Chaotic motion of a nonlinear thermo-elastic elliptic plate

DOI10.1007/BF02459058zbMath0976.74526OpenAlexW1979141264MaRDI QIDQ1969923

Qiang Han, Gui-Tong Yang, Nian-Mei Zhang

Publication date: 9 January 2002

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

Full work available at URL: https://doi.org/10.1007/bf02459058

zbMATH Keywords

thermoelasticitylarge deflectionsphase portraitMelnikov function methodnonlinear dynamic equationPoincaré mappingtime historycritical condition for chaotic motionharmonically forced elliptic platepaths to chaotic motion

Mathematics Subject Classification ID

Plates (74K20) Thermal effects in solid mechanics (74F05) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

Related Items (4)

Bifurcations and chaos in a periodic time-varying temperature-excited bimetallic shallow shell of revolution ⋮ Chaotic and bifurcation dynamics of a simply-supported thermo-elastic circular plate with variable thickness in large deflection. ⋮ Chaotic [motion and bifurcation for a simply-supported thermo-mechanical coupling circular plate with variable thickness] ⋮ Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.

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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