Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

October 19, 2021


Pages

177-186


DOI

Article

Health monitoring of Bridges based on multifractal theory

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Authors

Ling Zhao Affiliation:
School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074
, Jiawei Ding Affiliation:
School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074
and Haiming Liu Affiliation:
State Key Laboratory of Bridge Engineering Structural Dynamics, China Merchants Chongqing Communication Research & Design Institute Co., Ltd, Chongqing, 400067, China


Abstract

The multifractal theory is applied in an analysis of bridge disturbance signals with the aim of investigating their nonlinear characteristics, and then the recognisable fault features are extracted from them. By calculating the box dimension and correlation dimension of the bridge disturbance signal, the dimensional characteristics of the disturbance data are analysed to distinguish the health-state of the bridge. Finally, taking the bridge disturbance data as an example, and by using the multifractal spectrum analysis of the disturbance data, it is concluded that the multifractal method can accurately identify the fault state and realise the bridge health monitoring.


Keywords

box dimension, Correlation dimension, Bridge health monitoring, Multifractal spectrum


Citation

Zhao, L., Ding, J., & Liu, H. (2021). Health monitoring of bridges based on multifractal theory. Applied Mathematics and Nonlinear Sciences, 6(2), 177–186. https://doi.org/10.2478/amns.2021.2.00036
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