Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 29, Issue 18, Pages 2555-2569Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2020.1870782
Keywords
Plate; carbon nanotubes (CNTs); vibration; stiffeners; thermal environments; FEM
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In this study, an eight-nodded isoparametric finite element method was used to model the geometry of the stiffened plate based on first-order shear deformation theory. The distribution of carbon nanotubes, as well as various factors such as stiffeners addition, dimensions, aspect ratio, thickness ratio, boundary conditions, fiber volume fraction, and temperature, were analyzed for their effects on the natural frequency.
In this present investigation, an eight-nodded isoparametric finite element method is used to model the geometry of the stiffened plate based on first-order shear deformation theory. Three nodded isoparametric beam elements with four degrees of freedom per node are employed to model the stiffener's geometry. The carbon nanotubes are distributed through the thickness direction of the stiffened plate. The generalized dynamic equilibrium equation is derived from Lagrange's equation of motion using minimum potential energy. The significance of stiffeners addition, stiffeners dimension, aspect ratio, thickness ratio, boundary conditions, fiber volume fraction and temperature on the natural frequency is scrutinized in detail.
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