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基于递归分析的振动信号非平稳性评价

         

摘要

Vibration signals were extended to a higher dimensional phase space with phase space reconstruction algorithm, and the distribution and movement characteristic of neighborhood points of signals in higher dimension phase space were studied, and the methods of recurrence plot and recurrence quantification analysis were proposed for studying noise and non-stationarity of signals. Based on principal component analysis, the correlation coefficient of first principal component of recurrence quantification analysis of the sample matrix was taken as the evaluating index of non-stationarity. The analyses of numerically simulated signals and vibration signals of a bridge cable showed that the recurrence plot-based stationarity evaluation method is fast, intuitive and effective.%采用了相空间重构算法将工程结构振动信号扩展到高维相空间中,研究时间序列在高维空间中临近点的分布规律和运动特点,并用递归图及递归量化分析算法研究了信号含噪量和非平稳性;结合主成分分析,以高斯白噪声为评价基准,提出了采用递归量化指标样本第一主成分之间的相关系数作为信号非平稳性评价指标.通过对数值模拟信号及某拱桥吊索实测振动信号分析表明,基于递归分析的振动信号评估方法能快速直观的辨别出信号的平稳性,所提出的非平稳性评价指标可有效评价信号平稳性.

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