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Structural reliability analysis using non-probabilistic convex model
9 references·16 citing·33 second hop
Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analysis using non…Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Correlation analysis of non-p…Two Improved Algorithms for Reliability Analysis (1995)Two Improved Algorithms for R…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…Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability (1990)Distribution of Quadratic For…Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Narrow Reliability Bounds for Structural Systems (1979)Narrow Reliability Bounds for…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Positioning Accuracy Analysis of Industrial Robots Based on Non-Probabilistic Time-Dependent Reliability (2023)Positioning Accuracy Analysis…Interval-based optimal trajectory tracking control method for manipulators with clearance considering time-dependent reliability constraints (2022)Interval-based optimal trajec…Modeling, analysis, and optimization under uncertainties: a review (2021)Modeling, analysis, and optim…Novel probabilistic model for searching most probable point in structural reliability analysis (2020)Novel probabilistic model for…A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers (2020)A novel interval dynamic reli…Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Non-intrusive stochastic anal…Dynamic reliability analysis using the extended support vector regression (X-SVR) (2019)Dynamic reliability analysis …AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)AKOIS: An adaptive Kriging or…New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization (2018)New target performance approa…Discussions on non-probabilistic convex modelling for uncertain problems (2018)Discussions on non-probabilis…An importance learning method for non-probabilistic reliability analysis and optimization (2018)An importance learning method…A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)A novel projection outline ba…A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities (2018)A combined projection-outline…A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method (2017)A novel non-probabilistic rel…Hybrid uncertain static analysis with random and interval fields (2016)Hybrid uncertain static analy…Probability and convex set hybrid reliability analysis based on active learning Kriging model (2014)Probability and convex set hy…Optimization algorithms for structural reliability (1991)First- and Second-Order Reliability Methods (2004)Meta-model-based importance sampling for reliability sensitivity analysis (2014)A new directional stability transformation method of chaos control for first order reliability analysis (2016)Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)Convex Models of Uncertainty in Applied Mechanics (1990)A survey of non-probabilistic uncertainty treatment in finite element analysis (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)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Second‐Order Reliability Approximations (1987)Efficient Algorithm for Second‐Order Reliability Analysis (1991)A response surface method based on weighted regression for structural reliability analysis (2004)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)The stochastic finite element method: basic perturbation technique and computer implementation (1993)Advanced Line Sampling for efficient robust reliability analysis (2014)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Probability, statistics, and decision for civil engineers (1970)Structural Reliability under Incomplete Probability Information (1986)Moment methods for structural reliability (2001)Reliability analysis—a review and some perspectives (2001)Risk, Uncertainty and Profit (1921)Fuzzy sets (1965)Fuzzy sets (1996)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)First-order concepts in system reliability (1982)The stochastic finite element method in structural reliability (1988)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Structural Reliability Methods (1996)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)
this work references cited by second hop

References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 1979Narrow Reliability Bounds for Structural Systems910 cited
  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
  • 2011Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique306 cited
  • 1995Two Improved Algorithms for Reliability Analysis226 cited
  • 1995Discussion on: A non-probabilistic concept of reliability217 cited

Cited by

  • 2021Modeling, analysis, and optimization under uncertainties: a review166 cited
  • 2020A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers156 cited
  • 2018A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables155 cited
  • 2017A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method152 cited
  • 2019AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis

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148 cited
  • 2018A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities144 cited
  • 2018An importance learning method for non-probabilistic reliability analysis and optimization115 cited
  • 2020Novel probabilistic model for searching most probable point in structural reliability analysis112 cited
  • 2014Probability and convex set hybrid reliability analysis based on active learning Kriging model111 cited
  • 2018Discussions on non-probabilistic convex modelling for uncertain problems99 cited
  • 2023Positioning Accuracy Analysis of Industrial Robots Based on Non-Probabilistic Time-Dependent Reliability98 cited
  • 2019Dynamic reliability analysis using the extended support vector regression (X-SVR)95 cited
  • 2022Interval-based optimal trajectory tracking control method for manipulators with clearance considering time-dependent reliability constraints94 cited
  • 2019Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation87 cited
  • 2018New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization87 cited
  • 2016Hybrid uncertain static analysis with random and interval fields83 cited