Brachistochrones as minimum-time paths for bobsleigh runs

被引：0
|
作者：
Maisser, P [1 ]
机构：
[1] TU Chemnitz, Inst Mechatron EV, D-09126 Chemnitz, Germany
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1998年 / 78卷 / 05期
关键词：
D O I：
10.1002/(SICI)1521-4001(199805)78:5<311::AID-ZAMM311>3.0.CO;2-I
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bobsled move on trades with a known geometry, i.e. with a given cross-sectional shape, turn angle, and elevation drop. The problem is to find the time-shortest path through a turn. To investigate this problem the classical brachistochrone problem is generalized to arbitrarily twofold curved surfaces in the 3-dimensional Euclidean space. The corresponding equation of a minimum time path involves two other special extremals: the geodesics and the Jacobi geodesics.
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页码：311 / 319
页数：9
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