Chaotic vibrations of a cylindrical shell-panel with an in-plane elastic-support at boundary

DOI10.1023/A:1008215831376zbMath0879.73036OpenAlexW98082517MaRDI QIDQ1362295

Ken-ichi Nagai, Takao Yamaguchi

Publication date: 22 January 1998

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008215831376

zbMATH Keywords

phase spaceinertia forceharmonic balance methodLyapunov exponentRunge-Kutta-Gill methodLyapunov dimensiondynamic snap-throughDonnell-Mushtari-Vlasov equationharmonic lateral excitationPoincaré projectionrectangular boundary

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Bifurcations and chaos in a periodic time-varying temperature-excited bimetallic shallow shell of revolution ⋮ Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods ⋮ A parametric study on supersonic/hypersonic flutter behavior of aero-thermo-elastic geometrically imperfect curved skin panel

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