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International Journal for Uncertainty Quantification

Publicou 6 edições por ano

ISSN Imprimir: 2152-5080

ISSN On-line: 2152-5099

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EFFECT OF PARAMETRIC UNCERTAINTIES ON THE EFFECTIVENESS OF DISCRETE PIEZOELECTRIC SPATIAL MODAL FILTERS

Volume 3, Edição 6, 2013, pp. 523-540
DOI: 10.1615/Int.J.UncertaintyQuantification.2012005287
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RESUMO

Modal filters may be obtained by a weighted sum of the signals of an array of sensors distributed on the host structure. However, the effect of parametric uncertainties on the effectiveness of the modal filter has received little attention. This work presents some numerical and experimental results on the effect of uncertainties of sensor array spatial distribution and weighting coefficients on the modal filtering effectiveness. For that, a free rectangular plate with twelve bonded piezoelectric sensors is considered. The spatial distribution of the array of piezoelectric sensors was optimized in a previous work to improve the effectiveness and frequency range of a set of modal filters. An experimental implementation of the modal filters was performed through a voltage divider and summing amplifier circuits and used to validate the performance of the modal filters. From numerical and experimental analysis, it was noticed, however, that the effectiveness of the modal filters are quite sensitive to the array spatial distribution and weighting coefficients. First, the effect of uncertainties of the array spatial distribution on the output of the modal filters was analyzed numerically using a finite element model. In this case, the main challenge was the cost of function evaluation and, thus, focus was put on solutions for the parameters sampling and approximations using response surface methods. Then, the effect of uncertainties of the weighting coefficients was evaluated using stochastic modeling combined with the measurement of individual responses of piezoelectric sensors. Confidence intervals for the modal filters output were evaluated and compared to experimental results with satisfactory results.

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CITADO POR
  1. Trindade Marcelo A., Pagani Carlos C., Oliveira Leopoldo P.R., Semi-modal active vibration control of plates using discrete piezoelectric modal filters, Journal of Sound and Vibration, 351, 2015. Crossref

  2. Masch Federico R., Hecker Rogelio L., Capraro Flavio, Modal filter design reducing the impact of sensors noise on the filter outputs, Mechanical Systems and Signal Processing, 156, 2021. Crossref

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