A new form of equations for rigid body rotational dynamics
Апстракт
In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered.
Кључне речи:
rotational motion / rigid body / modified Rodriguez-Hamilton parameters / dynamicsИзвор:
Tehnički vjesnik, 2014, 21, 6, 1221-1227Издавач:
- Strojarski Facultet
Финансирање / пројекти:
- Russian Foundation for Basic Research [13-01-00347-a, 13-01-00376-a
- Нове информационе технологије за аналитичко одлучивање базиране на организацији експеримента и опсервацији и њихова примена у биолошким, економским и социолошким системима (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44007)
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Tikhonov, Alexey A. AU - Dolicanin, Cemal AU - Partalin, Todor A. AU - Aranđelović, Ivan PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1952 AB - In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered. PB - Strojarski Facultet T2 - Tehnički vjesnik T1 - A new form of equations for rigid body rotational dynamics EP - 1227 IS - 6 SP - 1221 VL - 21 UR - https://hdl.handle.net/21.15107/rcub_machinery_1952 ER -
@article{ author = "Tikhonov, Alexey A. and Dolicanin, Cemal and Partalin, Todor A. and Aranđelović, Ivan", year = "2014", abstract = "In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered.", publisher = "Strojarski Facultet", journal = "Tehnički vjesnik", title = "A new form of equations for rigid body rotational dynamics", pages = "1227-1221", number = "6", volume = "21", url = "https://hdl.handle.net/21.15107/rcub_machinery_1952" }
Tikhonov, A. A., Dolicanin, C., Partalin, T. A.,& Aranđelović, I.. (2014). A new form of equations for rigid body rotational dynamics. in Tehnički vjesnik Strojarski Facultet., 21(6), 1221-1227. https://hdl.handle.net/21.15107/rcub_machinery_1952
Tikhonov AA, Dolicanin C, Partalin TA, Aranđelović I. A new form of equations for rigid body rotational dynamics. in Tehnički vjesnik. 2014;21(6):1221-1227. https://hdl.handle.net/21.15107/rcub_machinery_1952 .
Tikhonov, Alexey A., Dolicanin, Cemal, Partalin, Todor A., Aranđelović, Ivan, "A new form of equations for rigid body rotational dynamics" in Tehnički vjesnik, 21, no. 6 (2014):1221-1227, https://hdl.handle.net/21.15107/rcub_machinery_1952 .