Dynamics of a SDOF nonlinear vibration system with delayed feedback

被引：0
|
作者：
Wang, HL [1 ]
Hu, HY [1 ]
Wang, ZH [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Inst Vibrat Engn Res, Nanjing 210016, Peoples R China
来源：
PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING | 2002年
关键词：
delay differential equation; Hopf bifurcation; quasi-periodic solution; chaos;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents ea detailed study of dynamics of a SDOF nonlinear vibration system with displacement feedback. At first, formulae of computing critical time delay values, for which the equilibrium of system may change its stability,. are presented according to different. combinations of system. parameters and feedback gain. Then,, to, show the effect of delayed feedback and nonlinearity on the system dynamics, the mechanisms of which have not been revealed completely by now, large numerical results are given out. It can be seen that with the delay varying from zero to infinity, the nontrivial solution of system will-undergo the state of periodic, quasi-periodic and finally chaos, which is the classical route to lead to chaos.
引用
收藏
页码：454 / 459
页数：6
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