小摄动弱非线性系统的参数辨识(英文)

Parameter Identification for Weakly Nonlinear System with Small Perturbation

非线性振动系统的参数辨识在结构动力特性研究及其振动控制中有着重要的作用.针对一类一般非线性系统提出了一个参数辨识的新方法.将小摄动量引入弱非线性系统中,应用多尺度方法获得系统的频响函数,接着利用非线性参数方法转换将原频响函数转化为线性函数。

The problem of identifying parameters of nonlinear vibration system plays very important role in studying the dynamic property and controlling oscillation of the system. A new method to identify the parameters of a class of universal nonlinear vibration system is presented in this paper. By introducing small perturbation to the weakly nonlinear system the frequency response function is obtained with multiple scales method. And then, the function is transformed into the linear function with respect to the parameters by means a nonlinear parameter transformation. Finally the least square method is employed to the new frequency response function and the parameter is identified.