Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena

Abstract

The Euler-Bernoulli kinematic model as well as the von Kármán geometric non-linearity are used to derive the PDEs governing flexible beam vibrations. The beam is embedded into a 2D temperature field, and its surface is subjected to action of the electric potential. We report how an increase of the exciting load amplitude yields the beam turbulent behavior, and how the temperature changes a scenario from a regular/laminar to spatio-temporal/ turbulent dynamics. Both classical Fourier analysis and Morlet wavelets are used to monitor a strong influence of temperature on regular and chaotic beam dynamics.

Original language	English
Pages (from-to)	2058-2061
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	34-36
DOIs	https://doi.org/10.1016/j.physleta.2013.06.040
Publication status	Published - 1 Nov 2013
Externally published	Yes

Keywords

Beam
Chaos
Wavelets
Weak turbulence

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1016/j.physleta.2013.06.040

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Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena. / Krysko, V. A.; Awrejcewicz, J.; Kutepov, I. E.; Zagniboroda, N. A.; Papkova, I. V.; Serebryakov, A. V.; Krysko, A. V.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 377, No. 34-36, 01.11.2013, p. 2058-2061.

Research output: Contribution to journal › Article › peer-review

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AU - Krysko, V. A.

AU - Awrejcewicz, J.

AU - Kutepov, I. E.

AU - Zagniboroda, N. A.

AU - Papkova, I. V.

AU - Serebryakov, A. V.

AU - Krysko, A. V.

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AB - The Euler-Bernoulli kinematic model as well as the von Kármán geometric non-linearity are used to derive the PDEs governing flexible beam vibrations. The beam is embedded into a 2D temperature field, and its surface is subjected to action of the electric potential. We report how an increase of the exciting load amplitude yields the beam turbulent behavior, and how the temperature changes a scenario from a regular/laminar to spatio-temporal/ turbulent dynamics. Both classical Fourier analysis and Morlet wavelets are used to monitor a strong influence of temperature on regular and chaotic beam dynamics.

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