Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells

DOI10.1115/1.2823335zbMath0885.73029OpenAlexW1969275261MaRDI QIDQ4340107

Char-Ming Chin, Ali Hasan Nayfeh

Publication date: 3 May 1998

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2823335

zbMATH Keywords

stabilitymethod of multiple scalesmodulation equationstwo orthogonal flexural modestwo-mode discretization

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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Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells ⋮ Global bifurcations of a simply supported rectangular metallic plate subjected to a transverse harmonic excitation ⋮ Multi-pulse jumping orbits and homoclinic trees in motion of a simply supported rectangular metallic plate ⋮ Accuracy improvement of the method of multiple scales for nonlinear vibration analyses of continuous systems with quadratic and cubic nonlinearities ⋮ Simplified non-linear dynamical equations of circular cylindrical shells ⋮ Validity and accuracy of solutions for nonlinear vibration analyses of suspended cables with one-to-one internal resonance ⋮ Flexural vibrations of nonlinearly elastic circular rings ⋮ Nonlinear vibrations of circular cylindrical shells with thermal effects: an experimental study

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