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HLRF–BFGS optimization algorithm for structural reliability
14 references·16 citing·36 second hop
HLRF–BFGS optimization algorithm for structural reliability (2014)HLRF–BFGS optimization algorithm for stru…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Reliability-based structural optimization with probability and convex set hybrid models (2009)Reliability-based structural …Non-probabilistic set-theoretic model for structural safety measure (2008)Non-probabilistic set-theoret…Adaptive radial-based importance sampling method for structural reliability (2007)Adaptive radial-based importa…Optimum step length selection rule in modified HL–RF method for structural reliability (2006)Optimum step length selection…Structural Reliability — Analysis and Prediction (2001)Structural Reliability — Anal…Probability, Reliability and Statistical Methods in Engineering Design (2001)Probability, Reliability and …Probability, reliability and statistical methods in engineering design (1999)Probability, reliability and …Safety index calculation using intervening variables for structural reliability analysis (1996)Safety index calculation usin…A non-probabilistic measure of reliability of linear systems based on expansion of convex models (1995)A non-probabilistic measure o…Optimization algorithms for structural reliability (1991)Optimization algorithms for s…Principle of Normal Tail Approximation (1981)Principle of Normal Tail Appr…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Portfolio allocation strategy for active learning Kriging-based structural reliability analysis (2023)Portfolio allocation strategy…Sensitivity analysis of design parameters for reliability assessment of offshore wind turbine jacket support structures (2022)Sensitivity analysis of desig…A novel surrogate-model based active learning method for structural reliability analysis (2022)A novel surrogate-model based…A confidence-based reliability optimization with single loop strategy and second-order reliability method (2020)A confidence-based reliabilit…A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization (2020)A Broyden–Fletcher–Goldfarb–S…Three-term conjugate approach for structural reliability analysis (2019)Three-term conjugate approach…A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search (2019)A Novel Algorithm for Structu…Improvement in first-order reliability method using an adaptive chaos control factor (2018)Improvement in first-order re…Establishment of non-negative constraint method as a robust and efficient first-order reliability method (2018)Establishment of non-negative…Enhanced sequential approximate programming using second order reliability method for accurate and efficient structural reliability-based design optimization (2018)Enhanced sequential approxima…A new effective approach for computation of reliability index in nonlinear problems of reliability analysis (2018)A new effective approach for …FORM reliability analysis using a parallel evolutionary algorithm (2017)FORM reliability analysis usi…Enriched self-adjusted performance measure approach for reliability-based design optimization of complex engineering problems (2017)Enriched self-adjusted perfor…Adaptive stability transformation method of chaos control for first order reliability method (2017)Adaptive stability transforma…A robust approximation method for nonlinear cases of structural reliability analysis (2017)A robust approximation method…A hybrid self-adjusted mean value method for reliability-based design optimization using sufficient descent condition (2016)A hybrid self-adjusted mean v…Safety and the Probability of Structural Failure (1956)Convex Models of Uncertainty in Applied Mechanics (1990)A non-probabilistic concept of reliability (1994)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)Reliability-based optimization in structural engineering (1994)A new adaptive importance sampling scheme for reliability calculations (1999)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Methods of structural safety (2006)Structural Reliability Methods (1996)A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)Quality Engineering in Production Systems (1990)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)An importance learning method for non-probabilistic reliability analysis and optimization (2018)Structural Reliability under Incomplete Probability Information (1986)Second‐Order Reliability Approximations (1987)Importance sampling in structural systems (1989)Efficient sampling methods for global reliability sensitivity analysis (2012)AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)AK-ARBIS: An improved AK-MCS based on the adaptive radial-based importance sampling for small failure probability (2019)Narrow Reliability Bounds for Structural Systems (1979)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)Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design (2005)Adaptive Designs of Experiments for Accurate Approximation of a Target Region (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Dimension reduction method for reliability-based robust design optimization (2007)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)Quantitative model validation techniques: New insights (2012)Verification, validation, and predictive capability in computational engineering and physics (2004)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 1999Probability, reliability and statistical methods in engineering design1,377 cited
  • 1991Optimization algorithms for structural reliability644 cited
  • 2001Structural Reliability — Analysis and Prediction623 cited
  • 2001Probability, Reliability and Statistical Methods in Engineering Design348 cited
  • 2007Adaptive radial-based importance sampling method for structural reliability182 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 1995A non-probabilistic measure of reliability of linear systems based on expansion of convex models163 cited
  • 2008Non-probabilistic set-theoretic model for structural safety measure128 cited
  • 2009Reliability-based structural optimization with probability and convex set hybrid models123 cited
  • 1996Safety index calculation using intervening variables for structural reliability analysis119 cited
  • 1981Principle of Normal Tail Approximation117 cited
  • 2006Optimum step length selection rule in modified HL–RF method for structural reliability90 cited

Cited by

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2022
A novel surrogate-model based active learning method for structural reliability analysis
78 cited
  • 2019Three-term conjugate approach for structural reliability analysis62 cited
  • 2020A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization58 cited
  • 2017Enriched self-adjusted performance measure approach for reliability-based design optimization of complex engineering problems57 cited
  • 2016A hybrid self-adjusted mean value method for reliability-based design optimization using sufficient descent condition56 cited
  • 2020A confidence-based reliability optimization with single loop strategy and second-order reliability method47 cited
  • 2018Enhanced sequential approximate programming using second order reliability method for accurate and efficient structural reliability-based design optimization46 cited
  • 2017A robust approximation method for nonlinear cases of structural reliability analysis45 cited
  • 2017Adaptive stability transformation method of chaos control for first order reliability method44 cited
  • 2023Portfolio allocation strategy for active learning Kriging-based structural reliability analysis37 cited
  • 2018Improvement in first-order reliability method using an adaptive chaos control factor34 cited
  • 2018Establishment of non-negative constraint method as a robust and efficient first-order reliability method31 cited
  • 2022Sensitivity analysis of design parameters for reliability assessment of offshore wind turbine jacket support structures25 cited
  • 2019A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search24 cited
  • 2018A new effective approach for computation of reliability index in nonlinear problems of reliability analysis23 cited
  • 2017FORM reliability analysis using a parallel evolutionary algorithm23 cited