Nonlinear flexural vibration of a circular ring. A single mode approach

DOI10.1016/J.CHAOS.2006.10.006zbMath1203.74062OpenAlexW1980679273MaRDI QIDQ937331

Abdellah Karimin, Mohamed Belhaq, Mohamed Rougui

Publication date: 14 August 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.006

zbMATH Keywords

bifurcation1:1 resonanceLagrange's equationSander's theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (4)

A Timoshenko-like model for the study of three-dimensional vibrations of an elastic ring of general cross-section ⋮ Effect of stiffener on nonlinear characteristic behavior of a rectangular plate: a single mode approach ⋮ The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell ⋮ Flexural vibrations of nonlinearly elastic circular rings

Cites Work

• Unnamed Item
• Non-linearity, bifurcation and chaos in the finite dynamics of different cable models.
• Regular and chaotic forced vibration of thin rotating rings
• Large amplitude free flexural vibration of rings using finite element approach
• Prediction of bifurcations and chaos for an asymmetric elastic oscillator
• Dynamics and stability of nonlinear free vibration of thin rotating rings
• Subharmonic responses in harmonically excited rectangular plates with one-to-one internal resonance
• Modal equations for the nonlinear flexural vibrations of a cylindrical shell
• The role of median surface curvature in large amplitude flexural vibrations of thin shells

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