Shock and Vibration

Shock and Vibration / 2002 / Article

Open Access

Volume 9 |Article ID 718921 |

Ali H. Nayfeh, Waleed Faris, "Thermally Induced Principal Parametric Resonance in Circular Plates", Shock and Vibration, vol. 9, Article ID 718921, 8 pages, 2002.

Thermally Induced Principal Parametric Resonance in Circular Plates

Received03 Jul 2001
Revised29 Oct 2001


We consider the problem of large-amplitude vibrations of a simply supported circular flat plate subjected to harmonically varying temperature fields arising from an external heat flux (aeroheating for example). The plate is modeled using the von Karman equations. We used the method of multiple scales to determine an approximate solution for the case in which the frequency of the thermal variations is approximately twice the fundamental natural frequency of the plate; that is, the case of principal parametric resonance. The results show that such thermal loads produce large-amplitude vibrations, with associated multi-valued responses and subcritical instabilities.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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