时滞立方位移反馈控制的高静低动刚度隔振器动力学分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (13) : 110-115.

论文

程春，李舜酩，王勇，江星星

作者信息 +

Dynamic analysis of a high-static-low-dynamic stiffness vibration isolator with time delayed cubic displacement feedback

Cheng Chun, Li Shunming, Wang Yong, Jiang Xingxing

Author information +

文章历史 +

摘要

为了克服增加线性阻尼能够抑制共振但会导致隔振系统高频性能变差的矛盾，提出时滞立方位移反馈控制策略。首先建立反馈控制的高静低动刚度隔振器动力学方程，采用多尺度法得到控制系统的稳态响应。其次分析反馈增益与滞后时间对控制系统动态特性的影响，并分析不同滞后时间下稳态响应的稳定性。最后定义控制系统的位移传递率，分析反馈参数对系统位移传递率的影响并和被动隔振系统的性能进行比较。结果表明：合适的反馈参数能够有效减小隔振系统共振区的位移传递率，却不影响高频区域的隔振性能；该控制策略对改善高静低动刚度隔振器的隔振性能具有理论指导意义。

Abstract

In order to overcome the dilemma that increasing the linear damping can suppress the resonance but makes the vibration isolation performance in high frequencies worse, the cubic displacement feedback with time delay is proposed in this paper. The dynamic equation of the high-static-low-dynamic stiffness (HSLDS) vibration isolator with feedback control is first built. And the steady-state response of the controlled system is obtained using the multiple scales method. Then, the effect of feedback gain and time delay on the dynamic characteristics of the controlled system is studied. And the steady-state responses with different time delays are also investigated. Finally, the displacement transmissibility of the controlled HSLDS vibration isolator is defined and compared with that of the passive counterpart. The effect of feedback parameters on the displacement transmissibility of the controlled system is analyzed. The results show that appropriate choice of feedback parameters can effectively reduce the displacement transmissibility in resonant region with the isolation performance in high frequencies unaffected. Besides, such control strategy has theoretical guiding significance for improving the isolation performance of the HSLDS vibration isolator.

导出引用

程春，李舜酩，王勇，江星星. 时滞立方位移反馈控制的高静低动刚度隔振器动力学分析[J]. 振动与冲击, 2017, 36(13): 110-115

Cheng Chun, Li Shunming, Wang Yong, Jiang Xingxing. Dynamic analysis of a high-static-low-dynamic stiffness vibration isolator with time delayed cubic displacement feedback[J]. Journal of Vibration and Shock, 2017, 36(13): 110-115

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