Transmissibility Matrix in Harmonic and Random Processes

Fontul, M.; Ribeiro, A. M. R.; Silva, J.M.M.; Maia, N. M. M.

doi:10.1155/2004/438986

Cited by 32 publications

(19 citation statements)

References 2 publications

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“…If the coordinates at Z are equal to K, the proposed transmissibility matrix is the same transmissibility matrix given by Fontul et al [2] for random and harmonic vibrations. According to Eq.…”

Section: Multivariable Psdt With Different Transferring Outputsmentioning

confidence: 99%

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Operational modal analysis approach based on multivariable transmissibility with different transferring outputs

Araújo

Laier

2015

Journal of Sound and Vibration

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Section: Multivariable Psdt With Different Transferring Outputsmentioning

confidence: 99%

“…This multivariable transmissibility matrix can be calculated by either using the frequency response functions of the system for harmonic forces or relating the spectral densities of the responses for random forces. Work by Fontul et al [2] has proven that the transmissibility matrix is the same if either harmonic or random forces are used.…”

Section: Introductionmentioning

confidence: 99%

Operational modal analysis approach based on multivariable transmissibility with different transferring outputs

Araújo

Laier

2015

Journal of Sound and Vibration

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“…The expressions for the transmissibility remain valid for other types of excitation, including those of an impulsive or random nature [24].…”

Section: The Transmissibility Conceptmentioning

confidence: 99%

A Comparison of Some Methods for Structural Damage Detection

2017

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In principal, a proper analysis of the dynamic response of a structure can provide general indicators of its operational conditions. When the dynamic response changes due to a variation of the physical properties of a structure, then one may conclude that some kind of damages has occurred. This paper presents investigation of the robustness and comparison of four simple methodologies to both identify and quantify the damages in structures, based on the use of Frequency Response Functions (FRF) signals, Principal Component Analysis technique (PCA) and Transmissibility. A steel beam with constant rectangular crosssection is used to compare the proposed approaches. At first, nine damaged scenarios are created and for each of them numerical examples are discussed; a database of FRFs is measured using modal testing. Then, PCA theory is applied to the FRF matrix and global damage detection and quantification indices are defined by using the first 3 Principal Components; Hotelling's T-squared distribution is also applied and by using transmissibility two other indicators, Transmissibility Damage Indicator and Weighted Damage Indicator, are computed for the assessment of damage. The reported examples show that all proposed methods are able to detect and quantify damages at the initial stage.

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“…The cases that have been addressed so far were limited to harmonic or periodic forces. The generalization to random forces has been derived in [(Ribeiro et al, 2002;Fontul et al, 2004)], now in terms of power spectral densities, rather than in terms of response amplitudes. Let KK S denote the auto-spectral density of the responses K X and KU S the cross-spectral density between responses K X and U X .…”

Section: The Random Forces Casementioning

confidence: 99%