Polynomial chaos expansion with latin hypercube sampling for estimating response variability

SK Choi, RV Grandhi, RA Canfield, CL Pettit - AIAA journal, 2004 - arc.aiaa.org
A computationally efficient procedure for quantifying uncertainty and finding significant
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 …

Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures

P Ni, Y Xia, J Li, H Hao - Mechanical Systems and Signal Processing, 2019 - Elsevier
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 …

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 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 …

Structural reliability under non-Gaussian stochastic behavior

SK Choi, RV Grandhi, RA Canfield - Computers & structures, 2004 - Elsevier
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 …

Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion

J Didier, B Faverjon, JJ Sinou - Journal of Vibration and …, 2012 - journals.sagepub.com
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 …

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 …

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 …

Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling

M Thapa, SB Mulani, RW Walters - Computer Methods in Applied …, 2020 - Elsevier
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 …