Hopf Bifurcation Control for Some Nonlinear Torsional Vibration System with Delayed Feedbacks
Torsional vibration generally causes serious instability and great damage in many rotating machinery. Hopf bifurcation control for some nonlinear torsional vibration system with delayed feedbacks is investigated. On the basis of the generalized dissipation Lagrange’s equation, the dynamics equation of nonlinear torsional vibration system is established, and a nonlinear time-delayed feedback controller is proposed. Under the condition of primary resonance, perturbation analysis of the controlled system is carried out with the method of multiple scales. The influence of time delays on Hopf bifurcation and limit cycle in torsional vibration system is studied. The stability conditions and amplitude formula of limit cycle are given. Finally, numerical simulations are performed to verify the analytical results. The conclusion can provide theoretical reference for further research on more complexed mechanical drive system.
torsional vibration time delays feedback Hopf bifurcation limit cycle
ZHANG Wenming WANG Bohua LI Haibin HE Minjia LIU Shuang
Key Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangda Liren College of Yanshan University, Qinhuangdao 066004, China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
402-407
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）