Exact Boundary Condition Perturbation Solutions in Eigenvalue Problems

DOI10.1115/1.2787187zbMath0873.35100OpenAlexW2007703745MaRDI QIDQ4339700

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Publication date: 2 November 1997

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2787187

zbMATH Keywords

perturbation methodHelmholtz equationclosed-form expressionsplate vibrationselfadjoint eigenvalue problems

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Perturbation theory of linear operators (47A55) Perturbations in context of PDEs (35B20)

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Estimation and elimination of eigenvalue splitting and vibration instability of ring-shaped periodic structure subjected to three-axis angular velocity components ⋮ Eigenvalue sensitivity and veering in gyroscopic systems with application to high-speed planetary gears

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