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.

Keywords:

• Functionally graded
• magneto-electro-elastic
• carbon nanotubes
• geometrically nonlinear
• large rotations

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability

The processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

Additional information

Funding

The authors would gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant No.11972020), the Natural Science Foundation of Shanghai, China (Grant No.21ZR1424100), Opening Fund of the State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, China (Grant No. GZ20104).