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Smart Structures and Systems
  Volume 12, Number 5, November 2013 , pages 523-545

Robust inverse identification of piezoelectric and dielectric effective behaviors of a bonded patch to a composite plate
Ayech Benjeddou, Mohsen Hamdi and Samir Ghanmi

    Piezoelectric and dielectric behaviors of a piezoceramic patch adhesively centered on a carbon composite plate are identified using a robust multi–objective optimization procedure. For this purpose, the patch piezoelectric stress coupling and blocked dielectric constants are automatically evaluated for a wide frequency range and for the different identifiable behaviors. Latters\' symmetry conditions are coded in the design plans serving for response surface methodology–based sensitivity analysis and meta-modeling. The identified constants result from the measured and computed open-circuit frequencies deviations minimization by a genetic algorithm that uses meta-model estimated frequencies. Present investigations show that the bonded piezoceramic patch has effective three-dimensional (3D) orthotropic piezoelectric and dielectric behaviors. Besides, the sensitivity analysis indicates that four constants, from eight, dominate the 3D orthotropic behavior, and that the analyses can be reduced to the electromechanically coupled modes only; therefore, in this case, and if only the dominated parameters are optimized while the others keep their nominal values, the resulting piezoelectric and dielectric behaviors are found to be transverse–isotropic. These results can help designing piezoceramics smart composites for various applications like noise, vibration, shape, and health control.
Key Words
    finite element–experimental vibration–based mixed inverse identification; multi–objective optimization; piezoelectric effective behavior; dielectric effective behavior; piezoceramic patch; CFRP composite plate
Ayech Benjeddou : Institut Superieur de Mecanique de Paris, 93400 Saint-Ouen, France
Mohsen Hamdi and Samir Ghanmi :Institut Preparatoire aux Etudes d\'Ingenieurs de Nabeul, 8000 Nabeul, Tunisia

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