多自由度振动系统非线性动力特性的HHT辨识方法研究  

Identifying the Dynamic Characteristics of Multi-DOF Vibration Systems Using the Hilbert-Huang Transform

作　　者：屈文忠[1] 王广[2] 曾又林[1] 蒋寅军[1] 

机构地区：[1]武汉大学工程力学系,武汉430072 [2]第二炮兵工程学院,西安710025

出　　处：《机械科学与技术》2007年第12期1616-1620,共5页Mechanical Science and Technology for Aerospace Engineering

摘　　要：HHT方法(包括EMD方法)已成功地用于线性振动系统的辨识研究。本文针对多自由度非线性振动系统,利用小波分析方法对非线性振动响应进行预处理,把信号分解成一系列的窄带信号,应用EMD方法使得各阶内在模函数(IMF)均为单一成份信号,然后运用HT方法辨识自由振动响应的非线性特征。典型的线性振动系统和非线性振动系统的辨识结果说明了该方法的有效性。The Hilbert-Huang transform（HHT） including the empirical mode decomposition（EMD） has been successfully used for identifying the dynamic characteristics of a linear vibration system. Using the wavelet transfrom, we preprocess the response of nonlinear vibration and decompose its signals into a set of narrow-band signals. Then we apply the EMD to docomposing the vibartion response, thus making all the signals with intrinsic mode function of various orders become monocomponent. Finally, we employ the Hilbert transform（HT） to identify the dynamic characteristics of a multi-DOF nonlinear vibration system, The method is used to identify the dynamisc characteristics of an ASCE benchmark linear vibarion system, a nonlinear vibartion system, and a vibration system with steel frame. The identification results demonstrate the effectiveness of the method.

关 键 词：非线性振动 动力特性 经验模态分解方法 多自由度非线性振动系统 

分 类 号：O39[理学—工程力学]