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The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system
11 references·16 citing·32 second hop
The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system (2010)The interval estimation of reliability fo…Probabilistic interval reliability of structural systems (2008)Probabilistic interval reliab…Non-probabilistic set-theoretic model for structural safety measure (2008)Non-probabilistic set-theoret…The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)The static displacement and t…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Essay on uncertainties in ela…Discussion on: A non-probabilistic concept of reliability (1995)Discussion on: A non-probabil…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…Convex Models of Uncertainty in Radial Pulse Buckling of Shells (1993)Convex Models of Uncertainty …Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Uncertainty-oriented optimal PID control design framework for piezoelectric structures based on subinterval dimension-wise method (SDWM) and non-probabilistic time-dependent reliability (NTDR) analysis (2023)Uncertainty-oriented optimal …A Kriging-assisted sampling method for reliability analysis of structures with hybrid uncertainties (2021)A Kriging-assisted sampling m…A time-variant reliability analysis method for non-linear limit-state functions with the mixture of random and interval variables (2020)A time-variant reliability an…A new hybrid reliability‐based design optimization method under random and interval uncertainties (2020)A new hybrid reliability‐base…Probability and interval hybrid reliability analysis based on adaptive local approximation of projection outlines using support vector machine (2019)Probability and interval hybr…Bounds approximation of limit‐state surface based on active learning Kriging model with truncated candidate region for random‐interval hybrid reliability analysis (2019)Bounds approximation of limit…A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables (2019)A combined Importance Samplin…Extending SORA method for reliability-based design optimization using probability and convex set mixed models (2018)Extending SORA method for rel…Reliability Evaluation of Bridges Based on Nonprobabilistic Response Surface Limit Method (2017)Reliability Evaluation of Bri…Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016)Reliability-based design opti…A Random Field Approach to Reliability Analysis With Random and Interval Variables (2015)A Random Field Approach to Re…A Probabilistic and Interval Hybrid Reliability Analysis Method for Structures with Correlated Uncertain Parameters (2015)A Probabilistic and Interval …Unified response probability distribution analysis of two hybrid uncertain acoustic fields (2014)Unified response probability …A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters (2014)A non-probabilistic robust re…Structural reliability analysis and reliability-based design optimization: Recent advances (2013)Structural reliability analys…Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties (2012)Multicut‐High Dimensional Mod…Application of Structural Systems Reliability Theory (1986)Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Measuring reliability under epistemic uncertainty: Review on non-probabilistic reliability metrics (2016)Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters (2017)Safety and the Probability of Structural Failure (1956)Probability and convex set hybrid reliability analysis based on active learning Kriging model (2014)A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties (2018)A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters (2019)Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Structural reliability analysis using non-probabilistic convex model (2012)Statistical Methods in Structural Mechanics. (1970)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Structural reliability assessment based on probability and convex set mixed model (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Quality Engineering in Production Systems (1990)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Interval Monte Carlo methods for structural reliability (2010)Interval analysis of structures with uncertain-but-bounded axial stiffness (2010)Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters (2013)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)
this work references cited by second hop

References

  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited
  • 1995Discussion on: A non-probabilistic concept of reliability217 cited
  • 2008Probabilistic interval reliability of structural systems149 cited
  • 2007The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem138 cited
  • 2008Non-probabilistic set-theoretic model for structural safety measure128 cited
  • 1993Convex Models of Uncertainty in Radial Pulse Buckling of Shells122 cited

Cited by

  • 2019Probability and interval hybrid reliability analysis based on adaptive local approximation of projection outlines using support vector machine74 cited
  • 2014A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters62 cited

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2016
Reliability-based design optimization under mixture of random, interval and convex uncertainties
59 cited
  • 2023Uncertainty-oriented optimal PID control design framework for piezoelectric structures based on subinterval dimension-wise method (SDWM) and non-probabilistic time-dependent reliability (NTDR) analysis49 cited
  • 2018Extending SORA method for reliability-based design optimization using probability and convex set mixed models46 cited
  • 2019A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables43 cited
  • 2020A new hybrid reliability‐based design optimization method under random and interval uncertainties36 cited
  • 2013Structural reliability analysis and reliability-based design optimization: Recent advances36 cited
  • 2014Unified response probability distribution analysis of two hybrid uncertain acoustic fields34 cited
  • 2015A Probabilistic and Interval Hybrid Reliability Analysis Method for Structures with Correlated Uncertain Parameters34 cited
  • 2017Reliability Evaluation of Bridges Based on Nonprobabilistic Response Surface Limit Method33 cited
  • 2021A Kriging-assisted sampling method for reliability analysis of structures with hybrid uncertainties32 cited
  • 2020A time-variant reliability analysis method for non-linear limit-state functions with the mixture of random and interval variables31 cited
  • 2012Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties30 cited
  • 2019Bounds approximation of limit‐state surface based on active learning Kriging model with truncated candidate region for random‐interval hybrid reliability analysis27 cited
  • 2015A Random Field Approach to Reliability Analysis With Random and Interval Variables26 cited