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Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers

机译:基于目标能量转移的气动弹性失稳抑制动力学非线性系统识别

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摘要

We revisit our earlier study of targeted energy transfer (TET) mechanisms for aeroelastic instability suppression by employing time-domain nonlinear system identification based on the equivalence between analytical and empirical slow flows. Performing multiscale partitions of the dynamics directly on measured (or simulated) time series without any presumptions regarding the type and strength of the system nonlinearity, we derive nonlinear interaction models (NIMs) as sets of intrinsic modal oscillators (IMOs). The eigenfre-quencies of IMOs are characterised by the 'fast' dynamics of the problem and their forcing terms represent slowly-varying nonlinear modal interactions across the different time scales of the dynamics. We demonstrate that NIMs not only provide information on modal energy exchanges under nonlinear resonant interactions, but also directly dictate robustness behaviour of TET mechanisms for suppressing aeroelastic instabilities. Finally, we discuss the usefulness of NIMs in constructing frequency-energy plots that reveal global features of the dynamics to distinguish between different TET mechanisms and to study robustness of aeroelastic instability suppression.
机译:我们通过基于分析和经验慢流之间的等效性,采用时域非线性系统识别,来重新研究用于抑制气动弹性不稳定性的目标能量传递(TET)机制。在不对系统非线性的类型和强度进行任何假设的情况下,直接在测量(或模拟)的时间序列上对动力学进行多尺度划分,我们将非线性相互作用模型(NIM)导出为固有模态振荡器(IMO)集。 IMO的特征频率以问题的“快速”动力学为特征,其强迫项表示在动力学的不同时间尺度上缓慢变化的非线性模态相互作用。我们证明,NIM不仅提供非线性共振相互作用下模态能量交换的信息,而且直接指示TET机制抑制气动弹性不稳定性的鲁棒性行为。最后,我们讨论了NIM在构建频率能量图时的有用性,这些图揭示了动力学的全局特征,以区分不同的TET机制并研究气动弹性不稳定性抑制的鲁棒性。

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