Recurrence Analysis: Method and Applications

Catone, Maria Carmela; Diana, Paolo; Faggini, Marisa

doi:10.1007/978-3-319-55477-8_14

Cited by 1 publication

(2 citation statements)

References 19 publications

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“…Marwan et al [1] and Zbilut et al [19] presented excellent reviews of the earlier studies on RP and RQA. In addition, recent reviews by Catone et al and Webber et al, covering detailed and extensive theories and various application, are available in References [6,20].…”

Section: Introductionmentioning

confidence: 99%

“…Although powerful in testing the properties of nonlinear and nonstationary signals, the success of RP and RQA application is mainly on the signal from the numerical simulation or small-scale and controlled laboratory experiments [6,20]. In these research studies, the influencing factors of the experiments are controllable and RP patterns of the signals are simple.…”

Section: Introductionmentioning

confidence: 99%

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

2019

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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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%