Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Efficient Shape Optimization Under Uncertainty Using Polynomial Chaos Expansions and Local Sensitivities

16 references·16 citing·46 second hopsampled

FromToDepth

this work references cited by second hop· second hop is a sample of the most-cited connections

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
1997Response Surfaces: Designs and Analyses1,520 cited
1999A New Study on Reliability-Based Design Optimization988 cited
1994Reliability-based optimization in structural engineering550 cited
1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
2005Review of options for structural design sensitivity analysis. Part 1: Linear systems303 cited
2002A comparative study on reliability-index and target-performance-based probabilistic structural design optimization253 cited
2005Structural Sensitivity Analysis and Optimization 2249 cited
1994Inverse Reliability Problem179 cited
2004Reliability-based design optimization using probabilistic sufficiency factor155 cited
1998Reliability-based structural optimization using improved two-point adaptive nonlinear approximations128 cited
1998An inverse reliability method and its application118 cited
2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

105 cited

1997A mixed design approach for probabilistic structural durability100 cited

1987A Reliability-Based Optimal Design Using Advanced First Order Second Moment Method89 cited

Cited by

2017Effective robust design of high lift NLF airfoil under multi-parameter uncertainty42 cited
2010Uncertainty analysis for rolling contact fatigue failure probability of silicon nitride ball bearings40 cited
2006Adaptive reduction of random variables using global sensitivity in reliability-based optimisation38 cited
2009A reduced-order stochastic finite element approach for design optimization under uncertainty34 cited
2017Quantification of Airfoil Geometry-Induced Aerodynamic Uncertainties---Comparison of Approaches33 cited
2021Data-driven robust optimization for minimum nitrogen oxide emission under process uncertainty29 cited
2015Reliability based optimization in aeroelastic stability problems using polynomial chaos based metamodels25 cited
2020On the usefulness of gradient information in surrogate modeling: Application to uncertainty propagation in composite material models24 cited
2005Safety Envelope for Load Tolerance and its Application to Fatigue Reliability Design22 cited
2022Efficient aerodynamic analysis and optimization under uncertainty using multi-fidelity polynomial chaos-Kriging surrogate model20 cited
2022Uncertainty optimization design of airfoil based on adaptive point adding strategy20 cited
2017Variability Analysis of Crosstalk Among Differential Vias Using Polynomial-Chaos and Response Surface Methods19 cited
2022A novel robust aerodynamic optimization technique coupled with adjoint solvers and polynomial chaos expansion16 cited
2009A Metamodeling Approach for Uncertainty Analysis of Nondeterministic Systems15 cited
2011Guided tail modelling for efficient and accurate reliability estimation of highly safe mechanical systems15 cited
2017Robust Airfoil Optimization and the Importance of Appropriately Representing Uncertainty14 cited