Analysis of regular and chaotic dynamics of the Euler-Bernoulli beams using finite difference and finite element methods

DOI10.1007/s10409-011-0412-5zbMath1344.74035OpenAlexW2108250523MaRDI QIDQ2430836

J. Mrozowski, M. V. Zhigalov, O. A. Saltykova, Jan Awrejcewicz, A. V. Krys'ko

Publication date: 8 April 2011

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-011-0412-5

zbMATH Keywords

chaosfinite element methodfinite difference methodEuler-Bernoulli beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20) Random vibrations in dynamical problems in solid mechanics (74H50)

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Cites Work

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• Chaos in structural mechanics
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Bifurcations, catastrophes and chaos in a pre-buckled beam
• Chaos in a Harmonically Excited Elastic Beam
• Vibration of Axially-Loaded Structures
• Feigenbaum scenario exhibited by thin plate dynamics

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