[1]王小斌,周 鹏,黄 剑.一类单自由度碰撞振动系统的颤振分析[J].温州大学学报(自然科学版),2014,(02):015-21.
 WANG Xiaobin,ZHOU Peng,HUANG Jian.Chattering Analysis of a Vibrating System with Single Degree of Freedom[J].Journal of Wenzhou University,2014,(02):015-21.
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一类单自由度碰撞振动系统的颤振分析
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《温州大学学报》(自然科学版)[ISSN:1674-3563/CN:33-1344/N]

卷:
期数:
2014年02期
页码:
015-21
栏目:
物理与电子科学
出版日期:
2014-05-25

文章信息/Info

Title:
Chattering Analysis of a Vibrating System with Single Degree of Freedom
作者:
王小斌1周 鹏2黄 剑1
1.数理与软件工程学院;2.机电工程学院,兰州交通大学,甘肃兰州 730070
Author(s):
WANG Xiaobin1 ZHOU Peng2 HUANG Jian1
1. School of Mathematics, Physics and Software Engineering; 2. School of Mechanic Engineering, Lanzhou Jiaotong University, Lanzhou, China 730070
关键词:
碰撞颤振慧尾映射数值仿真
Keywords:
Impact Chatter Tail Map Numerical Simulation
分类号:
O325
文献标志码:
A
摘要:
研究了一类单自由度碰撞振动系统的颤振运动,运用理论推导的方法找到了其颤振完成点及颤振时间,并针对该碰撞系统中的颤振导致的碰撞问题,借助慧尾映射找到了一种有效的研究该碰撞系统中颤振现象的数值方法.利用数值仿真的方法揭示了系统中的完全颤振和不完全颤振现象.
Abstract:
Chattering of a kind of impact oscillator system with single degree of freedom is studied. The chattering duration and the chattering complete point have been theoretically derived. Aimed at the impact problem caused by flutter in the collision system and by using the tail mapping technique, a numerical method has been found out to effectively study the chattering phenomena. Numerical simulation has also been applied to investigate the complete and incomplete chattering behaviors.

参考文献/References:

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[2] Nordmark A B. Universal limit mapping in grazing bifurcations [J]. Physical Review E, 1997, 55(1): 266-270.
[3] Chin W, Ott E, Nusse H E, et al. Universal behaviour of impact oscillators near grazing incidence [J]. Physics Letters A, 1995, 201: 197-204.
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[5] 李群宏, 陆启韶. 一类双自由度碰振系统运动分析[J]. 力学学报, 2001, 33(6): 776-786.
[6] Fredriksson M H, Nordmark A B. Bifurcations caused by grazing incidence in many degree of freedom impact oscillators [J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 1997, 453: 1261-1276.
[7] Nordmark A B, Piiroinen P T. Simulation and stability analysis of impacting systems with complete chattering [J]. Nonlinear Dynamics, 2009, 58: 85-106.
[8] 冯进钤, 徐伟, 牛玉俊. Duffing单边碰撞系统的颤振分岔[J]. 物理学报, 2010, 59(1): 157-162.

备注/Memo

备注/Memo:
收稿日期:2013-12-04
作者简介:王小斌(1985- ),男,甘肃秦安人,硕士研究生,研究方向:非线性与动力系统
更新日期/Last Update: 2014-05-25