Low-velocity impact, resonance, and frequency responses of FG-GPLRC viscoelastic doubly curved panel

The current article deals with forced vibration, and low-velocity impact analysis of the functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) doubly curved panel on the viscoelastic foundation. Halpin-Tsai micromechanics and the role of mixture models are used for obtaining the material properties, respectively. For modeling the contact force between the current structure and impactor, Hertz contact theory is presented. For obtaining the governing and boundary condition equations of the FG-GPLRC doubly curved panel under the low-velocity impact, Hamilton's principle and first-order shear deformation theory (FSDT) are presented. Galerkin, and Newmark solution procedures are presented for solving the governing equation in displacement, and time domains, respectively. The results section is divided into two sections. The first one presents the influence of viscoelastic parameters, and radius curvature on the free, and forced vibration characteristics of the current model under low-velocity impact. In the second one, the influence of density of impactor, and weight fraction of the graphene nanoplatelets on the indentation, contact force, absorbed energy in panel, and indenter velocity are investigated in details. As a desirable result for the designer, as the weight fraction of the reinforcement increases, the maximum absorbed energy of the GPLRC panel could happen in less time.

Automated summary

This article focuses on forced vibration and low-velocity impact analysis of functionally graded graphene nanoplatelets reinforced composite doubly curved panels. Various models and theories are used to obtain material properties and conduct numerical simulations to investigate the influence of different parameters on the structure.