Abstract
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 language | English |
|---|---|
| Pages (from-to) | 36-43 |
| Number of pages | 8 |
| Journal | Acta Mechanica Sinica/Lixue Xuebao |
| Volume | 27 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Feb 2011 |
| Externally published | Yes |
Keywords
- Chaos
- Euler-Bernoulli beams
- Finite difference method
- Finite element method
ASJC Scopus subject areas
- Computational Mechanics
- Mechanical Engineering
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Cite this
Awrejcewicz, J., Krysko, A. V., Mrozowski, J., Saltykova, O. A., & Zhigalov, M. V. (2011). Analysis of regular and chaotic dynamics of the Euler-Bernoulli beams using finite difference and finite element methods. Acta Mechanica Sinica/Lixue Xuebao, 27(1), 36-43. https://doi.org/10.1007/s10409-011-0412-5