希尔伯特-黄变换在体系动力响应分析中的应用  

Applications of Hilbert-Huang Transform in the Dynamic Response Analysis of System

作　　者：郭淑卿[1] 洪小永[2] 史卿[3] 

机构地区：[1]天津大学建工学院,天津300072 [2]华东建筑设计研究院,上海200002 [3]中国市政工程华北设计研究院,天津300074

出　　处：《沈阳建筑大学学报（自然科学版）》2005年第5期464-467,共4页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金资助项目(50378063)

摘　　要：目的为了更好地分析线性双自由度体系的动力响应,识别各种因素对动力响应的影响.方法将最近美国黄锷提出的一种新的时频分析方法,希尔伯特-黄变换方法运用于线性双自由度体系输出绝对加速度反应的时频分析,对体系的动力响应先进行了经验模态分解,将反应数据分解成了具有明确物理意义的固有模态函数,再经过希尔伯特变换之后,可以得到各固有模态函数的希尔伯特谱.结果动力响应的希尔伯特谱有效地区分了体系自振频率及激励频率对体系动力响应的影响,各频谱具有明确的物理意义.结论希尔伯特-黄变换方法,克服了傅里叶变换不能表示响应随时间变化的缺点,是一种很好的时频分析的方法,可以细致体现出体系的动力特征,具有很高的精确性与有效性.In order to analyze the dynamic response of the factors on it, a new time-frequency method named linear 2-DOF system and identify the influence of all Hilbert-Huang transform was applied in the time-frequency analysis of linear 2-DOF system, which was put forward by Norden E. Huang in USA. The dynamic response was decomposed into significant IMF by Empirical Mode Decomposition. After performing the Hilbert transform, the IMFs can achieve the Hilbert spectra. It clearly shows the action of the natural frequency and prompting frequency. The Hilbert-Huang Transform does better than Fourier Transform in the time domain, which can show the dynamic character in time-frequency domain. The method is accurate and valid in the time-frequency analysis.

关 键 词：希尔伯特-黄变换 经验模态分解 固有模态函数 线性双自由度体系 

分 类 号：P315[天文地球—地震学]