Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements

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• 作者：Jeroen A.S. Witteveen ; Hester Bijl
• 关键词：Stochastic Finite Elements ; Fluid– ; structure interaction ; Multi-frequency response ; Wavelets
• 刊名：Journal of Computational Physics
• 出版年：2009
• 出版时间：1 October 2009
• 年：2009
• 卷：228
• 期：18
• 页码：7025-7045
• 全文大小：1889 K

文摘

The Unsteady Adaptive Stochastic Finite Elements (UASFE) method resolves the effect of randomness in numerical simulations of single-mode aeroelastic responses with a constant accuracy in time for a constant number of samples. In this paper, the UASFE framework is extended to multi-frequency responses and continuous structures by employing a wavelet decomposition pre-processing step to decompose the sampled multi-frequency signals into single-frequency components. The effect of the randomness on the multi-frequency response is then obtained by summing the results of the UASFE interpolation at constant phase for the different frequency components. Results for multi-frequency responses and continuous structures show a three orders of magnitude reduction of computational costs compared to crude Monte Carlo simulations in a harmonically forced oscillator, a flutter panel problem, and the three-dimensional transonic AGARD 445.6 wing aeroelastic benchmark subject to random fields and random parameters with various probability distributions.