Polynomial chaos expansion with latin hypercube sampling for estimating response variability
A computationally efficient procedure for quantifying uncertainty and finding significant
parameters of uncertainty models is presented. To deal with the random nature of input …
parameters of uncertainty models is presented. To deal with the random nature of input …
Uncertainty quantification using polynomial chaos expansion with points of monomial cubature rules
DL Wei, ZS Cui, J Chen - Computers & Structures, 2008 - Elsevier
This paper proposes an efficient method for estimating uncertainty propagation and
identifying influence factors contributing to uncertainty. In general, the system is dominated …
identifying influence factors contributing to uncertainty. In general, the system is dominated …
Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures
The quantification of the uncertainty effect of random system parameters, such as the
loading conditions, material and geometric properties, on the system output response has …
loading conditions, material and geometric properties, on the system output response has …
Efficient uncertainty quantification applied to the aeroelastic analysis of a transonic wing
S Hosder, R Walters, M Balch - 46th AIAA Aerospace Sciences Meeting …, 2008 - arc.aiaa.org
The application of a Point-Collocation Non-Intrusive Polynomial Chaos method to the
uncertainty quantification of a stochastic transonic aeroelastic wing problem has been …
uncertainty quantification of a stochastic transonic aeroelastic wing problem has been …
Uncertainty quantification in stochastic systems using polynomial chaos expansion
K Sepahvand, S Marburg, HJ Hardtke - International Journal of …, 2010 - World Scientific
In recent years, extensive research has been reported about a method which is called the
generalized polynomial chaos expansion. In contrast to the sampling methods, eg, Monte …
generalized polynomial chaos expansion. In contrast to the sampling methods, eg, Monte …
Structural reliability under non-Gaussian stochastic behavior
One of the important issues in uncertainty analysis is to find an effective way for propagating
uncertainty through the system. In this paper, the polynomial chaos expansion (PCE) was …
uncertainty through the system. In this paper, the polynomial chaos expansion (PCE) was …
Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion
In this paper, the quantification of uncertainty effects on response variability in rotor systems
is investigated. To avoid the use of Monte Carlo simulation (MCS), one of the most …
is investigated. To avoid the use of Monte Carlo simulation (MCS), one of the most …
Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos
M Eldred, C Webster, P Constantine - 49th AIAA/ASME/ASCE/AHS/ASC …, 2008 - arc.aiaa.org
Polynomial chaos expansions (PCE) are an attractive technique for uncertainty
quantification (UQ) due to their strong mathematical basis and ability to produce functional …
quantification (UQ) due to their strong mathematical basis and ability to produce functional …
Efficient sampling for non-intrusive polynomial chaos applications with multiple uncertain input variables
S Hosder, R Walters, M Balch - 48th AIAA/ASME/ASCE/AHS/ASC …, 2007 - arc.aiaa.org
The accuracy and the computational efficiency of a Point-Collocation Non-Intrusive
Polynomial Chaos (NIPC) method applied to stochastic problems with multiple uncertain …
Polynomial Chaos (NIPC) method applied to stochastic problems with multiple uncertain …
Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling
An efficient framework to obtain stochastic models of responses with polynomial chaos
expansion (PCE) using an adaptive least-squares approach is presented in this paper. PCE …
expansion (PCE) using an adaptive least-squares approach is presented in this paper. PCE …
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