Generic behavior of grazing impact oscillators

被引：49

作者：

deWeger, J ^{[1
]}

Binks, D ^{[1
]}

Molenaar, J ^{[1
]}

vandeWater, W ^{[1
]}

机构：

[1] EINDHOVEN UNIV TECHNOL,DEPT MATH,5600 MB EINDHOVEN,NETHERLANDS

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.76.3951

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give experimental evidence for a new bifurcation structure that arises when smooth dynamical systems cross a boundary. Our experiment concerns a driven impacting leaf-spring oscillator with a very precise control of the driving amplitude. The results are in surprisingly good agreement with the predictions of a simple nonlinear mapping that is valid near grazing impact (i.e., impact with zero velocity). The agreement is surprising because a multitude of vibration modes of the spring is excited upon impact whereas the mapping is two dimensional. These findings point to the universality of the observed bifurcation structure.

引用

页码：3951 / 3954

页数：4

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