Nonlinear Damped Transient Vibrations of Carbon Nanotube-Reinforced Magneto-Electro-Elastic Shells with Different Electromagnetic Circuits.

Purpose: In this research work, the nonlinear damped transient response of functionally graded carbon nanotube (CNT)-reinforced magneto-electro-elastic (FG-CNTMEE) shells are investigated using finite element methods. Method: The controlled response is obtained through active constrained layer damping (ACLD) treatment composed of a 1–3 piezoelectric (PZC) patch and the viscoelastic layer. The FG-CNTMEE shell subjected to different forms of load cases including mechanical and electro-magnetic loads are considered for evaluation. In addition, the influence of open circuit and closed circuit electro-magnetic boundary conditions on the damped transient response of the FG-CNTMEE shell is investigated for the first time in the literature. The equations of motion are derived using the principle of virtual work. The solutions are obtained through the condensation approach and the direct-iterative method. Results: Several numerical examples are presented to assess the influence of parameters such as shell geometries, CNT distribution pattern, CNT volume fraction, and boundary conditions. Special attention has been paid to understand the effect of coupling fields on the damped response of the FG-CNTMEE shell. [ABSTRACT FROM AUTHOR]