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Comparison of static response of structures using convex models and interval analysis method

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References

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1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
1994Nonprobabilistic, convex-theoretic modeling of scatter in material properties131 cited

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2013On robust design optimization of truss structures with bounded uncertainties46 cited
2017The vertex solution theorem and its coupled framework for static analysis of structures with interval parameters46 cited
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2013Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties40 cited
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37 cited

2008Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize36 cited

2005An improved interval analysis method for uncertain structures35 cited

2017An efficient single-loop strategy for reliability-based multidisciplinary design optimization under non-probabilistic set theory34 cited

2004Comparison between non‐probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain‐but‐bounded parameters34 cited

2011RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT31 cited

2004The new nonprobabilistic criterion of failure for dynamical systems based on convex models30 cited

2006Confidence ellipsoids for static response of trusses with load and structural uncertainties28 cited