Free In-Plane Vibration of Super-Elliptical Plates
Free in-plane vibration of super-elliptical plates of uniform thickness was investigated by the Ritz method. A large variety of plate shapes ranging from an ellipse to a rectangle were examined. Two cases were considered: (1) a completely free, and (2) a point-supported plate. The geometrical bounda...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0527 |
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| _version_ | 1832568303922446336 |
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| author | Murat Altekin |
| author_facet | Murat Altekin |
| author_sort | Murat Altekin |
| collection | DOAJ |
| description | Free in-plane vibration of super-elliptical plates of uniform thickness was investigated by the Ritz method. A large variety of plate shapes ranging from an ellipse to a rectangle were examined. Two cases were considered: (1) a completely free, and (2) a point-supported plate. The geometrical boundary conditions were satisfied by the Lagrange multipliers. The results were compared with those of rectangular plates. Basically good agreement was obtained. Matching results were reported, and the discrepancies were highlighted. |
| format | Article |
| id | doaj-art-98110ceea96f4b3185c55c436c8cea8a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-98110ceea96f4b3185c55c436c8cea8a2025-02-03T00:59:22ZengWileyShock and Vibration1070-96221875-92032011-01-0118347148410.3233/SAV-2010-0527Free In-Plane Vibration of Super-Elliptical PlatesMurat Altekin0Department of Civil Engineering, Yildiz Technical University, 34210 Esenler, Istanbul, TurkeyFree in-plane vibration of super-elliptical plates of uniform thickness was investigated by the Ritz method. A large variety of plate shapes ranging from an ellipse to a rectangle were examined. Two cases were considered: (1) a completely free, and (2) a point-supported plate. The geometrical boundary conditions were satisfied by the Lagrange multipliers. The results were compared with those of rectangular plates. Basically good agreement was obtained. Matching results were reported, and the discrepancies were highlighted.http://dx.doi.org/10.3233/SAV-2010-0527 |
| spellingShingle | Murat Altekin Free In-Plane Vibration of Super-Elliptical Plates Shock and Vibration |
| title | Free In-Plane Vibration of Super-Elliptical Plates |
| title_full | Free In-Plane Vibration of Super-Elliptical Plates |
| title_fullStr | Free In-Plane Vibration of Super-Elliptical Plates |
| title_full_unstemmed | Free In-Plane Vibration of Super-Elliptical Plates |
| title_short | Free In-Plane Vibration of Super-Elliptical Plates |
| title_sort | free in plane vibration of super elliptical plates |
| url | http://dx.doi.org/10.3233/SAV-2010-0527 |
| work_keys_str_mv | AT murataltekin freeinplanevibrationofsuperellipticalplates |