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Uncertainty Quantification of Subcritical Nonlinear Aeroelastic system using Integrated Interpolation Method and Polynomial chaos expansion

机译：集成插值法和多项式混沌扩张的亚临界非线性空气弹性系统的不确定性定量

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The present paper is about analyzing and quantifying parametric uncertainties in a nonlinear aeroelastic system. The response surface of a subcritical system has discontinuities which makes it difficult to analyze using spectral approaches. A quadrature based spectral parametric uncertainty tool called nonintrusive spectral projection (NISP) can capture discontinuities in the response surface only by infinite number of points. As the number of random variable increases, the order of expansion has to increase drastically in order to capture the response accurately. Hence an alternate approach using integrated interpolation scheme which was earlier applied for a thermoacoustic problem is being applied to a classical flutter problem. It is found to be accurate and computationally cheaper than traditional Monte Carlo simulations (MCS) in capturing the response surface. This paper intends to apply the interpolation scheme to the nonlinear aeroelastic model and compares it with quadrature based polynomial chaos expansion (PCE) approach and MCS.
机译：本文关于在非线性空气弹性系统中分析和定量参数不确定性。亚临界系统的响应表面具有不连续性，这使得难以使用光谱方法分析。基于正交的频谱参数不确定工具（称为非流度频谱投影）（NISP）可以仅通过无限数点捕获响应面中的不连续性。随着随机变量的数量增加，扩展顺序必须大幅增加，以便准确地捕获响应。因此，使用前面应用于热声问题的集成插值方案的替代方法正在应用于经典的颤动问题。在捕获响应表面时，它被发现比传统的蒙特卡罗模拟（MCS）更准确和计算地便宜。本文旨在将插值方案应用于非线性空气弹性模型，并将其与基于正交的多项式混沌扩展（PCE）方法和MCS进行比较。

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