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Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval

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References

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1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited
2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
1994Structural design under bounded uncertainty—Optimization with anti-optimization235 cited

Cited by

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2017A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method152 cited
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2015Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis133 cited
2009Reliability-based structural optimization with probability and convex set hybrid models123 cited
2014A new interval uncertain optimization method for structures using Chebyshev surrogate models117 cited
2018

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An importance learning method for non-probabilistic reliability analysis and optimization

115 cited

2009Confidence structural robust design and optimization under stiffness and load uncertainties102 cited

2012A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures99 cited

2015An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis98 cited

2008A sequential nonlinear interval number programming method for uncertain structures97 cited

2013A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model94 cited

2012A new reliability analysis method for uncertain structures with random and interval variables93 cited

2015Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data92 cited