Interval finite element method for beam structures

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Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011, methodology): “Combined with interval operations, antioptimization method [25], perturbation method [26,27], convex method [28,29], Monte-Carlo simulation method [30], interval finite element method [31,32] and affine arithmetic [33] have been adopted to analyze structures with interval parameters.”
Interval optimization of dynamic response for structures with interval parameters (2004, methodology): “Recently, the interval analysis method has been used to deal with the static displacement, eigenvalue, and dynamic response analysis of the uncertain structures with interval parameters [6,7,11].”
Interval Finite Element Analysis using Interval Factor Method (2007, methodology): “Recently, Chen et al. [ 2 , 3] and Qiu et al. [12] have investigated the static responses, eigenvalue problems and dynamic responses of structures with uncertain parameters by using the interval perturbation method (IPM).”
Interval static displacement analysis for structures with interval parameters (2002, methodology): “Engng 2002; 53:393–407 (DOI: 10.1002/nme.281) Interval static displacement analysis for structures with interval parameters Suhuan Chen∗;†, Huadong Lian and Xiaowei Yang Department of Mechanics; Jilin University; Changchun 130025; People’s Republic of China”