Abstract
The present study demonstrates the free vibration behavior of composite laminated shells reinforced by both randomly oriented single-walled carbon nanotubes (SWCNTs) and functionally graded fibers. The shell structures with different principal radii of curvature are considered, such as cylindrical, spherical, elliptical–paraboloid shell, hyperbolic–paraboloid shell, and plate. The volume fraction of the fibers has a linear variation along the shell thickness from layer to layer, while the volume fraction of CNTs is constant in all shell layers and uniformly distributed. The fiber-reinforced elements are distributed with three functions which are V-distribution, O-distribution, and X-distribution in addition to the uniform distribution. A numerical analysis was carried out systematically to validate the proposed solution. A new analytical solution is presented based on the Galerkin approach for shells and is exploited to illustrate the influence of some factors on the free vibration behavior of CNTs/fibe-reinforced composite (CNTs/F-RC) laminated shells, including the distributions and volume fractions, various boundary conditions, and geometrical properties of the reinforcement materials. The proposed solution is shown to be an effective theoretical tool to analyze the free vibration response of shells.
Highlights
Introduction iationsA functionally graded material (FGM), which is an advanced composite material with a continuous gradation of materials through spatial directions, is broadly employed in various applications, ranging from macroscale to micro/nano-scale electro-mechanical systems (MEMS/NEMS)
The volume fraction of fibers has a linear variation along the shell thickness from layer to layer, while the volume fraction of carbon nanotubes (CNTs) is constant in all shell layers and uniformly distributed
Four the fibers has a of linear variation along shell layers thickness layer to layer, while the different patterns of fiber distribution are created in this study, a uniform distribution volume fraction of CNTs is constant in all shell layers and uniformly distributed
Summary
Ammar Melaibari 1 , Ahmed Amine Daikh 2,3 , Muhammad Basha 1 , Ahmed Wagih 4 , Ramzi Othman 1 , Khalid H. Hamed 1 , Alaa Abdelrahman 4 and Mohamed A. Laboratoire d’Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, B.P. 305, R.P., Mascara 29000, Algeria
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