### Abstract

This study presents an analysis on variable amplitude loading strains data by using amplitude probability distribution function, power spectral density function and cross correlation function techniques. The objectives of this study are to observe the capability of these techniques in investigating the time series behaviour in terms of distribution and statistical values and also detecting the similarity of pattern signal. In this study, the data consisting of non-stationary variable amplitude loading strains data exhibiting a random behaviour was used as a set of case study. This random data was collected on the lower suspension arm of an automobile component travelling on pave and highway route. The data was repetitively measured for 60 sec at the sampling rate of 500 Hz, which provided 30,000 discrete data points. The collected data was then calculated and analysed for the signal distribution, statistics parameter and cross correlation values. Higher calculated cross correlation values were then selected to analyse fatigue damage prediction. From amplitude probability distribution function and power spectral density function diagrams, the result can be concluded that the non-Gaussian distribution can be related to a broad band signal, while for Gaussian distribution for a narrow band signal. The findings from this study are expected to be used in determining the pattern behavior that exists in VA signals.

Original language | English |
---|---|

Pages (from-to) | 1714-1722 |

Number of pages | 9 |

Journal | Journal of Applied Sciences |

Volume | 10 |

Issue number | 16 |

Publication status | Published - 2010 |

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### Keywords

- Cross correlation
- Fatigue
- Power spectral density
- Probability distribution
- Time series
- Variable amplitude

### ASJC Scopus subject areas

- General

### Cite this

*Journal of Applied Sciences*,

*10*(16), 1714-1722.

**Behavioural investigation of fatigue time series using the statistical approach.** / Lennie, A.; Abdullah, Shahrum; Mohd Nopiah, Zulkifli; Baharin, M. N.

Research output: Contribution to journal › Article

*Journal of Applied Sciences*, vol. 10, no. 16, pp. 1714-1722.

}

TY - JOUR

T1 - Behavioural investigation of fatigue time series using the statistical approach

AU - Lennie, A.

AU - Abdullah, Shahrum

AU - Mohd Nopiah, Zulkifli

AU - Baharin, M. N.

PY - 2010

Y1 - 2010

N2 - This study presents an analysis on variable amplitude loading strains data by using amplitude probability distribution function, power spectral density function and cross correlation function techniques. The objectives of this study are to observe the capability of these techniques in investigating the time series behaviour in terms of distribution and statistical values and also detecting the similarity of pattern signal. In this study, the data consisting of non-stationary variable amplitude loading strains data exhibiting a random behaviour was used as a set of case study. This random data was collected on the lower suspension arm of an automobile component travelling on pave and highway route. The data was repetitively measured for 60 sec at the sampling rate of 500 Hz, which provided 30,000 discrete data points. The collected data was then calculated and analysed for the signal distribution, statistics parameter and cross correlation values. Higher calculated cross correlation values were then selected to analyse fatigue damage prediction. From amplitude probability distribution function and power spectral density function diagrams, the result can be concluded that the non-Gaussian distribution can be related to a broad band signal, while for Gaussian distribution for a narrow band signal. The findings from this study are expected to be used in determining the pattern behavior that exists in VA signals.

AB - This study presents an analysis on variable amplitude loading strains data by using amplitude probability distribution function, power spectral density function and cross correlation function techniques. The objectives of this study are to observe the capability of these techniques in investigating the time series behaviour in terms of distribution and statistical values and also detecting the similarity of pattern signal. In this study, the data consisting of non-stationary variable amplitude loading strains data exhibiting a random behaviour was used as a set of case study. This random data was collected on the lower suspension arm of an automobile component travelling on pave and highway route. The data was repetitively measured for 60 sec at the sampling rate of 500 Hz, which provided 30,000 discrete data points. The collected data was then calculated and analysed for the signal distribution, statistics parameter and cross correlation values. Higher calculated cross correlation values were then selected to analyse fatigue damage prediction. From amplitude probability distribution function and power spectral density function diagrams, the result can be concluded that the non-Gaussian distribution can be related to a broad band signal, while for Gaussian distribution for a narrow band signal. The findings from this study are expected to be used in determining the pattern behavior that exists in VA signals.

KW - Cross correlation

KW - Fatigue

KW - Power spectral density

KW - Probability distribution

KW - Time series

KW - Variable amplitude

UR - http://www.scopus.com/inward/record.url?scp=77954829601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954829601&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77954829601

VL - 10

SP - 1714

EP - 1722

JO - Journal of Applied Sciences

JF - Journal of Applied Sciences

SN - 1812-5654

IS - 16

ER -