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International Journal for Uncertainty Quantification
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ISSN Imprimir: 2152-5080
ISSN En Línea: 2152-5099

Acceso abierto

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

SINOPSIS

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.

REFERENCIAS

  1. Sunar, M. and Rao, S., Recent advances in sensing and control of flexible structures via piezoelectric materials technology. DOI: 10.1115/1.3098923

  2. Ahmadian, M. and Deguilio, A., Recent advances in the use of piezoceramics for vibration suppression. DOI: 10.1177/058310240103300102

  3. Reza Moheimani, S., A survey of recent innovations in vibration damping and control using shunted piezoelectric transducers. DOI: 10.1109/TCST.2003.813371

  4. Park, G., Sohn, H., Farrar, C. R., and Inman, D. J., Overview of piezoelectric impedance-based health monitoring and path forward. DOI: 10.1177/05831024030356001

  5. Giurgiutiu, V. and Cuc, A., Embedded non-destructive evaluation for structural health monitoring, damage detection, and failure prevention. DOI: 10.1177/0583102405052561

  6. Sodano, H. A., Inman, D. J., and Park, G., A review of power harvesting from vibration using piezoelectric materials. DOI: 10.1177/0583102404043275

  7. Meirovitch, L. and Baruh, H., Control of self-adjoint distributed-parameter systems. DOI: 10.2514/3.56140

  8. Lee, C. and Moon, F., Modal sensors⁄actuators. DOI: 10.1115/1.2892008

  9. Fripp, M. and Atalla, M., Review of modal sensing and actuation techniques. DOI: 10.1177/058310240103300101

  10. Preumont, A., François, A., De Man, P., and Piefort, V., Spatial filters in structural control. DOI: 10.1016/S0022-460X(02)01440-2

  11. Friswell, M., On the design of modal actuators and sensors. DOI: 10.1006/jsvi.2000.3300

  12. Chen, C.-Q. and Shen, Y.-P., Optimal control of active structures with piezoelectric modal sensors and actuators. DOI: 10.1088/0964-1726/6/4/003

  13. Tanaka, N. and Sanada, T., Modal control of a rectangular plate using smart sensors and smart actuators. DOI: 10.1088/0964-1726/16/1/004

  14. Shelley, S., Investigation of discrete modal filters for structural dynamic applications.

  15. Pagani, Jr., C. and Trindade, M., Optimization of modal filters based on arrays of piezoelectric sensors. DOI: 10.1088/0964-1726/18/9/095046

  16. Helton, J., Johnson, J., Sallaberryc, C., and Storlie, C., Survey of sampling-based methods for uncertainty and sensitivity analysis. DOI: 10.1016/j.ress.2005.11.017

  17. Cataldo, E., Soize, C., Sampaio, R., and Desceliers, C., Probabilistic modeling of a nonlinear dynamical system used for producing voice. DOI: 10.1007/s00466-008-0304-0

  18. Soize, C., Maximum entropy approach for modeling random uncertainties in transient elastodynamics. DOI: 10.1121/1.1360716

  19. Santos, H. and Trindade, M., Structural vibration control using extension and shear active-passive piezoelectric networks including sensitivity to electrical uncertainties. DOI: 10.1590/S1678-58782011000300004


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