FE modeling of a closed box beam with piezoelectric fiber composite patches

Abstract

A thin walled single-cell box beam with piezoelectric fiber composite patches bonded to its skin is analyzed. Patch fibers are oriented at ±45 • with respect to the beam's longitudinal axis. Two types of connections are used to supply control signals to the patches. In the first case, upper and lower patches are connected in pairs. The second case involves independent control of each patch.A FE approach is used to model the host structure and the actuators. The analysis is made in the state-space using a state feedback control concept. A LQR control strategy is used.A uniform field material model is used to obtain the effective electromechanical properties of the patches, while the passive host structure material is modeled as isotropic linear elastic.Closed-loop root locus plots show a notable increment in damping ratios introduced by independent actuation with respect to coupled actuation. Frequency responses show the attenuation in tip twist and tip displacement while resonant conditions are investigated. Numerical results reveal that, in contrast to coupled actuation, independent actuation is able to control not only torsional modes but also flexional modes. However, as expected, due to the orientation of the patches, torsional vibration control exhibits a better performance.Finally, a transient analysis is performed and results for open and closed-loop systems are compared. A substantial attenuation of the closed-loop system with admissible voltages is attained.

A layered shell containing patches of piezoelectric fibers and interdigitated electrodes: Finite element modeling and experimental validation

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Piezoelectric control of columns prone to instabilities and nonlinear modal interaction

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