中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2446-2450.doi: 10.1088/1674-1056/17/7/018

• GENERAL • 上一篇    下一篇

Dynamical behaviour of a controlled vibro-impact system

王亮, 徐伟, 李颖   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2007-11-13 修回日期:2007-12-21 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10472091).

Dynamical behaviour of a controlled vibro-impact system

Wang Liang(王亮)†, Xu Wei(徐伟), and Li Ying(李颖)   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2007-11-13 Revised:2007-12-21 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10472091).

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摘要： In this paper, we give a controlled two-degree-of-freedom (TDOF) vibro-impact system based on the damping control law, and then investigate the dynamical behaviour of this system. According to numerical simulation, we find that this control scheme can suppress chaos to periodic orbit successfully. Furthermore, the feasibility and the robustness of the controller are confirmed, separately. We also find that this scheme cannot only suppress chaos, but also generate chaos in this system.

Abstract: In this paper, we give a controlled two-degree-of-freedom (TDOF) vibro-impact system based on the damping control law, and then investigate the dynamical behaviour of this system. According to numerical simulation, we find that this control scheme can suppress chaos to periodic orbit successfully. Furthermore, the feasibility and the robustness of the controller are confirmed, separately. We also find that this scheme cannot only suppress chaos, but also generate chaos in this system.

Key words: damping control law, chaos, two-degree-of-freedom (TDOF), vibro-impact system

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)