Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis

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A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2014, methodology): “A parameter perturbation method was proposed for the dynamic response analysis of structures with uncertain-but-bounded interval uncertainty [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.”
A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2013, unknown): “[21, 22] developed non-probabilistic interval analysis”
Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, background): “and latterly aroused much attention in uncertainty analysis and design of structures (Qiu and Wang 2003; Qiu and Wang 2005; Jiang et al. 2007; Jiang et al. 2008).”
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).”