Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies

Moçayd, Nabil El; Mohamed, M. Shadi; Seaı̈d, Mohammed

doi:10.1016/j.jocs.2021.101344

Cited by 8 publications

(2 citation statements)

References 69 publications

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“…Therefore, if a non-intrusive method based on the Nastran software can be developed to calculate the aeroelastic characteristics of folding wings, it can simplify the flutter analysis process of folding wings and promote it to engineering applications. At present, non-intrusive methods are mostly used in the field of uncertainty quantification and propagation [19][20][21][22][23]. In recent years, some scholars have also begun to use non-invasive methods for research in the field of aeroelasticity [24,25].…”

Section: Introductionmentioning

confidence: 99%

Flutter Characteristics of a Modified Z-Shaped Folding Wing Using a New Non-Intrusive Model

Qi,

Wu,

Tian

2024

Aerospace

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Unmanned aerial vehicles (UAVs) with folding wings can serve in multiple mission profiles, usually accompanied by sudden changes in flight speed. These bring great challenges to the aeroelastic design of UAVs, especially in the calculation of flutter characteristics. This paper developed a new non-intrusive aeroelastic model to quickly calculate the flutter characteristics of Z-shaped folding wings at different folding angles. First, the original Z-shaped folding wing was designed to be enhanced. Beams and ribs were arranged inside each wing segment to enhance the structural strength performance. Control surfaces were arranged in the middle-wing and outer-wing to enhance the aerodynamic control performance. Second, a parametric aeroelastic model at any folding angle was reconstructed based on the input file of Nastran software for the flutter calculation of the folding wing in the unfolded state. Finally, the effects of parameters such as folding angle, hinge stiffness between different wing segments, and hinge stiffness of the control surfaces on the flutter characteristics of the folding wing were investigated. The results show that the enhancement scheme could significantly increase the flutter speed and flutter frequency of the folding wing. The hinge stiffness between each wing segment had a significant impact on the flutter characteristics of the folding wing, but flutter at the control surface basically did not occur.

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Section: Introductionmentioning

confidence: 99%

Flutter Characteristics of a Modified Z-Shaped Folding Wing Using a New Non-Intrusive Model

Qi,

Wu,

Tian

2024

Aerospace

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“…The polynomial chaos expansion method has the advantages of constructing surrogate models with high accuracy, computing system responses efficiently, and handling systems with cross-terms effectively. It has been widely used in different engineering fields, such as heat conduction [32], structural mechanics [33,34], fluid mechanics [35], environmental and acoustic fields [36,37], electrical properties of nanomaterials [38], flexoelectric materials [39], and stochastic difference equations [40].…”

Section: Introductionmentioning

confidence: 99%

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

Yuan

Huang

et al. 2023

Front. Phys.

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An efficient method of moments (MoM) based on polynomial chaos expansion (PCE) is applied to quickly calculate the electromagnetic scattering problems. The triangle basic functions are used to discretize the surface integral equations. The polynomial chaos expansion is utilized to accelerate the MoM by constructing a surrogate model for univariate and bivariate analysis. The mathematical expressions of the surrogate model for the radar cross-section (RCS) are established by considering uncertain parameters such as bistatic angle, incident frequency, and dielectric constant. By using the example of a scattering cylinder with analytical solution, it is verified that the MoM accelerated by PCE presents a considerable advantage in computational expense and speed.

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Computationally efficient and error aware surrogate construction for numerical solutions of subsurface flow through porous media

Sorokin,

Pachalieva,

O’Malley

et al. 2024

Advances in Water Resources

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Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies

Cited by 8 publications

References 69 publications

Flutter Characteristics of a Modified Z-Shaped Folding Wing Using a New Non-Intrusive Model

Flutter Characteristics of a Modified Z-Shaped Folding Wing Using a New Non-Intrusive Model

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

Computationally efficient and error aware surrogate construction for numerical solutions of subsurface flow through porous media

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