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A method for enhancing computational efficiency in Monte Carlo calculation of failure probabilities by exploiting FORM results
16 references·4 citing·30 second hop
A method for enhancing computational efficiency in Monte Carlo calculation of failure probabilities by exploiting FORM results (2012)A method for enhancing computational effi…Reliability-based Structural Design (2006)Reliability-based Structural …Methods of structural safety (2006)Methods of structural safetyImportant sampling in high dimensions (2002)Important sampling in high di…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A general procedure for first…Structural Reliability Methods (1996)Structural Reliability MethodsOptimization algorithms for structural reliability (1991)Optimization algorithms for s…Efficient Algorithm for Second‐Order Reliability Analysis (1991)Efficient Algorithm for Secon…Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability (1990)Distribution of Quadratic For…Nonlinear Vibration Models for Extremes and Fatigue (1988)Nonlinear Vibration Models fo…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Quadratic Limit States in Structural Reliability (1979)Quadratic Limit States in Str…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Probability, statistics, and decision for civil engineers (1970)Probability, statistics, and …Estimation of Small Failure Probability Based on Adaptive Subset Simulation and Deep Neural Network (2022)Estimation of Small Failure P…Post-buckling reliability analysis of stiffened composite panels based on adaptive iterative sampling (2021)Post-buckling reliability ana…Efficient high-dimensional material reliability analysis with explicit voxel-level stochastic microstructure representation (2020)Efficient high-dimensional ma…Surrogate-model-based reliability method for structural systems with dependent truncated random variables (2017)Surrogate-model-based reliabi…Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Narrow Reliability Bounds for Structural Systems (1979)Non-Normal Dependent Vectors in Structural Safety (1981)Structural Reliability under Incomplete Probability Information (1986)The stochastic finite element method in structural reliability (1987)The stochastic finite element method in structural reliability (1988)Probabilistic Theory of Structural Dynamics (1976)Stochastic averaging: An approximate method of solving random vibration problems (1986)Monte Carlo techniques in computational stochastic mechanics (1998)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic Dynamics of Marine Structures (2012)Probability Concepts in Engineering Planning and Design (1975)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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)System reliability analysis by enhanced Monte Carlo simulation (2009)An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)Time-dependent reliability analysis with joint upcrossing rates (2013)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)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)
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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 1996Structural Reliability Methods2,192 cited
  • 1970Probability, statistics, and decision for civil engineers1,880 cited
  • 2006Methods of structural safety1,835 cited
  • 1991Optimization algorithms for structural reliability644 cited
  • 2006Reliability-based Structural Design588 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1988Nonlinear Vibration Models for Extremes and Fatigue535 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 1979Quadratic Limit States in Structural Reliability388 cited
  • 2002Important sampling in high dimensions375 cited
  • 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
  • 1991Efficient Algorithm for Second‐Order Reliability Analysis

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293 cited

Cited by

  • 2022Estimation of Small Failure Probability Based on Adaptive Subset Simulation and Deep Neural Network14 cited
  • 2017Surrogate-model-based reliability method for structural systems with dependent truncated random variables10 cited
  • 2021Post-buckling reliability analysis of stiffened composite panels based on adaptive iterative sampling9 cited
  • 2020Efficient high-dimensional material reliability analysis with explicit voxel-level stochastic microstructure representation8 cited