Wavelet-Based Analysis of the Regular and Chaotic Dynamics of Rectangular Flexible Plates Subjected to Shear-Harmonic Loading

J. Awrejcewicz; I.V. Papkova; E.U. Krylova; V.A. Krysko

doi:10.1155/2012/658298

journal article Open Access Jan 01, 2012

Wavelet-Based Analysis of the Regular and Chaotic Dynamics of Rectangular Flexible Plates Subjected to Shear-Harmonic Loading

J. Awrejcewicz I.V. Papkova E.U. Krylova V.A. Krysko

Shock and Vibration Vol. 19 No. 5 pp. 979-994 · Wiley

View at Publisher Save 10.1155/2012/658298

Abstract

We investigate non-linear dynamics of flexible rectangular plates subjected to external shear harmonic load action. We show that an application of the classical and widely used Fourier analysis does not allow to obtain real picture of the frequency vibration characteristics in each time instant. On the other hand, we show that application of the wavelets approach allows to follow frequency time evolutions. Our numerical results indicate that vibrations in different plate points occur with the same frequencies set although their power is different. Hence, the vibration characteristics can be represented by one arbitrary taken plate point. Furthermore, using wavelets scenarios of transitions from regular to chaotic dynamics are illustrated and discussed including two novel scenarios not reported so far in the existing literature.

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Details

Published: Jan 01, 2012
Vol/Issue: 19(5)
Pages: 979-994
License: View

Authors

J

J. Awrejcewicz

TU Darmstadt LOEWE-Zentrum AdRIA, Darmstadt, Germany; TU Lodz, Department of Automation and Biomechanics, Lodz, Poland

I

I.V. Papkova

Department of Mathematics and Modeling, The Saratov State Technical University, Saratov, Russia

E

E.U. Krylova

Department of Mathematics and Modeling, The Saratov State Technical University, Saratov, Russia

V

V.A. Krysko

Department of Mathematics and Modeling, The Saratov State Technical University, Saratov, Russia

Funding

Alexander von Humboldt

Cite This Article

J. Awrejcewicz, I.V. Papkova, E.U. Krylova, et al. (2012). Wavelet-Based Analysis of the Regular and Chaotic Dynamics of Rectangular Flexible Plates Subjected to Shear-Harmonic Loading. Shock and Vibration, 19(5), 979-994. https://doi.org/10.1155/2012/658298

Wavelet-Based Analysis of the Regular and Chaotic Dynamics of Rectangular Flexible Plates Subjected to Shear-Harmonic Loading

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