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 | |
| Publication status | Published - 1 Nov 2013 |
| Externally published | Yes |
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Keywords
- Beam
- Chaos
- Wavelets
- Weak turbulence
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
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
}
TY - JOUR
T1 - Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena
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.
PY - 2013/11/1
Y1 - 2013/11/1
N2 - 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.
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.
KW - Beam
KW - Chaos
KW - Wavelets
KW - Weak turbulence
UR - http://www.scopus.com/inward/record.url?scp=84880264697&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84880264697&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.06.040
DO - 10.1016/j.physleta.2013.06.040
M3 - Article
VL - 377
SP - 2058
EP - 2061
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 34-36
ER -