Bu site altında yer alan tüm kaynaklar Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.
The objective of this paper is to explore the unexplored algebraic representations of the constraint manifolds associated with 4C and 6C spatial closed chains in Lorentzian space. Initially, we establish the structure equations of spatial closed chains by utilizing the structure equations for spatial open chains in Lorentzian space. Subsequently, we employ these structure equations to derive the algebraic expressions defining the constraint manifolds of 4C and 6C spatial closed chains in Lorentzian space, considering factors such as the causal character of the first link and the rotational axis of the cylindrical joint. This study will finalize all algebraic representations of constraint manifolds for spacelike and timelike mechanisms in Lorentzian space.
Keyword: constraint manifold; image space; open and closed chains; split quaternion; structure equation
| Басылманын аты (dc.title) | On constraint manifolds of spatial closed chains in Lorentzian space |
| Автор/лор (dc.contributor.yazarlar) | Buşra Aktaş, Olgun Durmaz, Öznur Aydin |
| Басылманын түрү (dc.type) | Makale |
| Тили (dc.language) | İngilizce |
| Жарыяланган жылы (dc.date.issued) | 2024 |
| Улуттук/Эл аралык (dc.identifier.ulusaluluslararasi) | Uluslararası |
| Булагы (dc.relation.journal) | International Journal of Geometric Methods in Modern Physics |
| Саны (dc.identifier.issue) | Published online: 23 August 2024 |
| ISSN/ISBN (dc.identifier.issn) | ISSN: 0219-8878; Online ISSN: 1793-6977 |
| Басмаканасы (dc.publisher) | World Scientific, Singapore |
| Маалымат базалар (dc.contributor.veritaban) | Web of Science Core Collection |
| Маалымат базалар (dc.contributor.veritaban) | World Scientific |
| Маалымат базалар (dc.contributor.veritaban) | Scopus |
| Индекс түрү (dc.identifier.index) | SCI Expanded |
| Индекс түрү (dc.identifier.index) | Scopus |
| Импакт-фактору (dc.identifier.etkifaktoru) | 2,1 / 2023-WOS / Son 5 yıl: 1,8 |
| Қысқаша (dc.description.abstract) | The objective of this paper is to explore the unexplored algebraic representations of the constraint manifolds associated with 4C and 6C spatial closed chains in Lorentzian space. Initially, we establish the structure equations of spatial closed chains by utilizing the structure equations for spatial open chains in Lorentzian space. Subsequently, we employ these structure equations to derive the algebraic expressions defining the constraint manifolds of 4C and 6C spatial closed chains in Lorentzian space, considering factors such as the causal character of the first link and the rotational axis of the cylindrical joint. This study will finalize all algebraic representations of constraint manifolds for spacelike and timelike mechanisms in Lorentzian space. |
| Қысқаша (dc.description.abstract) | Keyword: constraint manifold; image space; open and closed chains; split quaternion; structure equation |
| URL (dc.rights) | https://www.worldscientific.com/doi/10.1142/S0219887824502773 |
| DOI (dc.identifier.doi) | 10.1142/S0219887824502773 |
| Факультет / Институт (dc.identifier.fakulte) | Fen Fakültesi |
| Бөлүмү (dc.identifier.bolum) | Matematik Bölümü |
| Мекемедеги автор(лор) (dc.contributor.author) | Olgun DURMAZ |
| Каттоо № (dc.identifier.kayitno) | BLB1BE08A6 |
| Каттоо киргизүү датасы (dc.date.available) | 2024-09-04 |
| Эскертме (Жарыяланган жылы) (dc.identifier.notyayinyili) | Scopus Early Access: AUG 2024 |
| Wos No (dc.identifier.wos) | WOS:001306483100001 |
| Предметтик рубрикатор (dc.subject) | constraint manifold |
| Предметтик рубрикатор (dc.subject) | image space |
| Предметтик рубрикатор (dc.subject) | open and closed chains |
| Предметтик рубрикатор (dc.subject) | split quaternion |
| Предметтик рубрикатор (dc.subject) | structure equation |