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 language | English |
|---|---|
| Article number | 011005 |
| Journal | Journal of Computational and Nonlinear Dynamics |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Mechanical Engineering
- Applied Mathematics
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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 journal › Article
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TY - JOUR
T1 - Analysis of the nonlinear dynamics of the timoshenko flexible beams using wavelets
AU - Awrejcewicz, J.
AU - Krysko, A. V.
AU - Soldatov, V.
AU - Krysko, V. A.
PY - 2012/1/1
Y1 - 2012/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84873285206&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873285206&partnerID=8YFLogxK
U2 - 10.1115/1.4004376
DO - 10.1115/1.4004376
M3 - Article
AN - SCOPUS:84873285206
VL - 7
JO - Journal of Computational and Nonlinear Dynamics
JF - Journal of Computational and Nonlinear Dynamics
SN - 1555-1423
IS - 1
M1 - 011005
ER -