## 1 Introduction
They concluded that the introduction of the piezoelectric effect could efficiently change the plate's natural modes and aeroelastic modes. [PERSON] et al. [19; 20; 21] studied the aeroelastic flutter behavior and vibration control of supersonic beams and panels attached with piezoelectric materials. The results indicated that the aerodynamic performance of these structures could be greatly enhanced by considering the piezoelectric effects. According to a genetic algorithm, [PERSON] et al. [22] presented an optimal method to suppress the aeroelastic flutter of composite panels with smart piezoelectric under thermal effects. [PERSON] and [PERSON] [23] developed geometrically nonlinear finite elements for the aero-thermoelastic investigation of cylindrical piezoelectric laminated shells. They concluded that active piezoelectric actuation could efficiently improve the aerodynamic performance of the shell. [PERSON] et al. [24] analyzed the oscillation reduction and static stability of a functionally graded piezoelectric plate under electro-mechanical excitations in a thermal environment. Results demonstrated that the volume fraction index of the plate's material has an important influence on the vibration suppression performance. In order to control the flutter of a composite panel with piezoelectric actuators in supersonic airflow, [PERSON] and [PERSON] [25] proposed an optimal control algorithm to improve the aeroelastic performance of the panel with a lower control input. Based on three different control strategies, [PERSON] and [PERSON] [26] utilized piezoelectric self-sensing actuators to reduce the flutter response of a transonic wing. Graphene or graphene platelets (GPLs) are a kind of carbon-filled polymer composites that have extremely mechanical, electrical, and thermal properties and lower production costs. In addition, a large number of theoretical and experimental studies revealed that adding a low content of graphene into the pristine polymer matrix can significantly enhance its mechanical [27; 28; 29; 30; 31], thermal [32], and electrical properties [33]. [PERSON] et al. [34] studied buckling and post-buckling characteristics of functionally graded multilayer composite beams reinforced with GPLs. Numerical results show that GPLs exhibited an excellent enhancement effect on the modulus and strength of beams and can increase the critical buckling load. [PERSON] et al. [35] studied the influences of different GPL sizes on the mechanical properties of GPL nanocomposites. They concluded that a larger GPL size could dramatically increase the tensile modulus but decrease the nanocomposites' strength. [PERSON] et al. [36; 37] investigated the vibration characteristics, buckling, and dynamic responses of multilayer graphene nanoplatelet reinforced plates subjected to the combination of axial compression and transversal loads. Their study demonstrated that introducing a small amount of GPLs can remarkably enhance the beam's buckling resistance and suppress oscillation response. [PERSON] et al. [38] carried out an aeroelastic analysis of the dynamic behaviors of GPL plates subjected to in-plane excitations and applied voltage. [PERSON] et al. [39] analyzed the aeroelastic dynamics and stability of FG reinforced porous panels enclosed by piezoelectric layers subjected to supersonic airflow. [PERSON] et al. [40] investigated the dynamic response and flutter behavior of the graphene platelets reinforced porous panels in aerodynamic flow. As reviewed above, the characteristics of structures made up of graphene reinforced composite materials have been extensively studied. The excellent properties of graphene provide us with new insights into the improvement of the aerodynamic performance of structures by adding graphene. Furthermore, the combined piezoelectric and graphene-reinforced materials make good candidates for the suppression of structural flutter.