Analyzing and predicting the nonlinear aeroelastic response

老化的飞机或运行中的飞机在飞行包线内可能会表现出非线性气动弹性现象，如极限环振荡(LCO)。一般来说，LCO对飞机的性能有负面影响，但由于非线性而导致的有限幅度LCoS，是一种比启动破坏性颤振更好的选择。因此，对于飞行器的设计，以及在主动控制和自适应控制的研究中，检测非线性的存在是非常重要的。此外，找到特定类型的非线性也很重要。该项目的主要目标是开发与气动弹性系统相关的非线性检测方法，并预测飞行条件变化时的气动弹性响应。拟议的方法结合了数学分析和统计方法。这些方法仅使用一组暂态数据，就能识别非线性并确定气动弹性系统的渐近状态。在许多其他非线性动力系统的输出中，都可以发现与气动弹性响应类似的振动。因此，本课题不仅在研究非线性气动弹性方面具有很强的潜力，而且在非线性性质的分析以及金融或生物医学复杂数据的预测方面也具有很强的潜力。

Aging aircraft or operational aircraft carrying heavy externals may exhibit nonlinear aeroelastic phenomena, such as limit cycle oscillations (LCO), within their flight envelope. Generally the LCO has a negative effect on the aircraft performance, but limited amplitude LCOs due to non-linearities, are a better alternative than the onset of destructive flutter oscillations. Thus, for the flight vehicle design, and in the study of active and adaptive control, it is important to detect the presence of the non-linearities. Moreover, finding the particular type of the non-linearities is also important. The main objective of this project is to develop methods for detecting the nonlinearities associated with an aeroelastic system, and to predict the aeroelastic response for changing flight conditions. The proposed methodology incorporates mathematical analysis and statistical methods. Using only a set of transient data, these methods are capable of identifying nonlinearities and determining the asymptotic state of the aeroelastic system. Oscillations similar with the aeroelastic response can be found as the output of many other nonlinear dynamical systems. Thus, the present project has a strong potential not only in the study of nonlinear aeroelasticity, but also in the analysis of the nature of nonlinearities and in the prediction of financial or biomedical complex data.