A new method for computing the upper and lower bounds on frequencies of structures with interval parameters

DOI10.1016/0093-6413(95)00045-SzbMath0847.73027OpenAlexW2025101090MaRDI QIDQ5917739

Zhi-Ping Qiu, Da-Tong Song, Su-Huan Chen

Publication date: 13 October 1996

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(95)00045-s

zbMATH Keywords

Rayleigh quotientminimax theoreminterval matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (7)

Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis ⋮ Uncertain dynamic responses of fuzzy fractionally damped spring-mass system ⋮ Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads ⋮ An evolution strategy method for computing eigenvalue bounds of interval matrices ⋮ An analytical model for solving generalized interval eigenvalue problem ⋮ An interval algorithm for uncertain dynamic stability analysis ⋮ A survey of non-probabilistic uncertainty treatment in finite element analysis

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