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Efficient reliability analysis of structures with the rotational quasi-symmetric point- and the maximum entropy methods
16 references·16 citing·34 second hopsampled
Efficient reliability analysis of structures with the rotational quasi-symmetric point- and the maximum entropy methods (2017)Efficient reliability analysis of structu…A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…Advanced Line Sampling for efficient robust reliability analysis (2014)Advanced Line Sampling for ef…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Asymptotic sampling for high-dimensional reliability analysis (2009)Asymptotic sampling for high-…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …Methods of structural safety (2006)Methods of structural safetyApplication of kriging method to structural reliability problems (2004)Application of kriging method…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…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction (2023)A novel maximum entropy metho…A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes (2023)A loading contribution degree…An efficient multi-objective reliability-based design optimization method for structure based on probability and interval hybrid model (2022)An efficient multi-objective …A single-loop time-variant reliability evaluation via a decoupling strategy and probability distribution reconstruction (2022)A single-loop time-variant re…Reliability computation via a transformed mixed-degree cubature rule and maximum entropy (2021)Reliability computation via a…Physical synthesis method for global reliability analysis of engineering structures (2020)Physical synthesis method for…An improved adaptive bivariate dimension-reduction method for efficient statistical moment and reliability evaluations (2020)An improved adaptive bivariat…A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion (2020)A novel approach for reliabil…Estimation of small failure probabilities based on thermodynamic integration and parallel tempering (2019)Estimation of small failure p…Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower (2019)Dimension-reduced probabilist…A novel structural reliability analysis method via improved maximum entropy method based on nonlinear mapping and sparse grid numerical integration (2019)A novel structural reliabilit…A new uncertainty propagation method considering multimodal probability density functions (2019)A new uncertainty propagation…Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures (2018)Random function representatio…An efficient approach for high-dimensional structural reliability analysis (2018)An efficient approach for hig…An adaptive cubature formula for efficient reliability assessment of nonlinear structural dynamic systems (2017)An adaptive cubature formula …A new unequal-weighted sampling method for efficient reliability analysis (2017)A new unequal-weighted sampli…Exact and Invariant Second-Moment Code Format (1974)A fast and efficient response surface approach for structural reliability problems (1990)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Response Surface Methodology (1996)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Structural Reliability Analysis and Prediction (2017)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)On the Experimental Attainment of Optimum Conditions (1951)On the Experimental Attainment of Optimum Conditions (1992)Metamodel-based importance sampling for structural reliability analysis (2013)Support vector machine in structural reliability analysis: A 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)Structural Reliability Methods (1996)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (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)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)
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References

  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2006Methods of structural safety1,835 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2001Moment methods for structural reliability633 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited

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2014
Advanced Line Sampling for efficient robust reliability analysis
212 cited
  • 2009Asymptotic sampling for high-dimensional reliability analysis153 cited
  • Cited by

    • 2018An efficient approach for high-dimensional structural reliability analysis53 cited
    • 2022An efficient multi-objective reliability-based design optimization method for structure based on probability and interval hybrid model52 cited
    • 2018Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures46 cited
    • 2017A new unequal-weighted sampling method for efficient reliability analysis45 cited
    • 2019A novel structural reliability analysis method via improved maximum entropy method based on nonlinear mapping and sparse grid numerical integration41 cited
    • 2020An improved adaptive bivariate dimension-reduction method for efficient statistical moment and reliability evaluations37 cited
    • 2019Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower31 cited
    • 2019A new uncertainty propagation method considering multimodal probability density functions31 cited
    • 2020Physical synthesis method for global reliability analysis of engineering structures30 cited
    • 2022A single-loop time-variant reliability evaluation via a decoupling strategy and probability distribution reconstruction30 cited
    • 2023A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes28 cited
    • 2019Estimation of small failure probabilities based on thermodynamic integration and parallel tempering28 cited
    • 2020A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion27 cited
    • 2021Reliability computation via a transformed mixed-degree cubature rule and maximum entropy25 cited
    • 2017An adaptive cubature formula for efficient reliability assessment of nonlinear structural dynamic systems22 cited
    • 2023A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction22 cited