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Experimental Validation of Polynomial Chaos Theory on an Aircraft T-Tail

机译:多项式混沌理论对飞机T尾的实验验证

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Uncertainty quantification (UQ) is a notion which has received much interest over the past decade. It involves the extraction of statistical information from a problem with inherent variability, where this variability may stem from a lack of model knowledge or through observational uncertainty. Traditionally, UQ has been a challenging pursuit owing to the lack of efficient methods available. The archetypal UQ method is Monte Carlo theory, however this method possesses a slow convergence rate and is therefore a computational burden. In contrast to Monte Carlo theory, polynomial chaos theory aims to spectrally expand the modelled uncertainty via polynomials of random variables which have deterministic coefficients. Once the spectral expansion has been fully defined, it is possible to obtain statistical properties using simple integration procedures. Although literature has proven polynomial chaos theory to be more efficient than Monte Carlo theory in several contexts, there has been very little effort to experimentally validate polynomial chaos theory. Hence, it is the aim of this paper to perform an experimental validation on an in-house physical T-Tail structure by analysing the first six vibrational modes of this structure, and comparing these against the predicted uncertainty bounds of polynomial chaos theory.
机译:不确定性量化(UQ)是过去十年接受了很多兴趣的概念。它涉及从具有固有变异性的问题提取统计信息,其中这种可变性可能源于缺乏模型知识或通过观察不确定性。传统上,由于缺乏有效的方法,UQ是一个挑战的追求。 archetypal UQ方法是蒙特卡罗理论,但这种方法具有缓慢的收敛速度,因此是计算负担。与蒙特卡罗理论相反,多项式混沌理论旨在通过具有确定性系数的随机变量的多项式光谱扩展模型不确定性。一旦频谱膨胀已经完全定义,就可以使用简单的集成程序获得统计属性。虽然文学已经证明多项式混沌理论比在几个语境中比蒙特卡罗理论更有效,但实验验证多项式混沌理论一直很少努力。因此,本文的目的是通过分析该结构的前六种振动模式,并将其与多项式混沌理论的预测不确定性界定进行比较,以对内部物理T尾结构进行实验验证。

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