Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators

被引:93
作者
Fredriksson, MH
Nordmark, AB
机构
[1] Department of Mechanics, Royal Institute of Technology
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 453卷 / 1961期
关键词
D O I
10.1098/rspa.1997.0069
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The transition from stable periodic non-impacting motion to impacting motion is analysed for a mechanical oscillator. By using local methods! it is shown that a grazing impact leads to an almost one-dimensional stretching in state space. A condition can then be formulated, such that a grazing trajectory will be stable if the condition is fulfilled. If this is the case, the bifurcation will be continuous and the motion after the bifurcation can be understood by a one-dimensional mapping. This mapping is known to exhibit chaotic solutions as well as arbitrary long stable cycles, depending on parameters.
引用
收藏
页码:1261 / 1276
页数:16
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