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A new interval uncertain optimization method for structures using Chebyshev surrogate models
16 references·16 citing·37 second hopsampled
A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new interval uncertain optimization met…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…A survey on approaches for reliability-based optimization (2010)A survey on approaches for re…Reliability-based structural optimization with probability and convex set hybrid models (2009)Reliability-based structural …Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…Adaptive explicit decision functions for probabilistic design and optimization using support vector machines (2008)Adaptive explicit decision fu…Robust optimization – A comprehensive survey (2007)Robust optimization – A compr…Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Optimization of structures wi…Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Engineering computation under…Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…Robust design of structures using optimization methods (2004)Robust design of structures u…An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)An Integrated Framework for O…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Uncertainty in Mechanics Prob…Uncertainty Analysis of Transport-Transformation Models (1999)Uncertainty Analysis of Trans…Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Response Surface Methodology:…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters (2022)Surrogate modeling for dynami…An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion (2021)An efficient nonlinear interv…A bivariate Chebyshev polynomials method for nonlinear dynamic systems with interval uncertainties (2021)A bivariate Chebyshev polynom…Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method (2020)Uncertain Frequency Responses…Interval K-L expansion of interval process model for dynamic uncertainty analysis (2020)Interval K-L expansion of int…Some significant improvements for interval process model and non-random vibration analysis method (2019)Some significant improvements…Response analysis of an accelerating unbalanced rotating system with both random and interval variables (2019)Response analysis of an accel…Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model (2019)Non-probabilistic uncertainty…Interval optimization for structural dynamic responses of an artillery system under uncertainty (2019)Interval optimization for str…Dynamic reliability analysis using the extended support vector regression (X-SVR) (2019)Dynamic reliability analysis …Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method (2018)Steady-state response analysi…Discussions on non-probabilistic convex modelling for uncertain problems (2018)Discussions on non-probabilis…Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty (2017)Sparse regression Chebyshev p…A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters (2017)A subinterval decomposition a…A new hybrid uncertainty optimization method for structures using orthogonal series expansion (2017)A new hybrid uncertainty opti…Robust optimization of uncertain structures based on normalized violation degree of interval constraint (2016)Robust optimization of uncert…Fuzzy sets (1965)A mathematical theory of evidence (1977)Fuzzy sets (1996)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)A Stochastic Approximation Method (1951)Design and Analysis of Computer Experiments (1989)Robust possibilistic programming for socially responsible supply chain network design: A new approach (2012)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A new uncertain analysis method and its application in vehicle dynamics (2014)A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis (2018)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Chance-Constrained Programming (1959)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Statistics for Experimenters (1979)Design and Analysis of Experiments (1998)Modeling and optimization I: Usability of response surface methodology (2006)Response surface methodology (2010)Random field finite elements (1986)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)Empirical Model Building and Response Surfaces (1988)Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability (2004)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)Exact and Invariant Second-Moment Code Format (1974)Quality Engineering Using Robust Design (1991)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Structural Reliability Analysis and Prediction (2017)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)
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References

  • 1996Response Surface Methodology: Process and Product Optimization Using Designed Experiments9,540 cited
  • 2007Robust optimization – A comprehensive survey1,603 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 2010A survey on approaches for reliability-based optimization401 cited
  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2004Robust design of structures using optimization methods329 cited
  • 1999Uncertainty Analysis of Transport-Transformation Models329 cited
  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2007Engineering computation under uncertainty – Capabilities of non-traditional models290 cited
  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 2004An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy272 cited
  • 2008Adaptive explicit decision functions for probabilistic design and optimization using support vector machines220 cited

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2007
Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
173 cited
  • 2009Reliability-based structural optimization with probability and convex set hybrid models123 cited
  • Cited by

    • 2019Response analysis of an accelerating unbalanced rotating system with both random and interval variables106 cited
    • 2018Discussions on non-probabilistic convex modelling for uncertain problems99 cited
    • 2019Dynamic reliability analysis using the extended support vector regression (X-SVR)95 cited
    • 2019Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model78 cited
    • 2020Interval K-L expansion of interval process model for dynamic uncertainty analysis53 cited
    • 2018Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method49 cited
    • 2019Some significant improvements for interval process model and non-random vibration analysis method43 cited
    • 2016Robust optimization of uncertain structures based on normalized violation degree of interval constraint43 cited
    • 2017A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters41 cited
    • 2017A new hybrid uncertainty optimization method for structures using orthogonal series expansion39 cited
    • 2020Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method38 cited
    • 2021An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion37 cited
    • 2022Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters33 cited
    • 2021A bivariate Chebyshev polynomials method for nonlinear dynamic systems with interval uncertainties32 cited
    • 2019Interval optimization for structural dynamic responses of an artillery system under uncertainty32 cited
    • 2017Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty30 cited