Free-damped vibration analysis of Graphene Nano-Platelet nanocomposite Joined Conical-Conical-Cylindrical Shell marine-like structures

Abstract

The oncoming paper analyzes the Natural frequency (NF) of the most purposeful structures in ocean engineering as submerged, offshore, marine structures, gliders bodies, and shaft cowls labeled Joined Conical-Conical-Cylindrical Shell (JCCCS) structure. For this aim, 30 various geometry types related to the JCCCS structures are investigated in this work. In addition, Graphene Nano-Platelet (GNP) is applied to make a GNP-Nanocomposite (GNPN) material and enhance the vibrational performance associated with the JCCCS. For this purpose, Halpin-Tsai and the rule of mixture hypotheses are realized to discover the mechanical marks related to the GNPN. To access the core relationships associated with the JCCCS structures, the First Shear Deformation Theory (FSDT) and Donnell's simplifications are employed. Furthermore, Hamilton's scheme is involved determining the Differential Motion Equations (DMEs) coupled with the JCCCS structures. Also, the well-organized and distinguished technique branded the Generalized Differential Quadrature (GDQ) strategy is selected to discretize DMEs related to the JCCCS structures. The standard eigenvalues technique is organized to access the NFs related to the JCCCS structure. The NFs determined from the following method are compared to FE-based NFs related to the JCCCS structures to verify the upcoming procedure. Afterward, numerous novel examples are solved, which can be used as benchmarks to illustrate the various geometrical and material features and Boundary Conditions (BCs) on the NFs coupled with the isotropic-JCCCS and GNPN-JCCCS structures.