Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems

Luo Shaokai; Guo Yongxin; Mei Fengxiang

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(9): 779-783

Luo Shaokai, Guo Yongxin, Mei Fengxiang. Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(9): 779-783.

Citation:

Luo Shaokai, Guo Yongxin, Mei Fengxiang. Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(9): 779-783.

Citation:

Luo Shaokai, Guo Yongxin, Mei Fengxiang. Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(9): 779-783.

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Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems

1.
Shangqiu Teachers College, Shangqiu, Henan 476000, P.R.China;
2.
Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P.R.China

Received Date: 1997-02-17
Publish Date: 1998-09-15

Abstract

Abstract

The geodesic characteristic of equations of motion for nonautonomous constrained mechanical systems is studied in the modern setting of global differential geometry.A necessary and sufficient condition for the dynamical flow of nonautonomous mechanical system with geodesic characteristic was obtained with respect to a connection on 1-jet bundle.The dynamical flow concerning the non-autonomous case was always of geocesic characteristic with regard to torsionfree connections.Thus the motion of any nonautonomous mechanical system with constraints can be always represented by the motion along the geodesic line of torsion-connection on 1-jet bundle,which is different from the case in an autonomous mechaincal system.
- 1-jet bundle,
- dynamical flow,
- vertical endomorphism,
- connection,
- geodesic

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References(11)

References

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