Analysis of the nonlinear dynamics of the timoshenko flexible beams using wavelets

J. Awrejcewicz, A. V. Krysko, V. Soldatov, V. A. Krysko

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Regular and chaotic dynamics of the flexible Timoshenko-type beams is studied using both the standard Fourier (FFT) and the continuous wavelet transform methods. The governing equations of motion for geometrically nonlinear Timoshenko-type beams are reduced to a system of ODEs using both finite element method (FEM) and finite difference method (FDM) to ensure the reliability of numerical results. Scenarios of transition from regular to chaotic vibrations and beam dynamical stability loss are analyzed. Advantages and disadvantages of various wavelet functions are discussed. Application of continuous wavelet transform to the investigation of transitional and chaotic phenomena in nonlinear dynamics is illustrated and discussed.

Original languageEnglish
Article number011005
JournalJournal of Computational and Nonlinear Dynamics
Volume7
Issue number1
DOIs
Publication statusPublished - 1 Jan 2012
Externally publishedYes

Fingerprint

Flexible Beam
Timoshenko Beam
Wavelet transforms
Nonlinear Dynamics
Continuous Wavelet Transform
Wavelets
Finite difference method
Fast Fourier transforms
Equations of motion
Chaotic Dynamics
Finite element method
Difference Method
Governing equation
Equations of Motion
Finite Difference
Vibration
Finite Element Method
Numerical Results
Scenarios

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Analysis of the nonlinear dynamics of the timoshenko flexible beams using wavelets. / Awrejcewicz, J.; Krysko, A. V.; Soldatov, V.; Krysko, V. A.

In: Journal of Computational and Nonlinear Dynamics, Vol. 7, No. 1, 011005, 01.01.2012.

Research output: Contribution to journalArticle

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