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

被引：0

作者：

Shaokai L. ^{[1
]}

Yongxin G. ^{[2
]}

Fengxiang M. ^{[2
]}

机构：

[1] Shangqiu Teachers College

[2] Department of Applied Mechanics, Peking Institute of Technology

来源：

Applied Mathematics and Mechanics | 1998年 / 19卷 / 9期

关键词：

1-jet bundle; Connection; Dynamical flow; Geodesic; Vertical endomorphism;

D O I：

10.1007/BF02458238

中图分类号：

学科分类号：

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 on l-jet bundle. The dynamical flow concerning the non-autonomous case was always of geodesic characteristic with regard to torsion-free connections. Thus the motion of any nonautonomous mechanical system with constraints can be always represented by the motion along the geodesic line of torsion-free connection on I-jet bundle, which is different from the case in an autonomous mechaincal system.

引用

页码：837 / 842

页数：5

共 12 条

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