[1]魏艳辉,李群宏,徐洁琼,等.两自由度碰撞振动系统的动力学分析[J].南京师范大学学报(工程技术版),2007,07(01):085-92.
 Wei Yanhui,Li Qunhong,Xu Jieqiong,et al.Dynamic Analysis of Two-Degree-of-Freedom Vibro-Impact Systems[J].Journal of Nanjing Normal University(Engineering and Technology),2007,07(01):085-92.
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两自由度碰撞振动系统的动力学分析
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
07卷
期数:
2007年01期
页码:
085-92
栏目:
出版日期:
2007-03-30

文章信息/Info

Title:
Dynamic Analysis of Two-Degree-of-Freedom Vibro-Impact Systems
作者:
魏艳辉1 李群宏1 徐洁琼1 陆启韶2
1. 广西大学数学与信息科学学院, 广西南宁530004; 2. 北京航空航天大学理学院, 北京100083
Author(s):
Wei Yanhui1Li Qunhong1Xu Jieqiong1Lu Qishao2
1.College of Mathematics and Information Science,Guangxi University,Nanning 530004,China;2.School of Science,Beijing University of Aeronautics and Astronautics,Beijing 100083,China
关键词:
碰撞振动 周期运动 Poincaré映射 稳定性 全局分岔
Keywords:
v ib ro- im pact period icm otion Po incarÜ m ap stab ility g lobal b ifurcation
分类号:
O313.4
摘要:
基于Poincaré映射的方法,通过解析的方法导出了一类具有阻尼的两自由度碰撞振动系统的单碰周期n次谐运动存在性判据,经过数值模拟验证了理论分析的正确性,并给出了分析其稳定性的判别公式,通过数值模拟,讨论系统的局部分岔与全局分岔,同时比较了系统参数变化对其周期运动的影响,发现在强阻尼、弱激励、小质量比、较大恢复系数下系统将会出现较多的有规律的周期碰撞.
Abstract:
The v ibro- im pac t system s are fam iliarw ith the non-sm ooth dynam ic system s. The dynam ics research of the vibro- im pac t system s not on ly is s ignificant in theo ry but a lso has practica l va lues in eng inee ring. F irstly, using the Po incarÜ map m ethod, w e get an ex istent crite rion of sing le im pact per iod-n mo tion in a tw o-degree-o-f freedom v ibroimpact sy stem w ith dam per. It is shown that our conclus ions are valid through the nume rica l sim ulations. M oreove r, the satiab ility o f per iod icm o tions is stud ied and the correspond ing Jacob ian m atrix form ula is der ived. F ina lly we debate the e ffect o f system param eters on per iod icm o tions exp lo iting the nume rical sim ulations me thod, the local bifurcation and g loba l b ifurcation, and the influence o f the change o f param ete rs in the system on its periodicm otion, and find tha t the v ibro- im pact system s appear m ore d isciplinary per iod ic impact under strong damp ing, feeble harm onic ex citation, sm all ra tio o f qua lity and quite big coeffic ient o f restitution.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10461001)、广西自然科学基金( 0640002)和广西研究生教育创新计划( 2006105930701M 16 )资助项目.
作者简介: 魏艳辉( 1980-) , 女, 硕士研究生, 主要从事非线性动力学方向的学习与研究. E-m ail:w yh801126@ sina. com
通讯联系人: 李群宏( 1964-) , 教授, 博士, 主要从事微分动力系统分岔理论的教学与研究. E-m ial: lqunhsec@ s ina. com
更新日期/Last Update: 2013-04-29