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Abstract
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In the present research, free vibration of a truncated conical shell is investigated. The shell consists of three layers: a porous core and two carbon nanotube-reinforced nanocomposite (CNTs-RNC) facesheets. The structure is inserted in a thermal environment and also, is also subjected to a longitudinal magnetic field. The structure’s kinematics is modelled based on the first-order shear deformation theory (FSDT), and the modified coupled stress theory (MCST) is used to consider the scale effect. The equations of motion are derived using Hamilton’s principle, and then, the generalized differential quadrature method (GDQM) is employed to solve them under various combinations of boundary conditions. The effects of several parameters, including geometry, porosity coefficient, porosity distribution patterns, CNTs’ mass fraction and types, agglomeration coefficients, boundary conditions, and small-scale parameter are investigated. The results demonstrate that the natural frequency increases with increasing CNTs’ mass fraction and decreases with increasing porosity. These structures have a wide range of potential applications and can be used in microelectromechanical and nanoelectromechanical systems.
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