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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| Veröffentlicht in: | Механика твердого тела |
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| Datum: | 2003 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/123731 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862713867191189504 |
|---|---|
| author | Katica (Stevanovic) Hedrih |
| author_facet | Katica (Stevanovic) Hedrih |
| 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. |
| collection | DSpace DC |
| container_title | Механика твердого тела |
| 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.
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| first_indexed | 2025-12-07T17:46:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-123731 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-1975 |
| language | English |
| last_indexed | 2025-12-07T17:46:58Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Katica (Stevanovic) Hedrih 2017-09-09T06:18:19Z 2017-09-09T06:18:19Z 2003 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 https://nasplib.isofts.kiev.ua/handle/123456789/123731 534.1:534.012:534.013 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. en Інститут прикладної математики і механіки НАН України Механика твердого тела Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems Article published earlier |
| spellingShingle | Frequency equations of small oscillations mixed systems of the coupled discrete and continuous subsystems Katica (Stevanovic) Hedrih |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/123731 |
| work_keys_str_mv | AT katicastevanovichedrih frequencyequationsofsmalloscillationsmixedsystemsofthecoupleddiscreteandcontinuoussubsystems |