Vibration analysis of a smart multi-layer composite cylindrical panel reinforced with graphene nanoplatelets based on higher-order shear and normal deformation theory

Abstract

This paper studies vibration analysis of a sandwich cylindrical panel composed of graphene nanoplatelets reinforced core integrated with piezoelectric layers. The governing equations are derived using the Hamilton’s principle based on the shear and normal deformation theory. The effective material properties are estimated through Mori–Tanaka’s micromechanical model and rule of mixture. The piezoelectric coupling effect is applied using the Maxwell’s electrostatic equation. The wave propagation method is used for solution of the governing equations. A verification test is applied to approve our formulation and solution procedure. The results are presented to show impact of circumferential and axial wavenumbers, elastic foundation parameters, and geometric characteristics of the sandwich panel on the natural frequency responses. This model can be used in the design of smart multi-layer composite panels for use in energy harvesting, dynamic stability, vibration control, and structural health monitoring.