|
|||||
|
|
Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena |
|
| Authors: | VA Krysko J Awrejcewicz IE Kutepov NA Zagniboroda IV Papkova AV Serebryakov AV Krysko |
| Institution: | 1. Department of Applied Mathematics and Systems Analysis, Saratov State Technical University, Politehnicheskaya 77, 410054 Saratov, Russian Federation;2. Lodz University of Technology, Department of Automation and Biomechanics, 1/15 Stefanowski St., 90-924 Lodz, Poland;3. Warsaw University of Technology, Department of Vehicles, 84 Narbutta St., 02-524 Warsaw, Poland;4. Department of Mathematics and Modeling, Saratov State Technical University, Politehnicheskaya 77, 410054 Saratov, Russian Federation |
| 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. |
| Keywords: | Chaos Weak turbulence Beam Wavelets |
| 本文献已被 ScienceDirect 等数据库收录！ | |