Enhanced vibration decomposition method based on multisynchrosqueezing transform and analytical mode decomposition

Yu, Xin; Li, Jun; Hao, Hong

doi:10.1002/stc.2730

Cited by 10 publications

(6 citation statements)

References 41 publications

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“…3(c), slight frequency deviation is observed, which is introduced by frequency squeezing in Eq. (18).…”

Section: (C)mentioning

confidence: 99%

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Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Yu¹,

Dan²

2021

Preprint

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Identifying time-varying frequency and amplitude online in real-life structural vibrations is an essential topic of data processing in structural health monitoring. This paper proposes a novel method for this task. We assume that structural vibration signals are stationary in a short time, thus a spectral analysis method called amplitude and phase estimation (APES) is conducted to obtain the amplitude spectrum at corresponding time window, and a postprocessing technique is proposed to extract the modal frequency and amplitude from the spectrum automatically. The extracted frequency and amplitude could be regarded as the average of the instantaneous frequency and instantaneous amplitude during the window. Due to the instability of measured structural vibrations and the uncertainty of spectral shapes under ambient excitation, Kalman ?filtering is introduced by taking the signal that reconstructed from the identi?fied frequencies and amplitudes as the prediction to enhance the reliability and quality (signal-to-noise ratio) of the next measured signals. Numerical study is performed to inspect the performance of the proposed method. It is also employed to analyze the vibration signals of actual structures, i.e., a cable of a cable-stayed bridge, a hanger of an arch bridge and the main girder of a suspension bridge. The results show its potential to track frequency and amplitude in structural vibrations under environmental measurements. The method is supposed to provide fundamental support for further information obtaining and high-level decision making for structural health monitoring systems.

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“…3(c), slight frequency deviation is observed, which is introduced by frequency squeezing in Eq. (18).…”

Section: (C)mentioning

confidence: 99%

“…(2) directly after obtaining the phase. For this kind of technical route, A. Baccigalupi and A. Liccardo [16], P. Ni et al [17], Y. Xin et al [18] respectively employed EMD, VMD and AMD to decompose the measured multi-component responses into limited number of IMFs, and the IF was identified by using HT according to Eqs. (2) and (4).…”

Section: Introductionmentioning

confidence: 99%

Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Yu¹,

Dan²

2021

Preprint

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show abstract

Section: Introductionmentioning

confidence: 99%

Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Dan

2022

Engineering Structures

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“…In fact, the change in physical parameters of civil engineering structures is a gradual process in most circumstances. For instance, the cumulative structural damage evolves from minor to severe, leading to gradually changing vibration characteristics 25 . For the vehicle‐bridge coupling system, the mass distribution of the system varies with time due to the vehicle movement, which also results in the gradually varying features of the system 26–28 .…”

Section: Introductionmentioning

confidence: 99%

Identification of gradually varying physical parameters based on discrete cosine transform using partial measurements

Yang

Lei

et al. 2022

Structural Contr & Hlth

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Structural physical parameters often vary gradually due to the degradation of material properties or effects of environment. In this paper, two novel approaches are proposed to identify the gradually varying physical parameters based on the discrete cosine transform (DCT) using partial measurements of structural responses. Approach I is proposed for the circumstance of known excitations. The gradually varying physical parameters are first located by the fading-factor extended Kalman filter (FEKF) and then identified by the proposed DCT integrated with Kalman filter (KF) method. Approach II is proposed for the identification of gradually varying physical parameters under unknown excitations. The gradually varying physical parameters are first localized by the proposed fading-factor extended Kalman filter under unknown input (FEKF-UI) and then identified by the proposed DCT integrated with Kalman filter under unknown input (KF-UI). Numerical examples demonstrate that the proposed approaches can identify the gradually varying physical parameters accurately with incomplete measurement data. Moreover, the identification of time-varying cable force in cable-stayed bridge is also discussed as a case study of the proposed approach I. Experimental verification shows that it provides a new path to identify the time-varying cable force by only using one acceleration response measurement of the cable.

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Enhanced vibration decomposition method based on multisynchrosqueezing transform and analytical mode decomposition

Cited by 10 publications

References 41 publications

Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Online frequency and amplitude tracking in structural vibrations under environment using APES spectrum postprocessing and Kalman filtering

Identification of gradually varying physical parameters based on discrete cosine transform using partial measurements

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