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Anti-optimization technique – a generalization of interval analysis for nonprobabilistic treatment of uncertainty

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References

1986Design Sensitivity Analysis of Structural Systems1,625 cited
1990Convex Models of Uncertainty in Applied Mechanics838 cited
1994Structural design under bounded uncertainty—Optimization with anti-optimization235 cited
1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
2001Non-Classical Problems in the Theory of Elastic Stability78 cited
1995Natural frequencies of structures with uncertain but nonrandom parameters67 cited
2001Non-Classical Problems in the Theory of Elastic Stability60 cited

Cited by

2015Direct optimization of uncertain structures based on degree of interval constraint violation38 cited
2017Structural optimization oriented time-dependent reliability methodology under static and dynamic uncertainties35 cited
2004The new nonprobabilistic criterion of failure for dynamical systems based on convex models30 cited
2020An ellipsoidal Newton’s iteration method of nonlinear structural systems with uncertain-but-bounded parameters27 cited
2007Combination of structural reliability and interval analysis26 cited
2007Exact bounds for the sensitivity analysis of structures with uncertain-but-bounded parameters21 cited
2018A surrogate model based nested optimization framework for inverse problem considering interval uncertainty

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21 cited

2011Uncertain analysis of vehicle handling using interval method21 cited

2017A non‐probabilistic reliability‐based design optimization method for structures based on interval models18 cited

2017Structural robust optimization design based on convex model15 cited

2011Comparison of two non-probabilistic approaches for the energy flow uncertainty in structural vibrating system11 cited

2017Composite laminate oriented reliability analysis for fatigue life under non-probabilistic time-dependent method11 cited