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A Closed-Form Second-Order Reliability Method Using Noncentral Chi-Squared Distributions

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References

1974Exact and Invariant Second-Moment Code Format3,138 cited
2006Methods of structural safety1,835 cited
2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
2006Reliability-based Structural Design588 cited
2010A survey on approaches for reliability-based optimization401 cited
1998Multiple design points in first and second-order reliability385 cited
1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
2004Reliability-based design optimization for crashworthiness of vehicle side impact369 cited
2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability313 cited
2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
1994Refined second-order reliability analysis165 cited
1994New approximations for SORM integrals140 cited
2005A univariate approximation at most probable point for higher-order reliability analysis121 cited
1999New Approximations for SORM: Part 1

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108 cited

2012A Novel Second-Order Reliability Method (SORM) Using Noncentral or Generalized Chi-Squared Distributions90 cited

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