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First-Order and Second-Order Reliability Methods
16 references·10 citing·22 second hop
First-Order and Second-Order Reliability Methods (1995)First-Order and Second-Order Reliability …Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Methods of structural safety (2006)Methods of structural safetyDistribution of Quadratic Forms in Normal Space—Application to Structural Reliability (1990)Distribution of Quadratic For…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…New light on first- and second-order reliability methods (1987)New light on first- and secon…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Basic Analysis of Structural Safety (1983)Basic Analysis of Structural …Structural Reliability Theory and Its Applications (1982)Structural Reliability Theory…Quadratic Limit States in Structural Reliability (1979)Quadratic Limit States in Str…Narrow Reliability Bounds for Structural Systems (1979)Narrow Reliability Bounds for…Generalized Second Moment Reliability Index (1979)Generalized Second Moment Rel…Structural reliability under combined random load sequences (1978)Structural reliability under …Probability Concepts in Engineering Planning and Design (1975)Probability Concepts in Engin…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…A probability-based structural code. (1969)A probability-based structura…An active learning method using deep adversarial autoencoder-based sufficient dimension reduction neural network for high-dimensional reliability analysis (2024)An active learning method usi…Contribution to efficient structural safety assessments: A comparative analysis of computational schemes (2022)Contribution to efficient str…Structural reliability software and calculation tools: a review (2020)Structural reliability softwa…Reliability based and robust design optimization of truss and composite plate using particle swarm optimization (2020)Reliability based and robust …A reliability-based optimization method using sequential surrogate model and Monte Carlo simulation (2018)A reliability-based optimizat…Conceptual Remote Sensing Satellite Design Optimization under uncertainty (2016)Conceptual Remote Sensing Sat…New Approach for System Reliability-Based Design Optimization (2006)New Approach for System Relia…A New Approach for System Reliability-Based Design Optimization (2005)A New Approach for System Rel…Reliability-Based Structural Optimization of an Elastic-Plastic Beam (2003)Reliability-Based Structural …Reliability of reinforced concrete structures using stochastic finite elements (2002)Reliability of reinforced con…Non-Normal Dependent Vectors in Structural Safety (1981)The stochastic finite element method in structural reliability (1987)The stochastic finite element method in structural reliability (1988)Probability, statistics, and decision for civil engineers (1970)Moment methods for structural reliability (2001)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Structural Reliability Methods (1996)Error and uncertainty in modeling and simulation (2002)Measuring vulnerability to natural hazards: towards disaster resilient societies (2007)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)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)Optimal Discretization of Random Fields (1993)A new response surface methodology for reliability-based design optimization (2003)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Reliability-based design optimization for crashworthiness of vehicle side impact (2004)
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References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1975Probability Concepts in Engineering Planning and Design2,575 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2006Methods of structural safety1,835 cited
  • 1979Narrow Reliability Bounds for Structural Systems910 cited
  • 1982Structural Reliability Theory and Its Applications908 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1983Basic Analysis of Structural Safety530 cited
  • 1988Neumann Expansion for Stochastic Finite Element Analysis496 cited
  • 1969A probability-based structural code.406 cited
  • 1979Quadratic Limit States in Structural Reliability388 cited
  • 1987New light on first- and second-order reliability methods377 cited
  • 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
  • 1979Generalized Second Moment Reliability Index

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235 cited

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  • 2024An active learning method using deep adversarial autoencoder-based sufficient dimension reduction neural network for high-dimensional reliability analysis32 cited
  • 2020Reliability based and robust design optimization of truss and composite plate using particle swarm optimization27 cited
  • 2002Reliability of reinforced concrete structures using stochastic finite elements23 cited
  • 2016Conceptual Remote Sensing Satellite Design Optimization under uncertainty18 cited
  • 2022Contribution to efficient structural safety assessments: A comparative analysis of computational schemes14 cited
  • 2003Reliability-Based Structural Optimization of an Elastic-Plastic Beam13 cited