Dynamics of a ball bouncing on a rough inclined line

被引:16
作者
Valance, A [1 ]
Bideau, D [1 ]
机构
[1] Univ Rennes 1, Grp Mat Condensee & Mat, UMR 6626, F-35042 Rennes, France
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 02期
关键词
D O I
10.1103/PhysRevE.57.1886
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present here a simple theoretical model that describes the motion of ball bouncing on a rough inclined line. The rough line consists of microfacets whose orientation can be different from the line inclination. We examine the behavior of the ball as a function of the orientation of the microfacets and determine the conditions under which the jumps of the ball are decreasing or increasing in their amplitude. In particular we show that when the facet inclination varies along the line with a well-defined spatial periodicity the ball can reach a steady bouncing regime that leads ultimately to chaotic behavior via a period-doubling scenario. Furthermore, we find that the presence of noise associated with facet inclination destroys the structure of the chaotic regime. [S1063-651X(98)02202-8].
引用
收藏
页码:1886 / 1894
页数:9
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