Thermally Induced Principal Parametric Resonance in Circular Plates

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dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorFaris, Waleed F.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessioned2017-09-18T10:09:07Zen
dc.date.available2017-09-18T10:09:07Zen
dc.date.issued2002-01-01en
dc.date.updated2017-09-18T10:09:07Zen
dc.description.abstractWe 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.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationAli H. Nayfeh and Waleed Faris, “Thermally Induced Principal Parametric Resonance in Circular Plates,” Shock and Vibration, vol. 9, no. 3, pp. 143-150, 2002. doi:10.1155/2002/718921en
dc.identifier.doihttps://doi.org/10.1155/2002/718921en
dc.identifier.urihttp://hdl.handle.net/10919/79104en
dc.language.isoenen
dc.publisherHindawien
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 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.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleThermally Induced Principal Parametric Resonance in Circular Platesen
dc.title.serialShock and Vibrationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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