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A Correlation Coefficient Approach for Evaluation of Stiffness Degradation of Beams Under Moving Load

Thanh Q. Nguyen1,2, Thao T. D. Nguyen3, H. Nguyen-Xuan4,5,*, Nhi K. Ngo1,2

Laboratory of Applied Mechanics (LAM), Ho Chi Minh City University of Technology, Ho Chi Minh City, 740030, Vietnam.
Saigon Hi-Tech Park Training Center, Ho Chi Minh City, 715650, Vietnam.
Ho Chi Minh City Department of Transportation and Communication, Ho Chi Minh City, 710100, Vietnam.
CIRTECH Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, 717349, Vietnam.
Department of Physical Therapy, Graduate Institute of Rehabilitation Science, China Medical University, Taichung, 40402, Taiwan.

* Corresponding Author: H. Nguyen-Xuan. Email: .

Computers, Materials & Continua 2019, 61(1), 27-53.


This paper presents a new approach using correlation and cross-correlation coefficients to evaluate the stiffness degradation of beams under moving load. The theoretical study of identifying defects by vibration methods showed that the traditional methods derived from the vibration measurement data have not met the needs of the actual issues. We show that the correlation coefficients allow us to evaluate the degree and the effectiveness of the defects on beams. At the same time, the cross-correlation model is the basis for determining the relative position of defects. The results of this study are experimentally conducted to confirm the relationship between the correlation coefficients and the existence of the defects. In particular, the manuscript shows that the sensitivity of the correlation coefficients and cross-correlation is much higher than the parameters such as changes in stiffness (EJ) and natural frequency values (Δf). This study suggests using the above parameters to evaluate the stiffness degradation of beams by vibration measurement data in practice.


Cite This Article

T. Q. Nguyen, T. T. D. Nguyen, H. Nguyen-Xuan and N. K. Ngo, "A correlation coefficient approach for evaluation of stiffness degradation of beams under moving load," Computers, Materials & Continua, vol. 61, no.1, pp. 27–53, 2019.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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