Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz, Magdalena

doi:10.3390/app8071124

Cited by 46 publications

(24 citation statements)

References 142 publications

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“…To date, a number of vibration-based system identification and damage detection methods have been developed, and review articles with different emphases can be also found [2][3][4]. In general, structural parameters identification can be performed in three different paradigms: (i) time domain (e.g., [5][6][7][8][9][10]), (ii) frequency domain (e.g., [11][12][13][14]), and (iii) time-frequency domain (e.g., [15][16][17]).…”

Section: Literature Surveymentioning

confidence: 99%

Output-Only Parameters Identification of Earthquake-Excited Building Structures with Least Squares and Input Modification Process

Yang

Jiang

et al. 2019

Applied Sciences

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Damage detection and system identification with output-only information is an important but challenging task for ensuring the safety and functionality of civil structures during their service life. In this paper, a relatively simple and efficient iteration identification method consisting of the least squares estimation (LSE) technique and an input modification process is proposed for the simultaneous identification of structural parameters and the unknown ground motion. The spatial distribution characteristics of ground acceleration on earthquake-excited building structures are considered as additional information for parameters identification in each iterative step. First, the unknown input is estimated using the measured responses and the initial guesses of the structural parameters. The estimated input is then modified on the basis of the property of its spatial distribution. This modified input is further employed for providing the updated estimation of structural parameters. The iterative procedure would continue until the preset convergence criterion is satisfied. The accuracy of the proposed approach is numerically validated via a shear building model under the El Centro earthquake. The effects of signal noise, the number of sample points, and the initial guesses of structural parameters are discussed. The results show that the proposed approach can satisfactorily identify the structural parameters and unknown earthquakes.

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Section: Literature Surveymentioning

confidence: 99%

Output-Only Parameters Identification of Earthquake-Excited Building Structures with Least Squares and Input Modification Process

Yang

Jiang

et al. 2019

Applied Sciences

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“…Resuming, each nonlinear wave equation can be linearized by a non-local symmetry analysis (for more details, see Bluman-Cheviakov [4]). For further discussion about the potential benefit of this procedure, we refer to the papers by Taylor-Kidder-Teukolsky [5] and Palacz [6] (spectral methods for propagation phenomena).…”

Section: Introductionmentioning

confidence: 99%

Large Time Behavior for Inhomogeneous Damped Wave Equations with Nonlinear Memory

2020

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We investigate the large time behavior for the inhomogeneous damped wave equation with nonlinear memory ϕtt(t,ω)−Δϕ(t,ω)+ϕt(t,ω)=1Γ(1−ρ)∫0t(t−σ)−ρ|ϕ(σ,ω)|qdσ+μ(ω),t>0, ω∈RN imposing the condition (ϕ(0,ω),ϕt(0,ω))=(ϕ0(ω),ϕ1(ω))inRN, where N≥1, q>1, 0<ρ<1, ϕi∈Lloc1(RN), i=0,1, μ∈Lloc1(RN) and μ≢0. Namely, it is shown that, if ϕ0,ϕ1≥0, μ∈L1(RN) and ∫RNμ(ω)dω>0, then for all q>1, the considered problem has no global weak solution.

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“…For commonly used homogeneous and heterogeneous materials, dispersion relations have been documented in various handbooks and textbooks [7,8]. Numerical methods, such as time and frequency domain spectral element method [9][10][11][12], the semi-analytical finite element method [13,14], the wave finite element method [15,16], and transfer function and transfer matrix methods [17,18] have also been developed to describe wave propagation along uniform and periodically varying waveguides. For realistic wave propagation characteristics to be obtained, accurate description of material and geometric characteristics of the waveguide is required [19].…”

Section: Introductionmentioning

confidence: 99%

Estimating dispersion curves from Frequency Response Functions via Vector-Fitting

Albakri

Malladi

Gugercin

et al. 2020

Mechanical Systems and Signal Processing

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Driven by the need for describing and understanding wave propagation in structural materials and components, several analytical, numerical, and experimental techniques have been developed to obtain dispersion curves. Accurate characterization of the structure (waveguide) under test is needed for analytical and numerical approaches. Experimental approaches, on the other hand, rely on analyzing waveforms as they propagate along the structure. Material inhomogeneity, reflections from boundaries, and the physical dimensions of the structure under test limit the frequency range over which dispersion curves can be measured.In this work, a new data-driven modeling approach for estimating dispersion curves is developed. This approach utilizes the relatively easy-to-measure, steady-state Frequency Response Functions (FRFs) to develop a state-space dynamical model of the structure under test. The developed model is then used to study the transient response of the structure and estimate its dispersion curves. This paper lays down the foundation of this approach and demonstrates its capabilities on a one-dimensional homogeneous beam using numerically calculated FRFs. Both in-plane and out-of-plane FRFs corresponding, respectively, to longitudinal (the first symmetric) and flexural (the first anti-symmetric) wave modes are analyzed. The effects of boundary conditions on the performance of this approach are also addressed.

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Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Cited by 46 publications

References 142 publications

Output-Only Parameters Identification of Earthquake-Excited Building Structures with Least Squares and Input Modification Process

Output-Only Parameters Identification of Earthquake-Excited Building Structures with Least Squares and Input Modification Process

Large Time Behavior for Inhomogeneous Damped Wave Equations with Nonlinear Memory

Estimating dispersion curves from Frequency Response Functions via Vector-Fitting

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