A revisit of spinning disk models. I: Derivation of equations of motion. II: Linear transverse vibrations

DOI10.1016/S0307-904X(00)00065-2zbMath1010.74024OpenAlexW2078818883MaRDI QIDQ5950110

Natalie Baddour, J. Wuzheng Zu

Publication date: 10 February 2002

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(00)00065-2

zbMATH Keywords

equations of motionHamilton's principlerotary inertiain-plane inertialinear Kirchhoff strainlinear transverse vibrationsnonlinear von Kármán strainspinning plate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (9)

Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. I: Large unwrinkled axisymmetric deformations ⋮ Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. II: Vibrations about deformed equilibria ⋮ Time-averaged canonical perturbation of nonlinear vibrations of a spinning disk ⋮ On the linearization of the equations of motion of a rotating disk ⋮ Analytical study on the stiffness and natural frequency improvements of tensioned inner-diameter saw blade ⋮ A generalized formulation of elastodynamics: small on rigid ⋮ Nonlinearly coupled in-plane and transverse vibrations of a spinning disk ⋮ Slicing process dynamic modelling of inner-diameter saw blade ⋮ On the existence of chaotic circumferential waves in spinning disks

Cites Work

• An asymptotic theory for circular cylindrical shells
• Free vibration of a centrally clamped spinning circular disk
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