Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers

This study explores the dynamic response and active vibration control (AVC) of an annular copper plate reinforced with graphene origami (GOri) auxetic metamaterials and integrated piezoelectric layers, under transverse mechanical shock. The governing equations are derived using Hamilton's principle and solved using the finite element method (FEM) and the Newmark algorithm. A parametric analysis examines the effects of GOri parameters, geometry, and boundary conditions on the dynamics. A low GOri mass fractions (<1 %) minimally impact the dynamics, while >2 % improves stiffness. The X-pattern optimally distributes the load, and a high folding degree has a varying impact depending on its distribution. The proposed control system, featuring a nonlinear fuzzy proportional–integral (PI) controller with adaptive gains cascaded with a proportional–integral–derivative (PID) controller, is compared to a velocity feedback system for vibration reduction. The proposed controller reduces maximum deflection by 80.39 %, outperforming the velocity feedback system (68.15 %). It also achieves a 48.4 % improvement in the integrated absolute error (IAE) index.