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Adaptation of fast Fourier transformations to estimate structural failure probability
10 references·16 citing·35 second hop
Adaptation of fast Fourier transformations to estimate structural failure probability (2003)Adaptation of fast Fourier transformation…Safety index calculation using intervening variables for structural reliability analysis (1996)Safety index calculation usin…Improved two-point function approximations for design optimization (1995)Improved two-point function a…Refined second-order reliability analysis (1994)Refined second-order reliabil…New approximations for SORM integrals (1994)New approximations for SORM i…Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability (1990)Distribution of Quadratic For…Importance sampling in structural systems (1989)Importance sampling in struct…Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)Improvement Of Second‐Order R…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Probability, statistics, and decision for civil engineers (1970)Probability, statistics, and …First order control variates algorithm for reliability analysis of engineering structures (2019)First order control variates …A new homotopy-based approach for structural stochastic analysis (2018)A new homotopy-based approach…Structural reliability analysis using a hybrid HDMR-ANN method (2017)Structural reliability analys…Post optimization for accurate and efficient reliability‐based design optimization using second‐order reliability method based on importance sampling and its stochastic sensitivity analysis (2015)Post optimization for accurat…Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties (2014)Efficient Assessment of Struc…Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties (2012)Multicut‐High Dimensional Mod…Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform (2012)Inverse structural reliabilit…Confidence Bounds on Design Variables Using High-Dimensional Model Representation–Based Inverse Reliability Analysis (2012)Confidence Bounds on Design V…Reliability analysis of series systems with multiple failure modes under epistemic and aleatory uncertainties (2011)Reliability analysis of serie…System reliability analysis for mixed uncertain variables (2009)System reliability analysis f…Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform (2008)Probabilistic Analysis Using …Gradient projection for reliability-based design optimization using evidence theory (2008)Gradient projection for relia…Confidence bounds on component reliability in the presence of mixed uncertain variables (2007)Confidence bounds on componen…Bounds on structural system reliability in the presence of interval variables (2007)Bounds on structural system r…A univariate decomposition method for higher-order reliability analysis and design optimization (2006)A univariate decomposition me…Uncertainty Propagation Using Possibility Theory and Function Approximations (2003)Uncertainty Propagation Using…Quadratic Limit States in Structural Reliability (1979)Non-Normal Dependent Vectors in Structural Safety (1981)Basic Analysis of Structural Safety (1983)A benchmark study on importance sampling techniques in structural reliability (1993)Important sampling in high dimensions (2002)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Decomposition methods for structural reliability analysis (2005)Methods of structural safety (2006)A single-loop method for reliability-based design optimisation (2007)Evaluation of failure probability via surrogate models (2010)Second‐Order Reliability Approximations (1987)New Approximations for SORM: Part 1 (1999)Second-order reliability methods: a review and comparative study (2021)Structural reliability under combined random load sequences (1978)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)A new adaptive importance sampling scheme for reliability calculations (1999)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Metamodel-based importance sampling for structural reliability analysis (2013)Structural Reliability Analysis and Prediction (2017)Probability Concepts in Engineering Planning and Design (1975)Bayesian reliability-based design optimization using eigenvector dimension reduction (EDR) method (2007)A double-loop adaptive sampling approach for sensitivity-free dynamic reliability analysis (2015)Chaotic conjugate stability transformation method for structural reliability analysis (2016)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)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Higher-order failure probability calculation using nonlinear approximations (1999)Efficient estimation of structural reliability for problems with uncertain intervals (2002)Reliability-based optimization in structural engineering (1994)Stochastic Dynamics of Marine Structures (2012)
this work references cited by second hop

References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1970Probability, statistics, and decision for civil engineers1,880 cited
  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 1989Importance sampling in structural systems604 cited
  • 1988Improvement Of Second‐Order Reliability Estimates by Importance Sampling382 cited
  • 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
  • 1994Refined second-order reliability analysis165 cited
  • 1994New approximations for SORM integrals140 cited
  • 1995Improved two-point function approximations for design optimization124 cited
  • 1996Safety index calculation using intervening variables for structural reliability analysis119 cited

Cited by

  • 2009System reliability analysis for mixed uncertain variables50 cited
  • 2015Post optimization for accurate and efficient reliability‐based design optimization using second‐order reliability method based on importance sampling and its stochastic sensitivity analysis50 cited
  • 2008Gradient projection for reliability-based design optimization using evidence theory50 cited
  • 2019First order control variates algorithm for reliability analysis of engineering structures46 cited

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  • 2008Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform43 cited
  • 2007Confidence bounds on component reliability in the presence of mixed uncertain variables41 cited
  • 2003Uncertainty Propagation Using Possibility Theory and Function Approximations37 cited
  • 2007Bounds on structural system reliability in the presence of interval variables34 cited
  • 2012Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties30 cited
  • 2012Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform25 cited
  • 2014Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties24 cited
  • 2006A univariate decomposition method for higher-order reliability analysis and design optimization23 cited
  • 2017Structural reliability analysis using a hybrid HDMR-ANN method22 cited
  • 2012Confidence Bounds on Design Variables Using High-Dimensional Model Representation–Based Inverse Reliability Analysis16 cited
  • 2011Reliability analysis of series systems with multiple failure modes under epistemic and aleatory uncertainties15 cited
  • 2018A new homotopy-based approach for structural stochastic analysis14 cited