In the current analysis, an attempt is made to extend a two-dimensional model for absorbed energy capability, and wave dispersion information of the functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) doubly curved panel coupled with a piezoelectric patch. The material properties of GPLRC layer are modeled by considering viscoelastic relations between stress and strain as well as Halpin-Tsai, and the role of mixture assumptions. FSDT and Hamilton’s principle are taken into consideration for the exact derivation of the general governing equations and boundary conditions of the FG-GPLRC panel coupled with a piezoelectric patch. For developing a precise solution approach, the analytical solution procedure is eventually used. The results demonstrate that viscoelastic parameter, wave number, applied voltage, and thickness of the piezoelectric patch have an important role in the absorbed energy capability, and wave dispersion in the FG-GPLRC panel coupled with a piezoelectric patch. The golden and fundamental result of this research is that, when the applied voltage to the piezoelectric patch increases, the energy absorption by the system decreases. Also, at the higher value of the viscoelastic factor, there is not any effect from applied voltage on the phase velocity of the system. For the design and application of the current research, some inspiration and guidance are provided by theory and simulation results.
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