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

Результат исследований: Материалы для журналаСтатья

21 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаАнглийский
Страницы (с-по)36-43
Число страниц8
ЖурналActa Mechanica Sinica/Lixue Xuebao
Том27
Номер выпуска1
DOI
СостояниеОпубликовано - 1 фев 2011
Опубликовано для внешнего пользованияДа

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

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