Vibration analysis of polymer composite plates reinforced with graphene platelets resting on two-parameter viscoelastic foundation

In this paper, the vibration behavior of composite plate reinforced with graphene platelets (GPLs) resting on viscoelastic foundation in thermal environment based on higher-order shear deformation theory is examined. Halpin-Tsai model is utilized to determine the material properties of composites plate reinforced with GPL. In the present study, four patterns of GPLs distribution in plate layers are considered. To obtain the Euler-Lagrange equations of composites plate, Hamilton's principle is employed and Navier's method is utilized for analyzing and solving the problem. The results of this study have been verified by checking them with the previous works. The effects of various parameters such as geometry effect, GPL weight fraction, temperature changes and viscoelastic foundation on vibrational reaction of structure are analyzed.

Automated summary

In this paper, the vibration behavior of a composite plate reinforced with graphene platelets on a viscoelastic foundation in a thermal environment is examined using a higher-order shear deformation theory. The material properties of the composite plate reinforced with graphene platelets are determined using the Halpin-Tsai model. The Euler-Lagrange equations of the composite plate are obtained using Hamilton's principle and Navier's method is used to analyze and solve the problem. The effects of various parameters on the vibrational reaction of the structure, such as geometry, graphene platelet weight fraction, temperature changes, and viscoelastic foundation, are analyzed.