BIFURCATION AND CHAOTIC MOTION OF AN ELASTIC PLATE OF LARGE DEFLECTION UNDER PARAMETRIC EXCITATION

DOI10.1142/S0218127405013666zbMath1093.74529OpenAlexW2043351858MaRDI QIDQ5474328

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Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405013666

zbMATH Keywords

method of averagingdouble mode modelGalerkin principle

Mathematics Subject Classification ID

Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Periodic, quasiperiodic and chaotic behavior of a driven Froude pendulum
• Vibration analysis on a thin plate with the aid of computation of normal forms
• A study of chaotic motion in elastic cylindrical shells
• Mathematical models used in studying the chaotic vibration of buckled beams
• Nonlinear dynamics of a shallow arch under periodic excitation. II: 1:1 internal resonance
• A new approach with piecewise-constant arguments to approximate and numerical solutions of oscillatory problems
• Non-linear phenomena in forced vibrations of a nearly square plate: Antisymmetric case
• Linear and nonlinear transient vibration analysis of stiffened plate structures.

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