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International Journal for Uncertainty Quantification
IF: 0.967 5-Year IF: 1.301 SJR: 0.531 SNIP: 0.8 CiteScore™: 1.52

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012005287
pages 523-540

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

Marcelo A. Trindade
Department of Structural Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Av. Trabalhador Sao-Carlense, 400, Sao Carlos-SP, 13566-590, Brazil
Carlos C. Pagani, Jr.
Department of Mechanical Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Av. Trabalhador Sao-Carlense, 400, Sao Carlos-SP, 13566-590, Brazil
Leopoldo P. R. Oliveira
Department of Mechanical Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Av. Trabalhador Sao-Carlense, 400, Sao Carlos-SP, 13566-590, Brazil
Ernesto Massaroppi, Jr.
Department of Mechanical Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Av. Trabalhador Sao-Carlense, 400, Sao Carlos-SP, 13566-590, Brazil

ABSTRACT

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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