The double mode model of the chaotic motion for a large deflection plate

DOI10.1007/BF02458561zbMath0976.74029MaRDI QIDQ1975406

Xuefeng Shu, Qiang Han, Gui-Tong Yang

Publication date: 29 August 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

chaoschaotic motionPoincaré sectionMelnikov methoddouble mode modelGalerkin approachtransverse vibrationssingle mode modelbuckled platelarge deflection platelateral harmonic excitation

Mathematics Subject Classification ID

Plates (74K20) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

Related Items (5)

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 ⋮ Chaotic and bifurcation dynamics of a simply-supported thermo-elastic circular plate with variable thickness in large deflection. ⋮ Chaotic Vibrations of Conical and Spherical Shells and Their Control ⋮ Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.

Cites Work

• Unnamed Item
• Mathematical models used in studying the chaotic vibration of buckled beams
• Vibrations of elastic-plastic fully clamped beams and flat arches under impulsive loading
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam

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