| Issue |
MATEC Web Conf.
Volume 148, 2018
International Conference on Engineering Vibration (ICoEV 2017)
|
|
|---|---|---|
| Article Number | 06001 | |
| Number of page(s) | 5 | |
| Section | Dynamics of Composite and Smart Structures | |
| DOI | https://doi.org/10.1051/matecconf/201814806001 | |
| Published online | 02 February 2018 | |
A Reduced Model of a Thermo-Elastic Nonlinear Circular Plate
1
Department of Thermodynamics, Fluid Mechanics and Aviation Propulsion Systems, Lublin University of Technology, Lublin, Poland
2
Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria
3
Department of Applied Mechanics, Lublin University of Technology, Lublin, Poland
* e-mail: a.warminska@pollub.pl
** e-mail: e.manoach@imbm.bas.bg
*** e-mail: j.warminski@pollub.pl
Nonlinear vibrations of a circular plate subjected to mechanical and thermal loadings are presented in the paper. A model of the plate is based on the extended Mindlin theory, taking into account nonlinear geometrical terms and acting heat uniformly distributed along the plate span. The dynamics of a coupled thermo-mechanical problem is reduced from a set of partial differential equations to ordinary differential equations. Considering oscillations around the first natural frequency just one mode reduction is proposed. The analysis shows that elevated temperature shifts the resonance curve and new post-buckling oscillations arise. Depending on initial conditions for the post-buckling state various scenarios of bifurcations take place and transient irregular oscillations may occur. The proposed one degree of freedom model shows a good agreement with response of the model based on three or five-modes reduction.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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