Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems
In this paper, by using examples of mixed systems of the coupled discrete subsystem of rigid bodies and continuous subsystem, the method of obtaining; of small oscillations frequency equations are presented. Small oscillations frequency equations of coupled deformable body and holonomic conservative...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2003 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Механика твердого тела |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/123731 |
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| Цитувати: | Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems / Katica (Stevanovic) Hedrih // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 174-189. — Бібліогр.: 29 назв. — рос. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-123731 |
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dspace |
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irk-123456789-1237312017-09-10T03:03:30Z Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems Katica (Stevanovic) Hedrih In this paper, by using examples of mixed systems of the coupled discrete subsystem of rigid bodies and continuous subsystem, the method of obtaining; of small oscillations frequency equations are presented. Small oscillations frequency equations of coupled deformable body and holonomic conservative systems are obtained. By using numerical experiment connections between own small oscillations circular frequencies of the mixed system and subsystem of the rigid bodies and deformable body are studied and analyzed. By using MathCAD program graphical presentations of a set of small oscillations circular frequencies of the deformable body with "perturbations"caused on interaction of subsystem small oscillations of rigid bodies. By using examples, analogy between frequency equations of some classes of these systems is identified. Special cases of discretization and continualization of coupled subsystems with corresponding sets of proper circular frequencies and frequency equations of small oscillations are analyzed. 2003 Article Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems / Katica (Stevanovic) Hedrih // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 174-189. — Бібліогр.: 29 назв. — рос. 0321-1975 http://dspace.nbuv.gov.ua/handle/123456789/123731 534.1:534.012:534.013 en Механика твердого тела Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, by using examples of mixed systems of the coupled discrete subsystem of rigid bodies and continuous subsystem, the method of obtaining; of small oscillations frequency equations are presented. Small oscillations frequency equations of coupled deformable body and holonomic conservative systems are obtained. By using numerical experiment connections between own small oscillations circular frequencies of the mixed system and subsystem of the rigid bodies and deformable body are studied and analyzed. By using MathCAD program graphical presentations of a set of small oscillations circular frequencies of the deformable body with "perturbations"caused on interaction of subsystem small oscillations of rigid bodies. By using examples, analogy between frequency equations of some classes of these systems is identified. Special cases of discretization and continualization of coupled subsystems with corresponding sets of proper circular frequencies and frequency equations of small oscillations are analyzed. |
| format |
Article |
| author |
Katica (Stevanovic) Hedrih |
| spellingShingle |
Katica (Stevanovic) Hedrih Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems Механика твердого тела |
| author_facet |
Katica (Stevanovic) Hedrih |
| author_sort |
Katica (Stevanovic) Hedrih |
| title |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| title_short |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| title_full |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| title_fullStr |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| title_full_unstemmed |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| title_sort |
frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/123731 |
| citation_txt |
Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems / Katica (Stevanovic) Hedrih // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 174-189. — Бібліогр.: 29 назв. — рос. |
| series |
Механика твердого тела |
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2023-10-18T20:44:49Z |
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2023-10-18T20:44:49Z |
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