柔性基础主动隔振系统的缩聚建模和时滞问题研究

摘要

以复杂柔性耦合主动隔振系统为对象,研究其动力学建模和时滞主动控制问题.考虑筏架和基础的弹性,建立浮筏系统的有限元模型,并基于超单元动力缩聚技术,把系统的有限元模型在物理空间中进行减缩.考虑作动器的时滞效应,建立系统的时滞主动控制模型,对系统的最大时滞量和控制器的时滞稳定性进行了数值研究.数值计算表明,主动控制中有必要考虑时滞因素以避免失稳,所提出的方法易于保证控制系统的性能和稳定性.%An elastic vibration active isolation system was taken as an object and its dynamic modeling and time delay active control problem were studied. Considering the flexibility of its raft and foundation, the finite element model of a floating raft system was built. Based on the super-element dynamic condensation technology, the finite element model was reduced in physical space. Considering the time delay effect of actuators, the time delay active control model was established and the maximum time delay of the system and the time delay stability of the controller were studied numerically. Numerical calculations showed that it is necessary to consider the time delay factor for the active control to avoid instability, the proposed method is easy to ensure the control system performance and stability.