【作者】 李涛；

【导师】 张方；

【作者基本信息】 南京航空航天大学 ， 工程力学， 2013， 硕士

【摘要】 希尔伯特—黄变换是信号分析领域的一个重要理论，在图像处理，结构监测，和模态参数识别领域有着广泛的应用。本文将希尔伯特—黄变换与独立分量分析方法结合对模态参数进行识别，并根据某型飞机的主要总体参数和空测数据建立了飞机的结构动力学模型，文章最后还对结构模型的建模与优化问题做了初步的探讨分析。本文首先介绍了模态参数识别和希尔伯特—黄变换的发展过程以及最新的一些研究成果，并对模态参数的各种识别方法做了优劣上的简单分析。接下来，本文介绍了希尔伯特—黄变换的基本理论，对经验模态分解的算法作了详细分析，对希尔伯特—黄变换中的插值拟合包络、端点效应、固有模态函数判据、模态混叠现象进行了介绍，对抑制端点效应和模态混叠现象的方法进行了详细分析。在改进后的希尔伯特—黄变换的基础上，结合综合经验模态分解（EEMD），详细分析了实模态时，脉冲激励下多自由度系统的模态参数识别方法，并对单自由度系统，多自由度系统和简支梁以及GARTEUR飞机模型进行参数识别，验证了文中方法的可靠性和精度。文章最后提出独立分量分析技术在模态参数识别中的运用，并用算例证明其在模态参数识别上有很高的精度。更多还原

【Abstract】 Hilbert-huang transform is one of the important theories in signal analysis field，it has widerange of applications in image processing, the structure detection and modal parametersidentification. The time domain method occupies an important position in the field of modalparameters identification, and Natural Excitation Technique is one of most use time domainmethod. This paper use the method which combined Hilbert-huang transform and idependentcomponent analysis to identify the different vibration’s parameters, and construct a structuredynamic model of plane based on the main population parameter and air test data, in the end,makes a preliminary study of modeling and optimization.This paper first introduces the development process and some latest research results of modalparameters identification and Hilbert-huang transform, and makes a simple analysis on the meritsof various modal parameters identification methods.Next, this paper introduces the basic theory of Hilbert-huang transform and made thedetailed analysis of empirical mode decomposition algorithm; then introduces the interpolationfitting envelope, end effect, the intrinsic mode function criterion and modal aliasing phenomenon,made the detailed analysis of the method which use control the end effect and modal aliasingphenomenon.Made the detailed analysis of using the method which combine the improved Hilbert-Huangtransformation and comprehensive empirical mode decomposition to identify the modalparameters of multi degree of freedom system under pulse excitation, then identify the modalparameters of single degree of freedom system, multi degree of freedom system and simplysupported beam, GARTEUR plane model, these results verify the reliably and accuracy of paper’smethod.In the end of this paper, it introduces that independent component analysis technique can beused in the identification of modal parameters, and uses examples to demonstrate its highaccuracy in the identification of modal parameters.更多还原