Connections and geodesic characteristic of equations of motion for constrained mechanical systems

被引：0

作者：

Luo, SK ^{[1
]}

Guo, YX

Mei, FX

机构：

[1] Shangqui Teachers Coll, Shanghai 476000, Peoples R China

[2] Peking Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1998年 / 19卷 / 09期

关键词：

1-jet bundle; dynamical flow; vertical endomorphism; connection; geodesic;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 a nonautonomous mechanical system with geodesic characteristic was obtained with respect to a connection of 1-jet bundle. The dynamical flow concerning the non-autonomous case motion of an nonautonomous mechanical system with constraints can be always represented by the motion along the geodesic line of torsion-free connection on 1-jet bundle, which is different from the case in an autonomous mechanical system.

引用

页码：837 / 842

页数：6

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