Reduced order model-based uncertainty modeling of structures with localized response

Song, Pengchao; Mignolet, Marc P.

doi:10.1016/j.probengmech.2017.12.002

Cited by 6 publications

(2 citation statements)

References 12 publications

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“…The combination of the uncertainties on the local (the first approach of In the previous chapter, the randomization of the local component of the two-level composite model by the maximum entropy nonparametric method was found to lead to global effects on the Cp. This behavior is similar to the one observed in [10].…”

Section: Random Local and Arma Coefficientssupporting

confidence: 89%

Toward an Uncertain Modeling of Hypersonic Aerodynamic Forces

Sharma

2020

AIAA Scitech 2020 Forum

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The focus of this investigation is on the development of a surrogate model of hypersonic aerodynamic forces on structures to reduce the computational effort involved in the determination of the structural response. The application is more precisely focused on uncertain structures. Then, following an uncertainty management strategy, the surrogate may exhibit an error with respect to Computational Fluid Dynamics (CFD) reference data as long as that error does not significantly affect the uncertainty band of the structural response. Moreover, this error will be treated as an epistemic uncertainty introduced in the model thereby generating an uncertain surrogate. Given this second step, the aerodynamic surrogate is limited to those exhibiting simple analytic forms with parameters that can be identified from CFD data. The first phase of the investigation focuses on the selection of an appropriate form for the surrogate for the 1-dimensional flow over a flat clamped-clamped. Following piston theory, the model search started with purely local models, linear and nonlinear of the local slope. A second set of models was considered that involve also the local displacement, curvature, and integral of displacement and an improvement was observed that can be attributed to a global effect of the pressure distribution. Various ways to involve such a global effect were next investigated eventually leading to a two-level composite model based on the sum of a local component represented as a cubic polynomial of the downwash and a global component represented by an auto-regressive moving average (ARMA) model driven nonlinearly by the local downwash. This composite model is applicable to both steady Figure Page 19. Fitting Error Comparison for Mach 12 with Cubic Slope, Mode Independent Model and Coefficients as Quadratic Expression of 1/M ………………….………. 20. Fitting Error Comparison for Mode 1, Mach12 with Local Linear And Cubic Slope, Mode Dependent Model ……..……………………...……….………. 21. Comparison of CFL3D Cp and Approximated Cp with Local Linear Slope and Local Cubic Slope, Mode Independent Model (a) Mode 1, Mach 12, Amplitude-1mm (b) Mode 1, Mach 12, Amplitude +3mm …….….…… 22. Fitting Error Comparison for Mode 2, Mach 12 with Local Linear and Cubic Slope, Mode Independent Model ……...…...……………………….………. 23. Comparison of CFL3D Cp and Approximated Cp with Local Linear Slope and Local Cubic Slope, Mode Independent Model (a) Mode 2, Mach 12, Amplitude +1mm (b) Mode 2, Mach 12, Amplitude-3mm ……...…….. 24. Fitting Error Comparison for Mode 3, Mach12 with Local Linear and Cubic Slope, Mode Independent Model …...……………………………….……… 25. Comparison of CFL3D Cp and Approximated Cp with Local Linear Slope and Local Cubic Slope, Mode Independent Model (a) Mode 3, Mach 12, Amplitude-0.5mm (b) Mode 3, Mach 12, Amplitude +1.5mm …...……. 26. Fitting Error Comparison for Mode 4, Mach 12 with Local Linear and Cubic Slope, Mode Independent Model ………...…………………………….…… 27. Comparison of CFL3D Cp and Approximated Cp with Local Linear Slope and Local Cubic Slope, Mod...

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Section: Random Local and Arma Coefficientssupporting

confidence: 89%

Toward an Uncertain Modeling of Hypersonic Aerodynamic Forces

Sharma

2020

AIAA Scitech 2020 Forum

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“…There exist numerous well-developed, efficient model reduction methods for blisks with small stiffness mistuning [17,18], or in some other cases, part of the blades are further mistuned by geometric modifications [19][20][21][22]. However, there are a quite limited number of options applicable to the blisks fully mistuned by blade geometric variances.…”

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confidence: 99%

Sector Mode Assembling Reduction Technique for High-Fidelity Blisk Models with Geometry Mistuning

Zhou

Zhao

et al. 2023

AIAA Journal

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Blade mistuning in blisks arises primarily from the scatters of blade geometry profiles caused by manufacturing tolerance, in-service wear, blade repairs, etc. There is a recent trend to capture the blade-to-blade geometry variances through precise geometry measurements by a 3D optical scanning system in order to obtain an improved blade geometric mistuning evaluation capability. However, this usually leads to prohibitive computational costs due to the large-scale, high-fidelity industrial blisk finite element models. This paper develops an original model reduction approach, Sector Mode Assembling Reduction Technique (SMART), specifically for the high-fidelity blisk model fully mistuned by blade geometric variances, with either topologically compatible or incompatible blade meshes. The basic idea of SMART is to construct the sector-level reduction mode basis by strategically assembling the truncated cyclic modes independently computed for each “isolated” sector with assumed cyclic symmetry at the sector interfaces. Benefiting from the block structure of the SMART mode basis, the reduced-order models are derived by a series of sector-level projections with a relatively low memory requirement and computational cost. Another hidden benefit is that the SMART approach enables efficient structural modification predictions of the global blisk modes because only the modes of the sectors undergoing blade modification need to be re-evaluated and replaced in the SMART mode basis. The SMART approach is applied into a high-fidelity “as-measured model” of a blended blisk, constructed upon the geometry measurement by the state-of-the-art 3D optical scanning technology. It is fully demonstrated that the reduced-order model derived by SMART, featured by a minimal size, is able to reproduce the dynamics of the full-order as-measured blisk model with high accuracy.

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Maximum entropy-based uncertainty modeling at the elemental level in linear structural and thermal problems

Song

Mignolet

2019

Comput Mech

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Reduced order model-based uncertainty modeling of structures with localized response

Cited by 6 publications

References 12 publications

Toward an Uncertain Modeling of Hypersonic Aerodynamic Forces

Toward an Uncertain Modeling of Hypersonic Aerodynamic Forces

Sector Mode Assembling Reduction Technique for High-Fidelity Blisk Models with Geometry Mistuning

Maximum entropy-based uncertainty modeling at the elemental level in linear structural and thermal problems

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