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

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Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006, methodology): “Two examples are presented to illustrate the computational aspects of the vertex solution theorem and show that the accuracy of the vertex solution theorem is similar to that of the interval perturbation method proposed by Qiu (2003), Qiu et al. (1995, 1996a,b), and Qiu and Wang (2003).”
A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, background): “In particular, the intervalmodel has attracted much attention recently in the optimization of structures [11–14].”
A novel shape function approach of dynamic load identification for the structures with interval uncertainty (2016, background): “(17), the interval of the unknown load vector pðnÞ caused by the uncertain parameter vector n can be calculated by the natural interval extension (Qiu 2003; Qiu and Wang 2005) towards Eq.”
Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “So far, many methods [2,3] can be applied to model various uncertainties in a board range of applications, including the probabilistic method [2], fuzzy-set method [4], and convex models [5–7].”