基于递归分析的振动信号非平稳性评价

PDF(1997 KB)

振动与冲击 ›› 2011, Vol. 30 ›› Issue (12) : 39-43.

论文

基于递归分析的振动信号非平稳性评价

杨栋1,2; 任伟新1,2

作者信息 +

Evaluate of dynamic signal non-stationary using recurrence plot

YANG Dong1,2; REN Wei-Xin1,2

Author information +

文章历史 +

摘要

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。

Abstract

Vibration signal extended to higher dimensional phase space by phase space reconstruction algorithm, and study the distribution and movement characteristic of neighborhood points of signals in high dimension, and proposed the methods of recurrence plot and recurrence quantification analysis used for studying noise and non-stationary of the signals. Based on principal component analysis, the evaluating feature of non-stationary is the correlation coefficient of first principal component of recurrence quantification analysis of the sample matrix. The analysis of numerical simulated signal and vibration signal of a bridge cables show that the recurrence plot based stationary evaluation method is fast and intuitive; the proposed non-stationary feature can be effectively.