Interval analysis of vibrating systems

DOI10.1006/jsvi.1995.0283zbMath0982.74514OpenAlexW2009341803MaRDI QIDQ4510591

Andrew D. Dimarogonas

Publication date: 10 April 2002

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

Full work available at URL: https://doi.org/10.1006/jsvi.1995.0283

zbMATH Keywords

monotonicityoptimization techniqueMonte Carlo solutionabsolute inclusionconverging interval halving sequenceeigenvalue sensitivity problemfinite width interval matricesminimum-radius intervals of solution

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) General methods in interval analysis (65G40)

Related Items (14)

A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices ⋮ Uncertain dynamic responses of fuzzy fractionally damped spring-mass system ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ A filtering method for the interval eigenvalue problem ⋮ An algorithm for addressing the real interval eigenvalue problem ⋮ Steady-state response analysis of cracked rotors with uncertain-but-bounded parameters using a polynomial surrogate method ⋮ Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties ⋮ Transient analysis of speed-varying rotor with uncertainty based on interval approaches ⋮ Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads ⋮ Characterizing and approximating eigenvalue sets of symmetric interval matrices ⋮ A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method ⋮ An evolution strategy method for computing eigenvalue bounds of interval matrices ⋮ Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory ⋮ A Novel Method for Load Bounds Identification for Uncertain Structures in Frequency Domain

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