Hybrid control of laminated FG-CNTRC shell structures using an advanced smoothed finite element approach based on zig-zag theory

Abstract

This study proposes an advanced cell-based smoothed discrete shear gap method (CS-DSG3) using zig-zag theory integrated with a hybrid control mechanism for analysis of smart damping control of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) shell structures. The two-layer smart constrained layer damping (SCLD) treatment patches are attached to the surface of shells in which the constraining layer is made of 1–3 piezoelectric composite material to enhance the shear deformation of the constrained viscoelastic layer. This study hence contributes two new developments including: (1) this is the first study that applies a hybrid control mechanism for smart damping control of the laminated FG-CNTRC shell structures; (2) this study incorporates successfully the CS-DSG3 with the zig-zag theory to give an effective global–local numerical approach which not only improves the accuracy of global numerical solutions and reduce the computational cost but also considers the important local behaviors of laminated FG-CNTRC shell structures. Various numerical examples are studied to investigate the attenuation of amplitude of vibrations on the laminated FG-CNTRC shell structures. In addition, the influence of CNTs distribution and nanotube volume fraction on the damping behavior of laminated FG-CNTRC shell structures are also investigated in detail.