Chaotic vibrations in flexible multi-layered Bernoulli-Euler and Timoshenko type beams

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

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Numerical investigations of transversally driven beams are carried out versus control parameters, i.e. amplitude and frequency of an external loading for a series of boundary conditions and for two kinematical beam models of Euler-Bernoulli and Timoshenko types. Novel stiff stability beam loss is detected and studied. Reliability of the obtained results is verified via FEM (Finite Element Method) and FDM (Finite Difference Method). Transitional and chaotic phenomena exhibited by flexible Euler-Bernoulli beams subjected to an impact action of a one-degree of freedom body with a given mass and velocity are analyzed. It has been shown, among the others, that inclusion of transversal shears and rotation inertia essentially influences nonlinear dynamics of the studied beams subjected to transversal and sign-changeable load actions.

Original languageEnglish
Pages (from-to)319-363
Number of pages45
JournalLatin American Journal of Solids and Structures
Volume5
Issue number4
Publication statusPublished - 1 Dec 2008
Externally publishedYes

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Finite difference method
Boundary conditions
Finite element method

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Automotive Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Chaotic vibrations in flexible multi-layered Bernoulli-Euler and Timoshenko type beams. / Awrejcewicz, J.; Krysko, A. V.; Zhigalov, M. V.; Saltykova, O. A.; Krysko, V. A.

In: Latin American Journal of Solids and Structures, Vol. 5, No. 4, 01.12.2008, p. 319-363.

Research output: Contribution to journalArticle

Awrejcewicz, J. ; Krysko, A. V. ; Zhigalov, M. V. ; Saltykova, O. A. ; Krysko, V. A. / Chaotic vibrations in flexible multi-layered Bernoulli-Euler and Timoshenko type beams. In: Latin American Journal of Solids and Structures. 2008 ; Vol. 5, No. 4. pp. 319-363.
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