Vibration suppression in a two-degree of freedom vibration system using delayed feedback control
The delayed feedback control is applied to suppress the vibration of vertical displacement in a nonlinear vibration system with external excitation. The method of multiple scales is employed to obtain its amplitude-delay response curves when the primary resonance and 1:1 internal resonance occur simultaneously. The results show that, for a fixed gain, the vibration can be suppressed at some values of the delay. The maximum vibration suppression points may be predicted from the amplitude-delay response curves for different gains. The vertical vibration could be suppressed about 86% by using delayed feedback control. However, for some fixed gains, the vibration suppression is invalid at some values of the delay where the dynamical behavior of the system becomes complex. All the analytical prediction of the paper is in good agreement with numerical simulation.
Yan-ying Zhao Jian Xu
School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1452-1456
2007-06-11(万方平台首次上网日期,不代表论文的发表时间)