Interval eigenvalue analysis for structures with interval parameters

By Su-huan Chen, H. Lian, Xiao Wei Yang. 2003

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Discussions on non-probabilistic convex modelling for uncertain problems (2017, methodology): “Under the assumption of small uncertainty, a first-order interval perturbation method was applied to determine the influence of interval parameters on eigenvalues [11] and static displacements [12] of structures.”
Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011, background): “In engineering applications, uncertainty also exists in determining external loads, such as wind forces, earthquake motions, ocean waves, blast shocks, vibrations of high speed trains on rails and automobiles on highways.”
An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011, unknown): “[6, 10, 19].”
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).”