Free vibration of functionally graded graphene platelets reinforced composite porous L-shaped folded plate

Abstract

This paper investigates the free vibration of a functionally graded graphene platelets reinforced composite (FG-GPLRC) porous L-shaped folded plate. According to the folded position, the L-shaped folded plate is divided into three rectangular plates. Based on Mindlin-Reissner plate theory and Hamilton’s principle, the governing equations for free vibration of each subelement are deduced. Utilizing the generalized differential quadrature element (GDQE) method, the governing equations for each subelement are discretized and numerically solved to obtain the natural frequency. The study focuses on discussing the influence of several factors, including porosity distribution, porosity coefficient, plate size, crank angle, boundary conditions, GPL weight fraction, and GPL pattern on the natural frequency. The findings reveal that the incorporation of GPL enhances the mechanical performance of the porous folded plate compared to a pure porous plate. Dispersion of more GPL near the upper and lower layers enhances the stiffness of the FG-GPLRC porous folded plate, leading to higher natural frequency. Additionally, variations in the crank angle have a significant impact on the natural frequency.