Recent advances in surrogate modeling methods for uncertainty quantification and propagation
C Wang, X Qiang, M Xu, T Wu - Symmetry, 2022 - mdpi.com
Surrogate-model-assisted uncertainty treatment practices have been the subject of
increasing attention and investigations in recent decades for many symmetrical engineering …
increasing attention and investigations in recent decades for many symmetrical engineering …
Static homotopy response analysis of structure with random variables of arbitrary distributions by minimizing stochastic residual error
The modelling of realistic engineering structures with uncertainties often involves various
probabilistic distribution types, which bring forward higher requirements for the generality of …
probabilistic distribution types, which bring forward higher requirements for the generality of …
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method
This work models spatially uncorrelated (independent) load uncertainty and develops a
reduced-order Monte Carlo stochastic isogeometric method to quantify the effect of the load …
reduced-order Monte Carlo stochastic isogeometric method to quantify the effect of the load …
An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures
This paper presents an n-th high order perturbation-based stochastic isogeometric Kirchhoff–
Love shell method, formulation and implementation for modeling and quantifying geometric …
Love shell method, formulation and implementation for modeling and quantifying geometric …
Stochastic isogeometric buckling analysis of composite shell considering multiple uncertainties
An efficient stochastic isogeometric analysis (SIGA) framework considering multiple
uncertainties is proposed for the stochastic buckling analysis of composite shells. The …
uncertainties is proposed for the stochastic buckling analysis of composite shells. The …
A matrix-free isogeometric Galerkin method for Karhunen–Loève approximation of random fields using tensor product splines, tensor contraction and interpolation …
Abstract The Karhunen–Loève series expansion (KLE) decomposes a stochastic process
into an infinite series of pairwise uncorrelated random variables and pairwise L 2-orthogonal …
into an infinite series of pairwise uncorrelated random variables and pairwise L 2-orthogonal …
Polyphase uncertainty analysis through virtual modelling technique
A virtual model aided non-deterministic static analysis (including linear and nonlinear
analyses) with polyphase uncertainty is presented in this paper. Within an uncertain system …
analyses) with polyphase uncertainty is presented in this paper. Within an uncertain system …
A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties
Z Liu, M Yang, J Cheng, J Tan - Applied Mathematical Modelling, 2021 - Elsevier
A new stochastic isogeometric analysis method based on reduced basis vectors (SRBIGA) is
proposed for engineering structures with random field material properties and external …
proposed for engineering structures with random field material properties and external …
Meta-model based stochastic isogeometric analysis of composite plates
Z Liu, M Yang, J Cheng, D Wu, J Tan - International Journal of Mechanical …, 2021 - Elsevier
A stochastic isogeometric analysis approach (SIGA) is presented for functionally graded
porous plates with graphene platelets reinforcement (FGP-GPLs). Different kinds of random …
porous plates with graphene platelets reinforcement (FGP-GPLs). Different kinds of random …
Stochastic isogeometric analysis for the linear stability assessment of plate structures using a Kriging enhanced Neural Network
Z Liu, M Yang, J Cheng, D Wu, J Tan - Thin-Walled Structures, 2020 - Elsevier
The stability of functionally graded porous plates with graphene platelets reinforcement
(FGP-GPLs) is investigated in this paper. Combining with a new metamodeling approach …
(FGP-GPLs) is investigated in this paper. Combining with a new metamodeling approach …