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In this paper, we propose an effective computational approach to analyze andactive control of geometrically nonlinear responses of functionally graded (FG)porous plates with graphene nanoplatelets (GPLs) reinforcement integrated withpiezoelectric layers. The key concept behind this work is to utilizeisogeometric analysis (IGA) based on B\'ezier extraction technique and$C^0$-type higher-order shear deformation theory ($C^0$-HSDT). By applyingB\'ezier extraction, the original Non-Uniform Rational B-Spline (NURBS) controlmeshes can be transformed into B\'ezier elements which allow us to inherit thestandard numerical procedure like the standard finite element method (FEM). Inthis scenario, the approximation of mechanical displacement field is calculatedvia $C^0$-HSDT whilst the electric potential field is considered as a linearfunction across the thickness of each piezoelectric sublayer. The FG plateincludes internal pores and GPLs dispersed into metal matrix either uniformlyor non-uniformly along plate's thickness. To control responses of structures,the top and bottom surfaces of FG plate are firmly bonded with piezoelectriclayers which are considered as sensor and actuator layers. The geometricallynonlinear equations are solved by Newton-Raphson iterative procedure andNewmark's integration. The influence of porosity coefficient, weight fractionof GPLs as well as external electrical voltage on geometrically nonlinearbehaviors of plate structures with various distributions of porosity and GPLsare thoroughly investigated. A constant displacement and velocity feedbackcontrol approaches are then adopted to actively control geometrically nonlinearstatic and dynamic responses, where structural damping effect is taken intoaccount, based on a closed-loop control with sensor and actuator layers.

Analysis and active control of geometrically nonlinear responses of  smart FG porous plates with graphene nanoplatelets reinforcement based on  B\'ezier extraction of NURBS