Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells

In this article, in order to investigate the nonlinear forced vibrations in multi-physics fields, a coupled nonlinear modeling for composite cylindrical shells is developed by the improved Donnell nonlinear shell theory and Maxwell static electricity/magnetism equations. The nonlinear governing equations are obtained by Hamilton principle, and then the partial differential equations are transformed into sixty-degree-of-freedom nonlinear ordinary differential equations through multi-mode Galerkin technique. Afterwards, numerical simulations are conducted by the pseudo-arclength continuation algorithm. The comparisons and validations show that the present procedure is capable of solving coupled multi-modes nonlinear partial differential equations. Finally, the effects of the external temperature change, magnetic potential, electric potential, excitation amplitude on nonlinear vibration response of composite cylindrical shells are evaluated. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This article presents a coupled nonlinear modeling approach to investigate the nonlinear forced vibrations in composite cylindrical shells. By numerical simulations, the effects of external temperature change, magnetic potential, electric potential, and excitation amplitude on vibration response were evaluated.