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Abstract
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In the present research, free oscillation of a truncated conical shell is investigated. The shell is consisting of three layers: a porous core and two graphene platelets-reinforced nanocomposite facesheets. The structure's kinematic is modeling based on the first-order shear deformation theory. The equations of motion and associated boundary conditions are derived using Hamilton's principle and then, the generalized differential quadrature method is employed to solve them under various combinations of boundary conditions. The effects of several parameters, including geometry, porosity coefficient, porosity and GPLs' distribution patterns, GPLs' mass fraction and types, and boundary conditions are investigated. The results demonstrate that the natural frequency increases with increasing GPLs' mass fraction and decreases with increasing porosity. These structures have a wide range of potential applications and can be used in different industries.
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