- Tytuł:
- Comparison of long time simulation of Hamilton and Lagrange geometry dynamical models of a multibody system
- Autorzy:
-
Bai, Long
Ge, Xinsheng
Xia, Lili - Powiązania:
- https://bibliotekanauki.pl/articles/2200827.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
double pendulum
Lie group
double spherical space
Lagrange
Hamilton equations - Opis:
- The geometry dynamical modeling method for a double pendulum is explored with the Lie group and a double spherical space method. Four types of Lagrange equations are built for relative and absolute motion with the above two geometry methods, which are then used to explore the influence of different expressions for motion on the dynamic modeling and computations. With Legendre transformation, the Lagrange equations are transformed to Hamilton ones which are dynamical models greatly reduced. The models are solved by the same numerical method. The simulation results show that they are better for the relative group than for the absolute one in long time simulation with the same numerical computations. The Lie group based result is better than the double spherical space one.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2022, 60, 4; 687--704
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł