Results 31 to 40 of about 1,085 (180)
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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Polynomial Chaos Expansion Efficient Evaluation and Estimation of Computational Models [PDF]
SSRN Electronic Journal, 2022 Abstract We apply Polynomial chaos expansion (PCE) to surrogate time-consuming repeated model evaluations for different parameter values. PCE represents a random variable, the quantity of interest (QoI), as a series expansion of other random variables, the inputs.
Fehrle, Daniel +2 more
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Stochastic Finite Element Analysis using Polynomial Chaos
Studia Geotechnica et Mechanica, 2016 This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical ...
Drakos S., Pande G.N.
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Applied Mechanics, 2021 In order to analyze the dynamics of a structural problem accurately, a precise model of the structure, including an appropriate material description, is required.
Marcel S. Prem +2 more
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Deep Polynomial Chaos Expansion
CoRR29th International Conference on Artificial Intelligence and Statistics (AISTATS ...
Johannes Exenberger +2 more
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On the convergence of generalized polynomial chaos expansions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2011 A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures.
Oliver G. Ernst +3 more
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Machines, 2023 This paper presents an efficient method for obtaining the dynamic mesh stiffness and dynamic response of a helical gear pair. Unlike the traditional dynamic model that utilizes a time-dependent sequence, the mesh stiffness using the presented method is ...
Hongxu Tian +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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STOCHASTIC POLYNOMIAL CHAOS EXPANSIONS TO EMULATE STOCHASTIC SIMULATORS
International Journal for Uncertainty Quantification, 2023 In the context of uncertainty quantification, computational models are required to be repeatedly evaluated. This task is intractable for costly numerical models. Such a problem turns out to be even more severe for stochastic simulators, the output of which is a random variable for a given set of input parameters.
Zhu, Xujia +1 more
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Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion
Shock and Vibration, 2020 A vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution.
Bin Xiao +5 more
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