nonlinear domain,and the research for Hopf ramification phenomena in axial-system torsional oscillation has been made using the time-domain simulating results,it verified the analysis results of similar nonlinear differential equation describing the axial-system torsional oscillations.The research Shows that due to the exsistance of Hopf ramification Phenomena,the unstable range of axial-system torsional oscillations is evidently smaller than the range foreseen by the characteristic root analysing method.