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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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2002/718921 |
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| _version_ | 1832558911382618112 |
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| author | Ali H. Nayfeh Waleed Faris |
| author_facet | Ali H. Nayfeh Waleed Faris |
| author_sort | Ali H. Nayfeh |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-12faabec18384aeba7e3d28d8acc5168 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-12faabec18384aeba7e3d28d8acc51682025-02-03T01:31:15ZengWileyShock 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 |
| spellingShingle | Ali H. Nayfeh Waleed Faris Thermally Induced Principal Parametric Resonance in Circular Plates Shock and Vibration |
| title | 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_short | Thermally Induced Principal Parametric Resonance in Circular Plates |
| title_sort | thermally induced principal parametric resonance in circular plates |
| url | http://dx.doi.org/10.1155/2002/718921 |
| work_keys_str_mv | AT alihnayfeh thermallyinducedprincipalparametricresonanceincircularplates AT waleedfaris thermallyinducedprincipalparametricresonanceincircularplates |