Discrete-in-time feedback control of near-grazing dynamics in the two-degree-of-freedom vibro-impact system with a clearance

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• 作者：Huidong Xu ; Shan Yin ; Guilin Wen ; Sijin Zhang ; Zengyao Lv
• 关键词：Vibro ; impact system ; Grazing bifurcation ; Discontinuity mapping ; Stability ; Bifurcation control
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：87
• 期：2
• 页码：1127-1137
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

Grazing bifurcation might bring dramatic and abrupt qualitative changes of system responses in non-smooth systems. The control problem of near-grazing dynamics in a two-degree-of-freedom vibro-impact system with a clearance is addressed in this paper. The discontinuity mapping is built to derive a normal form map near the grazing point. Based on the stability criterion of grazing orbit formulated through the normal form map, a discrete-in-time feedback method is developed to control the stability of grazing orbit in the vibro-impact system. Numerical simulations reveal a discontinuous grazing bifurcation with a jump between the transitions of periodic motions and show the feasibility of the proposed control strategy.