Thermally Induced Principal Parametric Resonance in Circular Plates

Thermally Induced Principal Parametric Resonance in Circular Plates

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 scale...

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Main Authors: Ali H. Nayfeh, Waleed Faris
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2002/718921
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spelling doaj-12faabec18384aeba7e3d28d8acc51682020-11-24T21:47:25ZengHindawi LimitedShock and Vibration1070-96221875-92032002-01-019314315010.1155/2002/718921Thermally Induced Principal Parametric Resonance in Circular PlatesAli H. Nayfeh0Waleed Faris1Department of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USADepartment of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USAWe 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.http://dx.doi.org/10.1155/2002/718921
collection DOAJ
language English
format Article
sources DOAJ
author Ali H. Nayfeh
Waleed Faris
spellingShingle Ali H. Nayfeh
Waleed Faris
Thermally Induced Principal Parametric Resonance in Circular Plates
Shock and Vibration
author_facet Ali H. Nayfeh
Waleed Faris
author_sort Ali H. Nayfeh
title Thermally Induced Principal Parametric Resonance in Circular Plates
title_short Thermally Induced Principal Parametric Resonance in Circular Plates
title_full Thermally Induced Principal Parametric Resonance in Circular Plates
title_fullStr Thermally Induced Principal Parametric Resonance in Circular Plates
title_full_unstemmed Thermally Induced Principal Parametric Resonance in Circular Plates
title_sort thermally induced principal parametric resonance in circular plates
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2002-01-01
description 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.
url http://dx.doi.org/10.1155/2002/718921
work_keys_str_mv AT alihnayfeh thermallyinducedprincipalparametricresonanceincircularplates
AT waleedfaris thermallyinducedprincipalparametricresonanceincircularplates
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