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Multiple Linearization Method for Nonlinear Reliability Analysis
12 references·16 citing·37 second hop
Multiple Linearization Method for Nonlinear Reliability Analysis (2001)Multiple Linearization Method for Nonline…New Approximations for SORM: Part 2 (1999)New Approximations for SORM: …New Approximations for SORM: Part 1 (1999)New Approximations for SORM: …Multiple design points in first and second-order reliability (1998)Multiple design points in fir…Structural Reliability Methods (1996)Structural Reliability MethodsRefined second-order reliability analysis (1994)Refined second-order reliabil…New approximations for SORM integrals (1994)New approximations for SORM i…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability (1990)Distribution of Quadratic For…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Application of Structural Systems Reliability Theory (1986)Application of Structural Sys…First-order concepts in system reliability (1982)First-order concepts in syste…Generalized Second Moment Reliability Index (1979)Generalized Second Moment Rel…A novel multiple linearization method for reliability analysis based on evidence theory (2024)A novel multiple linearizatio…SS-MASVM: An advanced technique for assessing failure probability of high-dimensional complex systems using the multi-class adaptive support vector machine (2023)SS-MASVM: An advanced techniq…Interval reliability analysis under the specification of statistical information on the input variables (2017)Interval reliability analysis…FORM reliability analysis using a parallel evolutionary algorithm (2017)FORM reliability analysis usi…Multiple response surfaces method with advanced classification of samples for structural failure function fitting (2016)Multiple response surfaces me…Multidisciplinary reliability design optimization using an enhanced saddlepoint approximation in the framework of sequential optimization and reliability analysis (2016)Multidisciplinary reliability…An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures (2013)An efficient third-moment sad…A method for enhancing computational efficiency in Monte Carlo calculation of failure probabilities by exploiting FORM results (2012)A method for enhancing comput…Dimensionality reduction and visualization of structural reliability problems using polar features (2011)Dimensionality reduction and …Efficient Surrogate Modeling for Reliability Analysis and Design (2010)Efficient Surrogate Modeling …A multi-point univariate decomposition method for structural reliability analysis (2010)A multi-point univariate deco…On Estimating the Reliability of Multiple Failure Region Problems Using Approximate Metamodels (2009)On Estimating the Reliability…An Indicator Response Surface Method for Simulation-Based Reliability Analysis (2008)An Indicator Response Surface…Advanced response surface method for mechanical reliability analysis (2007)Advanced response surface met…An Efficient Monte Carlo Reliability Analysis Using Global and Local Metamodels (2006)An Efficient Monte Carlo Reli…A univariate decomposition method for higher-order reliability analysis and design optimization (2006)A univariate decomposition me…Methods of structural safety (1987)First excursion probabilities for linear systems by very efficient importance sampling (2001)Important sampling in high dimensions (2002)Methods of structural safety (2006)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Non-Normal Dependent Vectors in Structural Safety (1981)New light on first- and second-order reliability methods (1987)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)Exact and Invariant Second-Moment Code Format (1974)Decomposition methods for structural reliability analysis (2005)A single-loop method for reliability-based design optimisation (2007)Evaluation of failure probability via surrogate models (2010)Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)Safety index calculation using intervening variables for structural reliability analysis (1996)Second-order reliability methods: a review and comparative study (2021)Importance sampling in structural systems (1989)Optimization algorithms for structural reliability (1991)Application of subset simulation methods to reliability benchmark problems (2006)A comparative study of uncertainty propagation methods for black-box-type problems (2008)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)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)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)Sensitivity and importance measures in structural reliability (1986)First Order Saddlepoint Approximation for Reliability Analysis (2004)Analysis of structural reliability under parameter uncertainties (2008)Monte Carlo techniques in computational stochastic mechanics (1998)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)Efficient Algorithm for Second‐Order Reliability Analysis (1991)A response surface method based on weighted regression for structural reliability analysis (2004)
this work references cited by second hop

References

  • 1996Structural Reliability Methods2,192 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1982First-order concepts in system reliability522 cited
  • 1986Application of Structural Systems Reliability Theory520 cited
  • 1998Multiple design points in first and second-order reliability385 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
  • 1979Generalized Second Moment Reliability Index235 cited
  • 1994Refined second-order reliability analysis165 cited
  • 1994New approximations for SORM integrals140 cited
  • 1999New Approximations for SORM: Part 1108 cited
  • 1999New Approximations for SORM: Part 264 cited

Cited by

  • 2013An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures40 cited
  • 2008An Indicator Response Surface Method for Simulation-Based Reliability Analysis29 cited
  • 2023SS-MASVM: An advanced technique for assessing failure probability of high-dimensional complex systems using the multi-class adaptive support vector machine

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28 cited
  • 2011Dimensionality reduction and visualization of structural reliability problems using polar features26 cited
  • 2016Multiple response surfaces method with advanced classification of samples for structural failure function fitting24 cited
  • 2009On Estimating the Reliability of Multiple Failure Region Problems Using Approximate Metamodels23 cited
  • 2017FORM reliability analysis using a parallel evolutionary algorithm23 cited
  • 2006A univariate decomposition method for higher-order reliability analysis and design optimization23 cited
  • 2010Efficient Surrogate Modeling for Reliability Analysis and Design22 cited
  • 2017Interval reliability analysis under the specification of statistical information on the input variables20 cited
  • 2016Multidisciplinary reliability design optimization using an enhanced saddlepoint approximation in the framework of sequential optimization and reliability analysis19 cited
  • 2012A method for enhancing computational efficiency in Monte Carlo calculation of failure probabilities by exploiting FORM results18 cited
  • 2006An Efficient Monte Carlo Reliability Analysis Using Global and Local Metamodels18 cited
  • 2024A novel multiple linearization method for reliability analysis based on evidence theory16 cited
  • 2010A multi-point univariate decomposition method for structural reliability analysis16 cited
  • 2007Advanced response surface method for mechanical reliability analysis15 cited