On an approximate criterion for chaotic motion in a model of a buckled beam

DOI10.1007/BF02570610zbMath0606.73044MaRDI QIDQ3745392

Jerzy Rudowski, Wanda Szemplińska-Stupnicka

Publication date: 1987

Published in: Ingenieur-Archiv (Search for Journal in Brave)

zbMATH Keywords

computer simulationperiod doubling bifurcationsubharmonic motionsfirst approximate harmonic solutionapproximate theory of nonlinear vibrationapproximation criterion for chaotic motioncritical system parametersPeriodic and chaotic motionssmall orbit motion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ The refined approximate criterion for chaos in a two-state mechanical oscillator ⋮ Chaos in mechanical systems -- a review ⋮ Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
• 'Strange' phenomena in dynamical systems and their physical implications
• Secondary resonances and approximate models of routes to chaotic motion in non-linear oscillators
• A nonlinear oscillator with a strange attractor
• Averaging and Chaotic Motions in Forced Oscillations
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation

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