Abstract An experimental-based approach to flutter speed uncertainty quantification in aeroelastic systems is developed. The proposed technique considers uncertainty from a post-manufacture perspective. Variability due to manufacturing tolerances, damage and degradation is formulated as a stochastic structural modification to a single set of measured receptance data. The Sherman-Morrison formula is exploited so that the probability of flutter is evaluated either from parameter bounds or by using a first-order reliability method. The advantage of the formulation is that there is no requirement to model either the structure or aerodynamics, thereby avoiding model-form and parameter uncertainties. Numerical examples are provided, which demonstrate the efficiency of the method when compared to conventional Monte-Carlo simulation (MCS). The method is also demonstrated in experimental examples and it is shown to be eminently practical since the data required for MCS is generally not available in industrial practice.

中文翻译：

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使用随机结构修改的气动弹性稳定性分析

摘要 开发了一种基于实验的气动弹性系统颤振速度不确定性量化方法。所提出的技术从制造后的角度考虑了不确定性。由于制造公差、损坏和退化引起的可变性被表述为对单组测量接收数据的随机结构修改。利用 Sherman-Morrison 公式，可以根据参数范围或使用一阶可靠性方法来评估颤振概率。该公式的优点是不需要对结构或空气动力学进行建模，从而避免了模型形式和参数的不确定性。提供了数值示例，与传统的蒙特卡洛模拟 (MCS) 相比，它们证明了该方法的效率。