本文视振动系统为灰色模糊系统,应用模糊数学的理论作出系统的部份预估参数,由实测系统自由振动的加速度响应,利用最小二乘法识别出系统的初算物理参数,然后以此初算参数为理论模型,作计算值与实测值之差,引用摄动法对初算参数进行动力修改。该方法可以直观、方便地找到系统的物理参数,同时也可望用于非线性系统的识别,以及在线识别、振动控制等领域。 In this paper, we consider the vibration system as a gray fuzzy system, and use the theory of fuzzy mathematics to make partial estimation of the system parameters. By using the least square method to identify the initial vibrational acceleration response of the system, The parameter is the theoretical model, and the difference between the calculated value and the measured value is taken as reference. The perturbation method is used to modify the initial parameters. The method can find the physical parameters of the system intuitively and conveniently, and is also expected to be used in the identification of nonlinear systems, online identification and vibration control.