Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model
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Jie Liu | Dequan Zhang | Xu Han | Heng Ouyang | Bingyu Ni | Guirong Liu | Jie Liu | Xu-hao Han | Dequan Zhang | B. Ni | Guirong Liu | Heng Ouyang
[1] Jie Liu,et al. Time-Variant Reliability Analysis through Response Surface Method , 2017 .
[2] Z. Kang,et al. Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model , 2009 .
[3] Chao Fu,et al. An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty , 2018, Mechanical Systems and Signal Processing.
[4] C. Jiang,et al. Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique , 2011 .
[5] I. Vályi,et al. Ellipsoidal techniques for dynamic systems: Control synthesis for uncertain systems , 1992 .
[6] Chao Jiang,et al. Interval arithmetic operations for uncertainty analysis with correlated interval variables , 2016 .
[7] Asgeir Tomasgard,et al. Nonlinear stochastic programming-With a case study in continuous switching , 2016, Eur. J. Oper. Res..
[8] Zhiping Qiu. Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures , 2005 .
[9] Leonid Khachiyan,et al. Rounding of Polytopes in the Real Number Model of Computation , 1996, Math. Oper. Res..
[10] Dejie Yu,et al. Dynamic load identification for stochastic structures based on Gegenbauer polynomial approximation and regularization method , 2015 .
[11] Hong-Zhong Huang,et al. Bayesian reliability analysis for fuzzy lifetime data , 2006, Fuzzy Sets Syst..
[12] Frédéric Jenson,et al. Quantifying uncertainty in parameter estimates of ultrasonic inspection system using Bayesian computational framework , 2018 .
[13] Ozgur Kisi,et al. M5 model tree and Monte Carlo simulation for efficient structural reliability analysis , 2017 .
[14] Jie Liu,et al. Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis , 2015 .
[15] I. Elishakoff,et al. Derivation of multi-dimensional ellipsoidal convex model for experimental data , 1996 .
[16] Yanping Wang,et al. An efficient method based on Bayes’ theorem to estimate the failure-probability-based sensitivity measure , 2019, Mechanical Systems and Signal Processing.
[17] David Moens,et al. A survey of non-probabilistic uncertainty treatment in finite element analysis , 2005 .
[18] Xu Han,et al. An interval inverse method based on high dimensional model representation and affine arithmetic , 2018, Applied Mathematical Modelling.
[19] A. Sofi,et al. Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters , 2013 .
[20] I. Elishakoff,et al. Novel parameterized intervals may lead to sharp bounds , 2012 .
[21] Jun Li,et al. Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures , 2019, Mechanical Systems and Signal Processing.
[22] B. Y. Ni,et al. An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis , 2016 .
[23] Zhongmin Deng,et al. Interval model updating using perturbation method and Radial Basis Function neural networks , 2017 .
[24] I. Elishakoff,et al. Static response bounds of Timoshenko beams with spatially varying interval uncertainties , 2015 .
[25] R. Baker Kearfott,et al. Introduction to Interval Analysis , 2009 .
[26] J. Stolfi,et al. An Introduction to Affine Arithmetic , 2003 .
[27] X. Y. Long,et al. A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters , 2018 .
[28] Shing-Chung Ngan,et al. A unified representation of intuitionistic fuzzy sets, hesitant fuzzy sets and generalized hesitant fuzzy sets based on their u-maps , 2017, Expert Syst. Appl..
[29] Zhenzhou Lu,et al. An innovative estimation of failure probability function based on conditional probability of parameter interval and augmented failure probability , 2019 .
[30] Xu Han,et al. A new measurement for structural uncertainty propagation based on pseudo-probability distribution , 2018, Applied Mathematical Modelling.
[31] Jie Liu,et al. An efficient evidence-based reliability analysis method via piecewise hyperplane approximation of limit state function , 2018 .
[32] Su-huan Chen,et al. Dynamic response analysis for structures with interval parameters , 2002 .
[33] Z. Qiu,et al. Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis , 2005 .
[34] Sigrid Leyendecker,et al. Fuzzy uncertainty in forward dynamics simulation , 2019 .
[35] Z. Kang,et al. Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models , 2009 .
[36] Chao Jiang,et al. Parallelotope-formed evidence theory model for quantifying uncertainties with correlation , 2020 .
[37] Yunlong Li,et al. A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties , 2019, Mechanical Systems and Signal Processing.
[38] G. Roeck,et al. Improving interval analysis in finite element calculations by means of affine arithmetic , 2010 .
[39] Z. Qiu,et al. Non-probabilistic interval analysis method for dynamic response analysis of nonlinear systems with uncertainty , 2009 .
[40] Z. L. Huang,et al. Discussions on non-probabilistic convex modelling for uncertain problems , 2018, Applied Mathematical Modelling.
[41] Kohei Fujita,et al. An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion , 2011 .
[42] Jie Liu,et al. Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis , 2020, Journal of Mechanical Design.
[43] Xu Guo,et al. Confidence extremal structural response analysis of truss structures under static load uncertainty via SDP relaxation , 2009 .
[44] Jie Liu,et al. Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions , 2018, Computer Methods in Applied Mechanics and Engineering.
[45] J. Sinou,et al. Non-linear vibrations of a beam with non-ideal boundary conditions and uncertainties – Modeling, numerical simulations and experiments , 2018, Mechanical Systems and Signal Processing.