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Nonlinear and Non-Stationary Detection for Measured Dynamic Signal from Bridge Structure Based on Adaptive Decomposition and Multiscale Recurrence Analysis

by Erhua Zhang 1,2,*, Deshan Shan 2,* and Qiao Li 2
1
School of Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China
2
Bridge Engineering Department, Civil Engineering School, Southwest Jiaotong University, Chengdu 610031, China
*
Authors to whom correspondence should be addressed.
Appl. Sci. 2019, 9(7), 1302; https://doi.org/10.3390/app9071302
Received: 17 February 2019 / Revised: 22 March 2019 / Accepted: 23 March 2019 / Published: 28 March 2019
(This article belongs to the Special Issue Bridge Dynamics)
To test the nonlinearity and non-stationarity of measured dynamic signals from a bridge structure with high-level noise and dense modal characteristics, a method that combines the adaptive signal decomposition with the recurrence analysis is proposed to solve the difficulty of testing nonlinearity and non-stationarity of bridge structure signals. A novel white noise assistance and cluster analysis are introduced to the ensemble empirical mode decomposition to alleviate mode-mixing issues and generate single-mode intrinsic mode functions. Combining the hypothesis-testing scheme of nonstationary and nonlinear synchronization and surrogate techniques, a data-driven recurrence quantification analysis method is proposed and a novel recurrence quantification measure pairs are set up. To demonstrate the efficacy of the proposed methodology, complex signals, which are collected from a carefully instrumented model of a cable-stayed bridge, are utilized as the basis for comparing with traditional nonlinear and non-stationary test methods. Results show that the proposed multiscale recurrence method is feasible and effective for applications to a nonlinear and non-stationary test for real complex civil structures. View Full-Text
Keywords: multiscale recurrence analysis; ensemble empirical mode decomposition; bridges; complex signals multiscale recurrence analysis; ensemble empirical mode decomposition; bridges; complex signals
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Zhang, E.; Shan, D.; Li, Q. Nonlinear and Non-Stationary Detection for Measured Dynamic Signal from Bridge Structure Based on Adaptive Decomposition and Multiscale Recurrence Analysis. Appl. Sci. 2019, 9, 1302.

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