Active control of functionally graded carbon nanotube–reinforced composite plates with piezoelectric layers subjected to impact loading

To the best of the authors’ knowledge, this is the first attempt in the open literature to study the active control of the dynamic response of functionally graded carbon nanotube–reinforced composite plates with piezoelectric layers, as target composite plates, subjected to impact loading. The theoretical formulation of the composite plates with piezoelectric layers is developed using the element-free improved moving least-squares Ritz model and the higher-order shear deformation theory. The effective material properties of the carbon nanotube–reinforced composite layer are estimated by the Mori–Tanaka method. The modified nonlinear Hertz contact law is used to identify the contact force between the target composite plates and the spherical impactor. The Newmark time integration method is utilized to calculate the resulting dynamic response. A constant velocity feedback controller is efficiently used for the active control of the dynamic response of the target plates subjected to impact loading. The results revealed that the current model can successfully reduce and suppress the resulting displacement caused by impact loading. Additionally, the effects of some passive configurations on the target plates’ dynamic response are presented. The effect of altering both active and passive control configurations together on the target plates’ dynamic response is discussed as well.