Stabilization for the Parametric Resonance of a Magnetically Levitated Body.
Stabilization for the Parametric Resonance of a Magnetically Levitated Body.
复制标题
磁悬浮体参数共振的稳定。
DOI：
10.1299/kikaic.65.916
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
N. Aoshima
中科院分区：
文献类型：
--
作者：
H. Yabuno;H. Sakai;N. Aoshima
研究了周期变化磁场力作用下磁悬浮体参数共振的镇定问题。一个钟摆，这是根据建议的分岔控制驱动，是连接到身体。利用多尺度法分析了该控制系统的动力学行为，并从振幅方程出发推导出了分岔集。通过分岔控制，分岔集，即，不稳定区域被移动并且参数共振被稳定。此外，它是实验验证的参数共振下，上述控制方案是稳定的。还阐明了这种镇定对通过参数共振是有效的。
This paper is devoted to the study of a stabilization for the parametric resonance of a magnetically levirated body subjected to periodically varying magnetic force. A pendulum, which is actuated under a proposed bifurcation control, is attached to the body. The dynamics of this control system is analyzed using the method of multiple scales, and the bifurcation set is derived from the amplitude equation. By the bifurcation control, the bifurcation set, i.e., the unstable region, is shifted and the parametric resonance is stabilized. Furthermore, it is experimentally verified that the parametric resonance is stabilized under the above control scheme. It is also clarified that this stabilization is effective on the passage through parametric resonance.