基于偏最小二乘法分形计盒维数的冲击定位方法

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (2) : 97-102.

论文

陈思博1,2，潘晓文1，刘金福1,2

作者信息 +

Impact localization method based on the partial least squares regression fractal dimension

CHEN Sibo1,2，PAN Xiaowen1，LIU Jinfu1,2

Author information +

文章历史 +

摘要

针对航空板结构健康监测需求，提出一种基于分形计盒维数的板结构分布式光纤冲击载荷定位方法。使用分形维数能够定量描述与刻画非线性系统行为的复杂性以及度量信号的不规则度。研究发现，光纤布拉格光栅(FBG)传感器冲击响应信号频谱的分形计盒维数与冲击距离以及冲击位置与光纤轴向角度存在关联，以此为特征参数可以实现对冲击位置定位。由于冲击响应信号频谱的分形计盒维数与冲击位置之间存在重复性、非线性等问题，采用偏最小二乘回归法，对多个传感器数据进行数据融合，提高了冲击点位置预测提高定位精度。该方法与时差冲击定位方法相比，无需高速FBG解调设备。

Abstract

Aiming at meeting the demand of monitoring the health of aeronautical sheet structures, a distributed sheet structure optical fiber impact loading localization method was proposed based on the fractal box dimension, which can be used to quantitatively describe and characterize the complexity of nonlinear system, behaviors and to measure the irregularity of signals.It is found that the fractal box dimension of the impact response signal spectrum of an optical fiber Bragg grating(FBG) sensor is correlated with the impact distance, and that the impact position is correlated with the optical fiber axial angle, which can be used as a characteristic parameter to achieve the localization of the impact position.In view of the fact that there are such problems as reproducibility and nonlinearity between the fractal box dimension of the impact response signal spectrum and the impact position, the partial least squares regression method was used for the data fusion of multiple sensors to improve the accuracy of impact position prediction.Compared with the time-difference impact localization method, the method proposed has the advantage of no need of a high speed optical fiber grating demodulation equipment.

导出引用

陈思博1,2，潘晓文1，刘金福1,2. 基于偏最小二乘法分形计盒维数的冲击定位方法[J]. 振动与冲击, 2021, 40(2): 97-102

CHEN Sibo1,2，PAN Xiaowen1，LIU Jinfu1,2. Impact localization method based on the partial least squares regression fractal dimension[J]. Journal of Vibration and Shock, 2021, 40(2): 97-102

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