Smart damping of functionally graded nanotube reinforced composite rectangular plates

In this study, the dynamic response and the active vibration control behavior of various functionally graded carbon nanotube reinforced composite (FGCNTRC) rectangular plates is investigated numerically instrumented with piezoelectric sensor and actuator layers. The functionally graded plate is modeled using finite element method incorporating first order shear deformation theory is implemented in order to predict static and dynamic responses of vibrating structure. The linear piezoelectric theory is implemented to model the piezoelectric effect across the thickness. The equations of motion of the smart plate are formulated using Hamilton's principle. The nonlinear fuzzy logic controller is designed as multi input-single output (MISO) system using 49 If-Then rules and implemented numerically to perform active vibration control. The results are presented both in the time domain and frequency domain. The numerical simulations conclude that the FG-O plate panel demonstrates the fastest vibration attenuation subjected to impact load using a fuzzy logic controller followed by FG-V, FG-UD and FG-X plate panels irrespective of volume fraction of the CNTs as well as boundary conditions. The effect of temperature rise and volume fraction of CNT on natural frequency of CNT reinforced composite plate with different boundary conditions is also investigated.