On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems
Considered are so-called finite-dimensional flutter systems, i.e. systems of ordinary differential equations, arising from Galerkin approximations of certain boundary value problems of aeroelasticity theory as well as from a number of radiophysics applications. We study small oscillations of these e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2014-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/125 |
| _version_ | 1797877932166742016 |
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| author | S. D. Glyzin A. Yu. Kolesov N. Kh. Rozov |
| author_facet | S. D. Glyzin A. Yu. Kolesov N. Kh. Rozov |
| author_sort | S. D. Glyzin |
| collection | DOAJ |
| description | Considered are so-called finite-dimensional flutter systems, i.e. systems of ordinary differential equations, arising from Galerkin approximations of certain boundary value problems of aeroelasticity theory as well as from a number of radiophysics applications. We study small oscillations of these equations in case of 1 : 3 resonance. By combining analytical and numerical methods, it is concluded that the mentioned resonance can cause a hard excitation of oscillations. Namely, for flutter systems shown is the possibility of coexistence, along with the stable zero state, of stable invariant tori of arbitrary finite dimension as well as chaotic attractors. |
| first_indexed | 2024-04-10T02:24:38Z |
| format | Article |
| id | doaj.art-27474e0ca72d4996a0230a07ee46da60 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:24:38Z |
| publishDate | 2014-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-27474e0ca72d4996a0230a07ee46da602023-03-13T08:07:32ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172014-02-01211324410.18255/1818-1015-2014-1-32-44119On One Means of Hard Excitation of Oscillations in Nonlinear Flutter SystemsS. D. Glyzin0A. Yu. Kolesov1N. Kh. Rozov2Ярославский государственный университет им. П.Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваМосковский государственный университет им. М. В. ЛомоносоваConsidered are so-called finite-dimensional flutter systems, i.e. systems of ordinary differential equations, arising from Galerkin approximations of certain boundary value problems of aeroelasticity theory as well as from a number of radiophysics applications. We study small oscillations of these equations in case of 1 : 3 resonance. By combining analytical and numerical methods, it is concluded that the mentioned resonance can cause a hard excitation of oscillations. Namely, for flutter systems shown is the possibility of coexistence, along with the stable zero state, of stable invariant tori of arbitrary finite dimension as well as chaotic attractors.https://www.mais-journal.ru/jour/article/view/125нелинейные флаттерные системыпараметрическое внешнее воздействиежесткое возбуждение колебанийинвариантный торхаос |
| spellingShingle | S. D. Glyzin A. Yu. Kolesov N. Kh. Rozov On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems Моделирование и анализ информационных систем нелинейные флаттерные системы параметрическое внешнее воздействие жесткое возбуждение колебаний инвариантный тор хаос |
| title | On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems |
| title_full | On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems |
| title_fullStr | On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems |
| title_full_unstemmed | On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems |
| title_short | On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems |
| title_sort | on one means of hard excitation of oscillations in nonlinear flutter systems |
| topic | нелинейные флаттерные системы параметрическое внешнее воздействие жесткое возбуждение колебаний инвариантный тор хаос |
| url | https://www.mais-journal.ru/jour/article/view/125 |
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