Existence of invariant curves for a Fermi-type impact absorber

被引：0
作者：
Zhenbang Cao
Xiaoming Zhang
Denghui Li
Shan Yin
Jianhua Xie
机构：
[1] Southwest Jiaotong University,School of Mechanics and Engineering
[2] Hexi University,School of Mathematics and Statistics
[3] Hunan University,State Key Laboratory of Advanced Design and Manufacture for Vehicle Body
来源：
Nonlinear Dynamics | 2020年 / 99卷
关键词：
Impact absorber; Moser’s twist theorem; Invariant curves; Symmetry;
D O I：
暂无
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学科分类号：
摘要：
In this paper we study an impact absorber which is similar to the Fermi accelerator and can be described as a ball moves in a periodically oscillating ring with a wall and reflects elastically from the wall. First, Poincaré map of the system is established. The existence of invariant curves for the map is proved based on Moser’s twist theorem. Accordingly, the velocities of the ball are always bounded for any initial motion for all time. Moreover, the symmetry of the Poincaré map is discussed. Finally, some numerical simulations are given to demonstrate the theoretical results.
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页码：2647 / 2656
页数：9
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