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Third-Moment Standardization for Structural Reliability Analysis
16 references·16 citing·28 second hopsampled
Third-Moment Standardization for Structural Reliability Analysis (2000)Third-Moment Standardization for Structur…Methods of structural safety (2006)Methods of structural safetyNew Approximations for SORM: Part 1 (1999)New Approximations for SORM: …Refined second-order reliability analysis (1994)Refined second-order reliabil…A sequential response surface method and its application in the reliability analysis of aircraft structural systems (1994)A sequential response surface…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Efficient Algorithm for Second‐Order Reliability Analysis (1991)Efficient Algorithm for Secon…Radial Importance Sampling for Structural Reliability (1990)Radial Importance Sampling fo…Measures of Structural Safety Under Imperfect States of Knowledge (1989)Measures of Structural Safety…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Basic Analysis of Structural Safety (1983)Basic Analysis of Structural …Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Generalized Second Moment Reliability Index (1979)Generalized Second Moment Rel…Probability Concepts in Engineering Planning and Design (1975)Probability Concepts in Engin…Reliability Bases of Structural Safety and Design (1974)Reliability Bases of Structur…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…An improved fourth-order moment reliability method for strongly skewed distributions (2020)An improved fourth-order mome…Efficient evaluation of structural reliability under imperfect knowledge about probability distributions (2018)Efficient evaluation of struc…Structural reliability analysis with fuzzy random variables using error principle (2017)Structural reliability analys…Structural Reliability Analysis Including Correlated Random Variables Based on Third-Moment Transformation (2017)Structural Reliability Analys…Reliability Analysis by Combining Higher-Order Unscented Transformation and Fourth-Moment Method (2017)Reliability Analysis by Combi…Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation (2017)Evaluation of Moments of Perf…Complete monotonic expression of the fourth-moment normal transformation for structural reliability (2017)Complete monotonic expression…Structural reliability calculation method based on the dual neural network and direct integration method (2016)Structural reliability calcul…Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization (2014)Extended Monte Carlo Simulati…An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures (2013)An efficient third-moment sad…Applying Method of Moments to Model Reliability of Pavements Infrastructure (2006)Applying Method of Moments to…A Simple Third-Moment Method for Structural Reliability (2006)A Simple Third-Moment Method …Robust Reliability Design of Banjo Flange With Arbitrary Distribution Parameters (2005)Robust Reliability Design of …An approach of robust reliability design for mechanical components (2005)An approach of robust reliabi…Investigation of polynomial normal transform (2003)Investigation of polynomial n…A THREE-PARAMETER DISTRIBUTION USED FOR STRUCTURAL RELIABILITY EVALUATION (2001)A THREE-PARAMETER DISTRIBUTIO…Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Structural Reliability Analysis and Prediction (2017)Structural reliability under combined random load sequences (1978)First- and Second-Order Reliability Methods (2004)Active learning for structural reliability: Survey, general framework and benchmark (2022)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Narrow Reliability Bounds for Structural Systems (1979)Optimal Discretization of Random Fields (1993)Structural Reliability Methods (1996)Error and uncertainty in modeling and simulation (2002)Measuring vulnerability to natural hazards: towards disaster resilient societies (2007)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)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)A critical appraisal of methods to determine failure probabilities (1987)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)The equivalent extreme-value event and evaluation of the structural system reliability (2006)Sensitivity and importance measures in structural reliability (1986)First Order Saddlepoint Approximation for Reliability Analysis (2004)Analysis of structural reliability under parameter uncertainties (2008)The stochastic finite element method in structural reliability (1987)
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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1975Probability Concepts in Engineering Planning and Design2,575 cited
  • 2006Methods of structural safety1,835 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 1983Basic Analysis of Structural Safety530 cited
  • 1991Efficient Algorithm for Second‐Order Reliability Analysis293 cited
  • 1979Generalized Second Moment Reliability Index235 cited
  • 1974Reliability Bases of Structural Safety and Design218 cited
  • 1989Measures of Structural Safety Under Imperfect States of Knowledge181 cited
  • 1994Refined second-order reliability analysis165 cited
  • 1990Radial Importance Sampling for Structural Reliability146 cited
  • 1994A sequential response surface method and its application in the reliability analysis of aircraft structural systems114 cited
  • 1999New Approximations for SORM: Part 1

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108 cited

Cited by

  • 2003Investigation of polynomial normal transform73 cited
  • 2017Complete monotonic expression of the fourth-moment normal transformation for structural reliability71 cited
  • 2014Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization68 cited
  • 2017Structural Reliability Analysis Including Correlated Random Variables Based on Third-Moment Transformation47 cited
  • 2006Applying Method of Moments to Model Reliability of Pavements Infrastructure46 cited
  • 2017Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation42 cited
  • 2013An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures40 cited
  • 2006A Simple Third-Moment Method for Structural Reliability37 cited
  • 2016Structural reliability calculation method based on the dual neural network and direct integration method37 cited
  • 2017Structural reliability analysis with fuzzy random variables using error principle36 cited
  • 2017Reliability Analysis by Combining Higher-Order Unscented Transformation and Fourth-Moment Method32 cited
  • 2005Robust Reliability Design of Banjo Flange With Arbitrary Distribution Parameters29 cited
  • 2005An approach of robust reliability design for mechanical components29 cited
  • 2018Efficient evaluation of structural reliability under imperfect knowledge about probability distributions24 cited
  • 2020An improved fourth-order moment reliability method for strongly skewed distributions23 cited
  • 2001A THREE-PARAMETER DISTRIBUTION USED FOR STRUCTURAL RELIABILITY EVALUATION22 cited