Analytical Solution for Static and Dynamic Analysis of Graphene-Based Hybrid Flexoelectric Nanostructures

Owing to their applications in devices such as electromechanical sensors, actuators and nanogenerators, the consideration of size-dependent properties response composites is great importance. In this study, a closed-form solution based on linear piezoelectricity, Kirchhoff’s plate theory Navier’s was developed, envisage behaviors hybrid graphene-reinforced piezoelectric composite (GRPC) plates, considering flexoelectric effect. The governing equations respective boundary conditions were obtained, using Hamilton’s variational principle for achieving static deflection resonant frequency. Moreover, different parameters aspect ratio, thickness plate, loadings (inline, point, uniformly distributed load (UDL), varying (UVL)), combination volume fraction graphene lead zirconate titanate are considered attain desired bending frequency GRPC. Different mode shapes coefficients also results reveal that proper addition percentage effect dynamic responses GRPC substantial. obtained expose piezoelastic nanocomposite plates worth paying attention to, order develop nanoelectromechanical system (NEMS). Our fundamental study sheds possibility evolving lightweight high-performance NEMS over existing materials.