Abstract
The study introduces the dynamical characteristics of functionally graded porous nanocomposite new plates reinforced with graphene platelets (GPLs). The profiles of the structures are defined by four edges, in which an edge changes according to arbitrary functions such as sine function, power function, or arc function. Three types of porous distribution are combined arbitrarily with three types of the graphene platelet reinforcement through the Halpin–Tsai micromechanical model. The theory of elasticity and mechanics of materials are used to derive the governing equations, and then the Galerkin’s procedure is used to achieve the dynamic and chaotic characteristics of the complex-shaped plates. In addition, the obtained results are compared with previous literature and finite element method analyses including fundamental frequencies and nonlinear dynamic responses to confirm accuracy and reliability of the calculating process. The research promises significant contribution to modern science and technology.
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