准零刚度隔振系统自适应控制

Adaptive control of quasi zero stiffness vibration isolation system

准零刚度隔振系统由于自身结构的特殊性,在系统参数设计理想的情况下,相比传统线性隔振系统在低频隔振方面应用广泛。但由于其属于非线性系统,系统参数的改变,可能使被隔振设备从小振幅变换到大振幅,不利于设备的正常工作。因此,构建两自由度准零刚度隔振系统动力学模型,对其动力学特性进行分析;然后,分析系统在不同参数情况下的相图和功率谱图,设计自适应控制器并分析其稳定性。最后,通过数值仿真得到系统参数发生变化情况下的时间历程图。结果表明,自适应控制算法能使系统在在参数受到干扰的情况下始终运行到理想的小振幅运动状态。

Due to the particularity of its own structure,the quasi-zero stiffness vibration isolation system is widely used in low-frequency vibration isolation compared to traditional linear vibration isolation systems when the system parameters are ideally designed.However,because it is a non-linear system,the change of system parameters may change the vibration isolation equipment from a small amplitude to a large amplitude,which is not conducive to the normal operation of the equipment.First,construct a two-degree-of-freedom quasi-zero stiffness vibration isolation system dynamic model and analyze its dynamic characteristics;then,analyze the phase diagram and power spectrum of the system under different parameters,design an adaptive controller and analyze its stability Finally,through numerical simulation,the time history diagram under the condition of changing system parameters is obtained.The results show that the adaptive control algorithm can make the system always run to the ideal small amplitude motion state when the parameters are disturbed.