MATEC Web Conf.
Volume 83, 2016CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||3|
|Section||Nonlinear dynamics of flexible structures|
|Published online||16 November 2016|
Dynamics of a Circular Mindlin Plate under Mechanical Loading and Elevated Temperature
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
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Dynamics of a nonlinear circular Midlin plate is studied in the paper. The mathematical model represented by partial differential equations includes nonlinear geometrical terms resulted from large displacements. The plate is subjected to mechanical and thermal loadings. The dynamics of a coupled thermo-mechanical problem is reduced from partial to ordinary differential equations. Considering the first mode reduction and uniformly distributed temperature just a single nonlinear differential equation is obtained. The bifurcation analysis shows that elevated temperature shifts the rezonanse curve and new solutions arise. Depending on initial conditions this may lead to buckling phenomenon and then relatively small oscillations around this state, symmetric periodic oscillations of large amplitude, or irregular oscillations.
© The Authors, published by EDP Sciences, 2016
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.
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