On the in-plane vibrations of rotating rings

DOI10.1016/S0022-460X(85)80034-1zbMath0585.73102OpenAlexW2016597084MaRDI QIDQ3710056

William B. Bickford, E. Sai Baba Reddy

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/s0022-460x(85)80034-1

zbMATH Keywords

rotatory inertiabendingvelocityequations of motionHamilton's principlepotential energyadditional termskinetic energy functionalsrotating ringin-plane vibrationsBernoulli-Euler theoryconstant angulardifferential equations for the inextensional caseeffects of extensional and shear deformationtranslational inertia

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (6)

On the dynamics of rotating and rolling structures ⋮ In-plane free vibration of a single-crystal silicon ring ⋮ Limitations of an inextensible model for the vibration of high-speed rotating elastic rings with attached space-fixed discrete stiffnesses ⋮ Unnamed Item ⋮ Vibration analysis of a multi-span rotating ring with ray tracing method ⋮ Eigenvalue sensitivity and veering in gyroscopic systems with application to high-speed planetary gears

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