Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.

DOI10.1016/S0960-0779(01)00158-8zbMath1068.74571OpenAlexW2063142053MaRDI QIDQ1610085

R. Smith

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00158-8

Mathematics Subject Classification ID

Plates (74K20) Thermal effects in solid mechanics (74F05) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

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Cites Work

• Local and global bifurcations in parametrically excited vibrations of nearly square plates
• Nonlinear free vibration of heated orthotropic rectangular plates
• Thermomechanically coupled nonlinear vibration of plates
• Chaos in the imbalance response of a flexible rotor supported by oil film bearings with nonlinear suspension
• Large amplitude vibration of orthotropic elliptical plates
• Subharmonic responses in harmonically excited rectangular plates with one-to-one internal resonance
• Chaotic motion of a nonlinear thermo-elastic elliptic plate
• The double mode model of the chaotic motion for a large deflection plate
• A coupled problem of thermoelastic vibrations of a circular plate with exact boundary conditions
• Effect of in-plane inertia on buckling of imperfect plates with large deformations
• Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates
• Non-linear resonances in the forced responses of plates, part II: Asymmetric responses of circular plates
• Non-linear phenomena in forced vibrations of a nearly square plate: Antisymmetric case
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