Flutter of a Membrane in a Stagnation Flow
An analytical solution is given to investigate the vibrations of a membrane under the effect of an incoming fluid flow perpendicular to it. The membrane is located at the stagnation point of the flow and is of finite width but infinite length. A rigid wall extends through the finite width of the mem...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2019-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=49193&issue_ID=256 |
| _version_ | 1818807671241834496 |
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| author | S. Kapkin M. S. Demir M. O. Kaya E. Uzal |
| author_facet | S. Kapkin M. S. Demir M. O. Kaya E. Uzal |
| author_sort | S. Kapkin |
| collection | DOAJ |
| description | An analytical solution is given to investigate the vibrations of a membrane under the effect of an incoming fluid flow perpendicular to it. The membrane is located at the stagnation point of the flow and is of finite width but infinite length. A rigid wall extends through the finite width of the membrane to infinity. The flow is considered to be a small perturbation on the two dimensional potential stagnation flow solution due to the vibrations of the membrane, and the membrane is modeled by the linear vibration equation. The resulting coupled problem is solved by a Galerkin procedure and the eigenvalue equation relating the membrane frequency to the other parameters is derived. |
| first_indexed | 2024-12-18T19:29:22Z |
| format | Article |
| id | doaj.art-b80b19cd15974832a61131eb28932c02 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-18T19:29:22Z |
| publishDate | 2019-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-b80b19cd15974832a61131eb28932c022022-12-21T20:55:47ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722019-01-01123981985.Flutter of a Membrane in a Stagnation FlowS. Kapkin0M. S. Demir1M. O. Kaya2E. Uzal3Faculty of Engineering, Istanbul University-Cerrahpasa, Istanbul, 34320, TurkeyFaculty of Engineering, Istanbul University-Cerrahpasa, Istanbul, 34320, TurkeyFaculty of Aeronautics and Astronautics, Istanbul Technical University, Istanbul, 34469, TurkeyFaculty of Engineering, Istanbul University-Cerrahpasa, Istanbul, 34320, TurkeyAn analytical solution is given to investigate the vibrations of a membrane under the effect of an incoming fluid flow perpendicular to it. The membrane is located at the stagnation point of the flow and is of finite width but infinite length. A rigid wall extends through the finite width of the membrane to infinity. The flow is considered to be a small perturbation on the two dimensional potential stagnation flow solution due to the vibrations of the membrane, and the membrane is modeled by the linear vibration equation. The resulting coupled problem is solved by a Galerkin procedure and the eigenvalue equation relating the membrane frequency to the other parameters is derived.http://jafmonline.net/JournalArchive/download?file_ID=49193&issue_ID=256Flutter velocity; Membrane; Stability; Stagnation point flow; Vibration. |
| spellingShingle | S. Kapkin M. S. Demir M. O. Kaya E. Uzal Flutter of a Membrane in a Stagnation Flow Journal of Applied Fluid Mechanics Flutter velocity; Membrane; Stability; Stagnation point flow; Vibration. |
| title | Flutter of a Membrane in a Stagnation Flow |
| title_full | Flutter of a Membrane in a Stagnation Flow |
| title_fullStr | Flutter of a Membrane in a Stagnation Flow |
| title_full_unstemmed | Flutter of a Membrane in a Stagnation Flow |
| title_short | Flutter of a Membrane in a Stagnation Flow |
| title_sort | flutter of a membrane in a stagnation flow |
| topic | Flutter velocity; Membrane; Stability; Stagnation point flow; Vibration. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=49193&issue_ID=256 |
| work_keys_str_mv | AT skapkin flutterofamembraneinastagnationflow AT msdemir flutterofamembraneinastagnationflow AT mokaya flutterofamembraneinastagnationflow AT euzal flutterofamembraneinastagnationflow |