摘要
针对碰撞振动系统具有的吸引子共存现象,在不改变原碰撞系统平衡解结构的前提下,采用线性反馈控制方法研究了一类两自由度含弹性约束碰撞振动系统共存吸引子转迁控制问题。建立了两自由度含弹性约束碰撞振动系统的动力学模型,理论推导得到了系统n-1周期运动的存在条件;利用Floquet理论分析了系统的稳定性、分岔及引起吸引子共存的原因;通过设计合理的线性反馈控制器实现了系统共存吸引子的相互转迁;讨论了不同的控制开始状态和控制参数对控制性能的影响。仿真结果表明,所应用的线性反馈控制方法能有效控制此类非光滑碰撞振动系统共存吸引子之间的相互转迁。
In the premise of not changing periodic solutions to the original system and with considering multiple coexistent attractor in the vibro-impact system,attractor migration control of a two-degree-of-freedom vibro-impact system with soft constraints is studied by using the linear feedback control method.Firstly,the two-degree-of-freedom vibro-impact system with soft constraints is established,the existing condition of the periodic impact motion is deduced.The stability,bifurcation and the cause of the multiple coexistent attractor of the system are analyzed by Floquet theory.Then,the numerical experiments verify that a reasonable linear feedback control method can effectively control the migration of different attractors in such non-smooth vibro-impact systems.Finally,the influence of different control positions and parameters on the control performance is discussed.
作者
李得洋
丁旺才
丁杰
卫晓娟
LI De-yang;DING Wang-cai;DING Jie;WEI Xiao-juan(School of Materials Science and Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2021年第1期176-184,共9页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(11962013,11732014,51665027)
兰州交通大学青年科学基金资助项目(2017013)
甘肃省高等学校创新能力提升项目(2019B‐059)。
关键词
非线性振动
非光滑系统
吸引子共存
线性反馈控制
分岔
nonlineer vibration
nonsmooth systems
multiple coexistent attractor
linear feedback control
bifurcation
