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Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method
8 references·16 citing·37 second hop
Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analysis based on …Robust design of structures using optimization methods (2004)Robust design of structures u…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Moment methods for structural reliability (2001)Moment methods for structural…General foundations of high‐dimensional model representations (1999)General foundations of high‐d…An efficient point estimate method for probabilistic analysis (1998)An efficient point estimate m…Importance sampling in structural systems (1989)Importance sampling in struct…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Recent Advances in Surrogate …Parallel adaptive Bayesian quadrature for rare event estimation (2022)Parallel adaptive Bayesian qu…Kinematic trajectory accuracy reliability analysis for industrial robots considering intercorrelations among multi-point positioning errors (2022)Kinematic trajectory accuracy…On reliability analysis method through rotational sparse grid nodes (2020)On reliability analysis metho…Kernel principal component analysis-based Gaussian process regression modelling for high-dimensional reliability analysis (2020)Kernel principal component an…REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)REIF: A novel active-learning…An efficient reliability method combining adaptive global metamodel and probability density evolution method (2019)An efficient reliability meth…AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)AKOIS: An adaptive Kriging or…AK-ARBIS: An improved AK-MCS based on the adaptive radial-based importance sampling for small failure probability (2019)AK-ARBIS: An improved AK-MCS …A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis (2019)A novel fractional moments-ba…An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy (2018)An efficient method for momen…Adaptive scaled unscented transformation for highly efficient structural reliability analysis by maximum entropy method (2018)Adaptive scaled unscented tra…A new bivariate dimension reduction method for efficient structural reliability analysis (2018)A new bivariate dimension red…Temporal and spatial multi-parameter dynamic reliability and global reliability sensitivity analysis based on the extreme value moments (2017)Temporal and spatial multi-pa…A sparse grid stochastic collocation method for structural reliability analysis (2014)A sparse grid stochastic coll…An effective approximation for variance-based global sensitivity analysis (2013)An effective approximation fo…A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A survey on approaches for reliability-based optimization (2010)Random field finite elements (1986)On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)A new adaptive importance sampling scheme for reliability calculations (1999)Metamodel-based importance sampling for structural reliability analysis (2013)Structural Reliability Analysis and Prediction (2017)Estimation of small failure probabilities in high dimensions by subset simulation (2001)The Design and Analysis of Computer Experiments (2003)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis (2021)Active learning for structural reliability: Survey, general framework and benchmark (2022)Design and Analysis of Computer Experiments (1989)Structural Reliability Methods (1996)AKSE: A novel adaptive Kriging method combining sampling region scheme and error-based stopping criterion for structural reliability analysis (2021)Efficient structural reliability analysis based on adaptive Bayesian support vector regression (2021)Importance measures in global sensitivity analysis of nonlinear models (1996)Efficient input—output model representations (1999)Sensitivity Analysis for Chemical Models (2005)A new uncertainty importance measure (2006)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)Nataf transformation based point estimate method (2008)Robust design with arbitrary distributions using Gauss-type quadrature formula (2008)A Moment Approach to Positioning Accuracy Reliability Analysis for Industrial Robots (2019)A comparative study of uncertainty propagation methods for black-box-type problems (2008)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)
this work references cited by second hop

References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1999General foundations of high‐dimensional model representations905 cited
  • 2001Moment methods for structural reliability633 cited
  • 1989Importance sampling in structural systems604 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1998An efficient point estimate method for probabilistic analysis508 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2004Robust design of structures using optimization methods329 cited

Cited by

  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2019AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis148 cited
  • 2022Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation143 cited
  • 2019AK-ARBIS: An improved AK-MCS based on the adaptive radial-based importance sampling for small failure probability135 cited
  • 2018A new bivariate dimension reduction method for efficient structural reliability analysis115 cited
  • 2019A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis

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115 cited
  • 2013An effective approximation for variance-based global sensitivity analysis113 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • 2020Kernel principal component analysis-based Gaussian process regression modelling for high-dimensional reliability analysis85 cited
  • 2022Parallel adaptive Bayesian quadrature for rare event estimation83 cited
  • 2017Temporal and spatial multi-parameter dynamic reliability and global reliability sensitivity analysis based on the extreme value moments80 cited
  • 2018An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy76 cited
  • 2020On reliability analysis method through rotational sparse grid nodes75 cited
  • 2018Adaptive scaled unscented transformation for highly efficient structural reliability analysis by maximum entropy method75 cited
  • 2019An efficient reliability method combining adaptive global metamodel and probability density evolution method74 cited
  • 2022Kinematic trajectory accuracy reliability analysis for industrial robots considering intercorrelations among multi-point positioning errors72 cited