模型不确定性单转子系统固有频率分析

NATURAL FREQUENCY ANALYSIS OF SINGLE ROTOR SYSTEM WITH MODEL UNCERTAINTY

为了研究参数近似和由认知不足导致的建模误差分别对单转子系统固有频率的影响,采用Riccati传递矩阵法以及非参数方法,对具有不确定性转子系统的固有频率进行了研究。分析了支承刚度、轴段长度、节点质量、弹性模量等多种参数不确定性和模型不确定性对转子系统固有频率的贡献度。研究结果表明,对于不确定单转子系统的固有频率,模型不确定和参数不确定对其造成的影响范围有较大差异,而且不同参数的不确定性造成其波动的大小也各不相同。研究结果可为稳态及瞬态不平衡响应的不确定动力学问题研究提供理论参考。

In order to study the effects of parameter approximation and modeling errors caused by lack of cognition on the natural frequency of a single-rotor system respectively,the Riccati transfer matrix method and non-parametric method was applicated to calculate the natural frequency of the rotor system with uncertainty.The contribution of various parameter uncertainties such as support stiffness,shaft length,joint mass and elastic modulus and model uncertainty to the natural frequency of rotor system was analyzed.The results show that for the natural frequency of the uncertain rotor system,the influence range of model uncertainty and parameter uncertainty is quite different,and the magnitude of the fluctuation caused by the uncertainty of different parameters is also different.The research has theoretical reference for the study of uncertain dynamics of steady-state and transient unbalanced responses.