Eigenvalue bounds of structures with uncertain-but-bounded parameters

DOI10.1016/j.jsv.2004.02.051zbMath1237.70056OpenAlexW1980160063MaRDI QIDQ2883654

Xiao-Jun Wang, Michael I. Friswell, Zhi-Ping Qiu

Publication date: 13 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2004.02.051

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) General methods in interval analysis (65G40) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (15)

Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis ⋮ Probabilistic and Interval Static Response Analysis of Truss Structures with Uncertain Parameters ⋮ Non-probabilistic set-theoretic model for structural safety measure ⋮ Computation of bounds for eigenvalues of structures with interval parameters ⋮ Safety margin analysis of buckling for structures with unknown but bounded uncertainties ⋮ Determining the range of real eigenvalues for the interval generalized eigenvalue problem ⋮ Fuzzy uncertainty propagation in composites using Gram-Schmidt polynomial chaos expansion ⋮ Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB ⋮ An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties ⋮ Time response of structure with interval and random parameters using a new hybrid uncertain analysis method ⋮ An analytical model for solving generalized interval eigenvalue problem ⋮ Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method ⋮ An interval algorithm for uncertain dynamic stability analysis ⋮ A spectral approach for fuzzy uncertainty propagation in finite element analysis ⋮ Extremal eigenvalue intervals of symmetric tridiagonal interval matrices

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