Nonlinear dynamics and chaos of a finite-degree-of-freedom model of a buckled rod

DOI10.1007/BF00426991zbMath0868.73037OpenAlexW2055029936MaRDI QIDQ676943

Juan-Miguel Gracia

Publication date: 26 August 1997

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00426991

zbMATH Keywords

bifurcationlumped parameter modellingsupercritical forcetime-dependent transverse loading

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation
• On the Understanding of Chaos in Duffings Equation Including a Comparison With Experiment
• A nonlinear oscillator with a strange attractor
• Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement, Part I: Theory
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation