Dynamic and Chaotic Responses of Porous Nanocomposite Nonrectangular Plates with Single-Variable-Edge

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 functi...

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Bibliographic Details
Published in:AIAA journal 2022-02, Vol.60 (2), p.1116-1151
Main Authors: Viet Hoang, Vu Ngoc, Hoang Ha, Nguyen, Gia Ninh, Dinh
Format: Article
Language:English
Subjects:
Finite element method
Functionally gradient materials
Graphene
Mathematical analysis
Nanocomposites
Nonlinear dynamics
Platelets (materials)
Plates
Resonant frequencies
Trigonometric functions
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Summary: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.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J060999