Large deflections of magneto-electro-elastic cylindrical shells reinforced with functionally graded carbon nanotubes

Abstract

This article deals with large deflection analysis of functionally graded carbon nanotube-reinforced magneto-electro-elastic (MEE) cylindrical shells using fully geometrically nonlinear finite element methods. The first-order shear deformation theory and strain–displacement relations of large rotations are employed to obtain the governing equations. The nonlinear dynamic models are derived from Hamilton’s principle. Four distribution patterns of carbon nanotubes embedded in the piezoelectric matrix are considered. The credibility of the proposed fully geometrically nonlinear model is firstly verified by comparing the displacements of MEE laminated plates and shells in the published literature. Further, the influence of various parameters on the static and dynamic performance of the structure has been studied. The study believed that the large rotation theory can obtain more accurate results when the structures undergo large deformation.