### 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 |

### Fingerprint

### Keywords

- Beam
- Chaos
- Wavelets
- Weak turbulence

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*377*(34-36), 2058-2061. https://doi.org/10.1016/j.physleta.2013.06.040

**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.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 377, no. 34-36, pp. 2058-2061. https://doi.org/10.1016/j.physleta.2013.06.040

}

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

AN - SCOPUS:84880264697

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 -