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Higher order statistical frequency domain decomposition for operational modal analysis

机译:用于操作模态分析的高阶统计频域分解

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摘要

Experimental methods based on modal analysis under ambient vibrational excitation are often employed to detect structural damages of mechanical systems. Many of such frequency domain methods, such as Basic Frequency Domain (BFD), Frequency Domain Decomposition (FFD), or Enhanced Frequency Domain Decomposition (EFFD), use as first step a Fast Fourier Transform (FFT) estimate of the power spectral density (PSD) associated with the response of the system. In this study it is shown that higher order statistical estimators such as Spectral Kurtosis (SK) and Sample to Model Ratio (SMR) may be successfully employed not only to more reliably discriminate the response of the system against the ambient noise fluctuations, but also to better identify and separate contributions from closely spaced individual modes. It is shown that a SMR-based Maximum Likelihood curve fitting algorithm may improve the accuracy of the spectral shape and location of the individual modes and, when combined with the SK analysis, it provides efficient means to categorize such individual spectral components according to their temporal dynamics as coherent or incoherent system responses to unknown ambient excitations.
机译:在环境振动激励下基于模态分析的实验方法通常用于检测机械系统的结构损伤。许多这样的频域方法,例如基本频域(BFD),频域分解(FFD)或增强频域分解(EFFD),都将功率谱密度的快速傅立叶变换(FFT)估算用作第一步( PSD)与系统的响应相关联。在这项研究中表明,可以成功地采用高阶统计估计量,例如频谱峰度(SK)和样本与模型比率(SMR),不仅可以更可靠地区分系统对环境噪声波动的响应,而且可以更好地识别并从间距紧密的单个模式中分离出贡献结果表明,基于SMR的最大似然曲线拟合算法可以提高光谱形状和各个模态位置的准确性,并且与SK分析结合使用时,它提供了一种有效的手段,可以根据其时域对各个光谱成分进行分类。动态作为相干或不相干系统对未知环境激发的响应。

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