Time-averaged canonical perturbation of nonlinear vibrations of a spinning disk

DOI10.1016/J.NONRWA.2005.03.004zbMath1130.70325OpenAlexW2013253370MaRDI QIDQ859533

Jean W. Zu, Natalie Baddour

Publication date: 16 January 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.03.004

zbMATH Keywords

nonlinear spinning disk coupled vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear resonances for nonlinear problems in mechanics (70K30) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

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• Stationary waves in a thin spinning disk
• Non-linear transverse vibrations and waves in spinning membrane discs
• On the elastic stability of Coriolis-coupled oscillations of a rotating disc
• A Fast Eigenfunction Approach for Computing Spinning Disk Deflections
• A perturbation solution for the flexible rotating disk: non-linear equilibrium and stability under transverse loading
• Transverse vibrations of a clamped spinning membrane.
• Free vibration of a centrally clamped spinning circular disk
• A revisit of spinning disk models. I: Derivation of equations of motion. II: Linear transverse vibrations

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