Resonances in the problem of the panel flutter in a supersonic gas flow
The paper deals with a linear formulation of the problem of plane vibrations in a supersonic gas flow. Fluctuations of the plane are studied in the case when one of its ends is rigidly fixed, while the second is free. The flow rate is found for which internal resonance eigenfrequencies 1:1, 1:2, 1:3...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-03-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1076 |
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| _version_ | 1839573262301921280 |
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| author | A. N. Kulikov G. V. Pilipenko |
| author_facet | A. N. Kulikov G. V. Pilipenko |
| author_sort | A. N. Kulikov |
| collection | DOAJ |
| description | The paper deals with a linear formulation of the problem of plane vibrations in a supersonic gas flow. Fluctuations of the plane are studied in the case when one of its ends is rigidly fixed, while the second is free. The flow rate is found for which internal resonance eigenfrequencies 1:1, 1:2, 1:3 are implemented. The determination of the speed and the corresponding frequency is reduced to the system of two transcendental equations. The system is numerically studied. |
| format | Article |
| id | doaj-art-6dbaf23e5b534e24a90e1eb579d6a12c |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-6dbaf23e5b534e24a90e1eb579d6a12c2025-08-04T14:06:39ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-011815667817Resonances in the problem of the panel flutter in a supersonic gas flowA. N. Kulikov0G. V. Pilipenko1Ярославский государственный университет им. П.Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваThe paper deals with a linear formulation of the problem of plane vibrations in a supersonic gas flow. Fluctuations of the plane are studied in the case when one of its ends is rigidly fixed, while the second is free. The flow rate is found for which internal resonance eigenfrequencies 1:1, 1:2, 1:3 are implemented. The determination of the speed and the corresponding frequency is reduced to the system of two transcendental equations. The system is numerically studied.https://www.mais-journal.ru/jour/article/view/1076internal resonanceboundary value problemdifferential operatorlower flutter speed |
| spellingShingle | A. N. Kulikov G. V. Pilipenko Resonances in the problem of the panel flutter in a supersonic gas flow Моделирование и анализ информационных систем internal resonance boundary value problem differential operator lower flutter speed |
| title | Resonances in the problem of the panel flutter in a supersonic gas flow |
| title_full | Resonances in the problem of the panel flutter in a supersonic gas flow |
| title_fullStr | Resonances in the problem of the panel flutter in a supersonic gas flow |
| title_full_unstemmed | Resonances in the problem of the panel flutter in a supersonic gas flow |
| title_short | Resonances in the problem of the panel flutter in a supersonic gas flow |
| title_sort | resonances in the problem of the panel flutter in a supersonic gas flow |
| topic | internal resonance boundary value problem differential operator lower flutter speed |
| url | https://www.mais-journal.ru/jour/article/view/1076 |
| work_keys_str_mv | AT ankulikov resonancesintheproblemofthepanelflutterinasupersonicgasflow AT gvpilipenko resonancesintheproblemofthepanelflutterinasupersonicgasflow |