Comparison of Stochastic Methods for the Variability Assessment of Technology Parameters [PDF]
, 2011 This paper provides and compares two alternative solutions for the simulation of cables and interconnects with the inclusion of the effects of parameter uncertainties, namely the Polynomial Chaos (PC) method and the Response Surface Modeling (RSM).
Stievano, Igor Simone +7 more
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An Efficient Polynomial Chaos Method for Stiffness Analysis of Air Spring Considering Uncertainties
Complexity, 2021 Traditional methods for stiffness analysis of the air spring are based on deterministic assumption that the parameters are fixed. However, uncertainties have widely existed, and the mechanic property of the air spring is very sensitive to these ...
Feng Kong, Penghao Si, Shengwen Yin
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Bayesian inference of earthquake rupture models using polynomial chaos expansion [PDF]
Geoscientific Model Development, 2018 In this paper, we employed polynomial chaos (PC) expansions to understand earthquake rupture model responses to random fault plane properties. A sensitivity analysis based on our PC surrogate model suggests that the hypocenter location plays a ...
H. Cruz-Jiménez +5 more
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Active Learning-based Domain Adaptive Localized Polynomial Chaos Expansion
, 2023 The paper presents a novel methodology to build surrogate models of complicated functions by an active learning-based sequential decomposition of the input random space and construction of localized polynomial chaos expansions, referred to as domain ...
Vořechovský, Miroslav +3 more
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IEEE Access, 2019 The problem of characterizing the sensitivity indices of structural performance considering random and interval uncertainty variables simultaneously is analyzed.
Chan Qiu +3 more
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Polynomial chaos expansions for damped oscillators
, 2015 Uncertainty quantification is the state-of-the-art framework dealing with uncertainties arising in all kind of real-life problems. One of the framework’s functions is to propagate uncertainties from the stochastic input factors to the output quantities of interest, hence the name uncertainty propagation.
Mai, Chu V., Sudret, Bruno
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PoCET: a Polynomial Chaos Expansion Toolbox for Matlab
IFAC-PapersOnLine, 2020 6 pages, 4 figures, Accepted for the 21st IFAC WC ...
Felix Petzke +2 more
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters
Complexity, 2018 The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications ...
Rugao Gao, Keping Zhou, Yun Lin
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An Efficient Polynomial Chaos Expansion Method for Uncertainty Quantification in Dynamic Systems
Applied Mechanics, 2021 Uncertainty is a common feature in first-principles models that are widely used in various engineering problems. Uncertainty quantification (UQ) has become an essential procedure to improve the accuracy and reliability of model predictions.
Jeongeun Son, Yuncheng Du
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Identification of ground anchors reliability based on acceptance tests and the polynomial chaos expansion method [PDF]
Archives of Civil EngineeringThe paper presents a reliability analysis of ground anchors based on acceptance tests and the polynomial chaos expansion method. First of all, it was estimated the probability of meeting the requirements of acceptance tests based on anchor tests realised
Marek Wyjadłowski +3 more
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