### 8th European Workshop On Structural Health Monitoring (EWSHM 2016)

5-8 July 2016, Spain, Bilbao

Right Now in Bilbao 12:09 Wed 3

12:00 Wednesday 6. Jul - A3B

### Detect Rail Crack Acoustic Emission based on Frequency Gaussian

Abstract »A measure of Frequency Gaussian is defined and used to detect rail crack acoustic emission signal in this research. Piezoelectric sensor signal is a linear mixture of rail crack acoustic emission signal and background noise, thus assuming those signals has the following three properties based on the central limit theorem:
• the background noise is a linear mixture of stochastic non-stationary signals, making it a Gauss signal or approximate Gauss signal, as for the measure of Frequency Gaussian is near zero.
• As rail crack acoustic emission signal is an unascertained non-stationary signal, the measure of Frequency Gaussian is a scalar far greater than zero.
• The piezoelectric sensor signal is a linear mixture of an unascertained non-stationary signal and Gauss signal (or approximate Gauss signal), the measure of Frequency Gaussian is a scalar far greater than zero.
The following table illustrates the measure of Frequency Gaussian of different signals: a. Laboratory Rail Crack Acoustic Emission Signal（Different SNR）; b. Background Noise Signal; and c. Linear Mixture of Acoustic Emission Signal and Background Noise Signal（Different SNR）.
Signal（5000 Sampling Points） Measure of Frequency Gaussian
Background Noise Signal 0.326
Laboratory Rail Crack Acoustic Emission Signal 20db 9.46E+04
15db 6.57E+04
10db 4.57E+04
5db 1.02E+04
Linear Mixture of Acoustic Emission Signal and Background Noise Signal 20db 8.23E+04
15db 3.52E+04
10db 2.15E+04
5db 5.46E+03
As the three properties assumed before have been verified by the Frequency Gaussian of different signal. This article argues that the Frequency Gaussian and three properties could be used to detect rail crack acoustic emission signal by calculating its Frequency Gaussian.

#### Authors

Liang, Weihai***Liang, Weihai***

864464112@qq.com

18781913728

*Biography:*

Algorithm engineer of Sichuan Southwest Jiaotong University Railway Development Company

*Affiliation:*

Sichuan Southwest Jiaotong University Railway Development Company

610091 Chengdu

ChinaChen, Zhi

**Chen, Zhi**

chenzhi@csrd.cn

+8615184332412

*Biography:*

Algorithm engineer of Sichuan Southwest Jiaotong University Railway Development Company

*Affiliation:*

Sichuan Southwest Jiaotong University Railway Development Company

610091 Chengdu

ChinaHe, Huo

**He, Huo**

hehuo@csrd.com

*Biography:*

Algorithm engineer of Sichuan Southwest Jiaotong University Railway Development Company

*Affiliation:*

Sichuan Southwest Jiaotong University Railway Development Company

Chengdu

ChinaQin, Dayong

**Qin, Dayong**

*Biography:*

leader of R&D of Sichuan Southwest Jiaotong University Railway Development Company

*Affiliation:*

Sichuan Southwest Jiaotong University Railway Development Company

Chengdu

China

**Contact*