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.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.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.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.%In order to overcome a contradiction that increasing linear damping can suppress a dynamic system''s resonance but cause its high frequency vibration isolation performance to be weakened, the time delay cubic displacement feedback control strategy was proposed here.Firstly, the dynamic equation of a high-static-low-dynamic stiffness (HSLDS) vibration isolator with the proposed feedback control was built.The steady-state response of the controlled system was obtained using the multi-scale method.Then, the effects of feedback gain and time delay on the dynamic characteristics of the controlled system were analyzed.The stability of steady-state responses was also analyzed under different time delays.Finally, the displacement transmissibility of the controlled HSLDS vibration isolator was defined, the effects of feedback parameters on the displacement transmissibility of the controlled system were analyzed, and the performances of the controlled system were compared with those of a passive vibration isolation system.The results showed that appropriately chosen feedback parameters can effectively reduce the displacement transmissibility of the controlled system within its resonant region, while the vibration isolation performance of the system in high frequency range is not affected, so such a control strategy provides a theoretical guide for improving the vibration isolation performance of a HSLDS vibration isolator.
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