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A new hybrid uncertainty optimization method for structures using orthogonal series expansion

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
2007Robust optimization – A comprehensive survey1,603 cited
2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
2003Constructing Probability Boxes and Dempster-Shafer Structures745 cited
1993Optimal Discretization of Random Fields728 cited
2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
2002Reliability-based structural optimization using neural networks and Monte Carlo simulation516 cited
2006Robust Design: An Overview494 cited
2003A new response surface methodology for reliability-based design optimization404 cited
2010A survey on approaches for reliability-based optimization401 cited
2004Robust design of structures using optimization methods329 cited
2004An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy272 cited
2005Reliability-Based Design With the Mixture of Random and Interval Variables247 cited
2007A Single-Loop Approach for System Reliability-Based Design Optimization

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231 cited

2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation192 cited

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