A study of chaotic motion in elastic cylindrical shells

DOI10.1016/S0997-7538(99)80021-7zbMath0942.74036WikidataQ126458154 ScholiaQ126458154MaRDI QIDQ1302552

Qiang Han, Gui-Tong Yang, Hai-Yan Hu

Publication date: 22 September 1999

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

chaotic motionMelnikov methodphase portraitGalerkin approachelastic cylindrical shellPoincaré mappingtime historycubic termsingle mode modelsquare term

Mathematics Subject Classification ID

Shells (74K25) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

Related Items (3)

BIFURCATION AND CHAOTIC MOTION OF AN ELASTIC PLATE OF LARGE DEFLECTION UNDER PARAMETRIC EXCITATION ⋮ Chaotic Vibrations of Conical and Spherical Shells and Their Control ⋮ Chaotic response of a large deflection beam and effect of the second order mode

Cites Work

• Mathematical models used in studying the chaotic vibration of buckled beams
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam

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