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 |
Keywords
- Beam
- Chaos
- Wavelets
- Weak turbulence
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Krysko, V. A., Awrejcewicz, J., Kutepov, I. E., Zagniboroda, N. A., Papkova, I. V., Serebryakov, A. V., & Krysko, A. V. (2013). Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena. 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