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Accuracy improvement of the most probable point‐based dimension reduction method using the hessian matrix
16 references·3 citing·34 second hop
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RBDO using the stochastic sensitivity analysis and Dynamic Kriging method (2011)A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)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)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Structural reliability under combined random load sequences (1978)Second‐Order Reliability Approximations (1987)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)Structural Reliability Methods (1996)Reliability analysis—a review and some perspectives (2001)Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables (2011)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)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)A Second-Order Reliability Method With First-Order Efficiency (2010)A new approach for reliability analysis with time-variant performance characteristics (2013)A new bivariate dimension reduction method for efficient structural reliability analysis (2018)Estimation of small failure probabilities in high dimensions by subset simulation (2001)
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References

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  • 2006Methods of structural safety1,835 cited
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69 cited
  • 2011A comparative study of probability estimation methods for reliability analysis61 cited
  • 2004Reliability Analysis Using Parabolic Failure Surface Approximation46 cited
  • Cited by

    • 2020Hybrid FORM-Sampling simulation method for finding design point and importance vector in structural reliability14 cited
    • 2022A New Framework for Efficient Sequential Sampling-Based RBDO Using Space Mapping12 cited
    • 2019Determination of sample size for input variables in RBDO through bi-objective confidence-based design optimization under input model uncertainty12 cited