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

J. Awrejcewicz, A. V. Krysko, J. Mrozowski, O. A. Saltykova, M. V. Zhigalov

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Chaotic vibrations of flexible non-linear Euler-Bernoulli beams subjected to harmonic load and with various boundary conditions (symmetric and non-symmetric) are studied in this work. Reliability of the obtained results is verified by the finite difference method (FDM) and the finite element method (FEM) with the Bubnov-Galerkin approximation for various boundary conditions and various dynamic regimes (regular and non-regular). The influence of boundary conditions on the Euler-Bernoulli beams dynamics is studied mainly, dynamic behavior vs. control parameters {ω p, q 0} is reported, and scenarios of the system transition into chaos are illustrated.

Original languageEnglish
Pages (from-to)36-43
Number of pages8
JournalActa Mechanica Sinica/Lixue Xuebao
Issue number1
Publication statusPublished - 1 Feb 2011
Externally publishedYes



  • Chaos
  • Euler-Bernoulli beams
  • Finite difference method
  • Finite element method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

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