Non-probabilistic polygonal convex set model for structural uncertainty quantification

DOI10.1016/J.APM.2020.07.025zbMath1476.62266OpenAlexW3047154788MaRDI QIDQ822073

Rengui Bi, Lixiong Cao, Ling Xie, Jie Liu, Chao Jiang

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.07.025

zbMATH Keywords

correlationprincipal component analysiscluster analysisuncertainty quantificationuncertainty propagationpolygonal convex set model

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics in engineering and industry; control charts (62P30)

Related Items (6)

Experimental static data based damage localization of beam-like structures considering axial load ⋮ Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis ⋮ A credible interval analysis method for uncertain structures under nonprobabilistic framework ⋮ Novel bootstrap-based ellipsoidal convex model for non-probabilistic reliability-based design optimization with insufficient input data ⋮ Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters ⋮ Full-Scale Bounds Estimation for the Nonlinear Transient Heat Transfer Problems with Interval Uncertainties

Cites Work

• Unnamed Item
• A new local dimming algorithm based on the simplex method
• Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique
• Minimum-volume enclosing ellipsoids and core sets
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Comparison of dynamic responses of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach.
• Derivation of multi-dimensional ellipsoid convex model for experimental data
• Epistemic uncertainty-based model validation via interval propagation and parameter calibration
• Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions
• A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties
• Parallelotope-formed evidence theory model for quantifying uncertainties with correlation
• Direct probability integral method for stochastic response analysis of static and dynamic structural systems
• A general frame for uncertainty propagation under multimodally distributed random variables
• An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis
• A stochastic dynamic model of train-track-bridge coupled system based on probability density evolution method
• Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials
• Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis
• Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data
• INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS
• Nonprobabilistic, convex-theoretic modeling of scatter in material properties
• A simplex method algorithm using a double basis

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