Abstract
Based on the classical shell theory, the linear dynamic response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) truncated conical shells resting on elastic foundations subjected to dynamic loads is presented. The truncated conical shells are reinforced by single-walled carbon nanotubes (SWCNTs) that vary according to the linear functions of the shell thickness. The motion equations are solved by the Galerkin method and the fourth-order Runge–Kutta method. In numerical results, the influences of geometrical parameters, elastic foundations, natural frequency parameters, and nanotube volume fraction of FG-CNTRC truncated conical shells are investigated. The proposed results are validated by comparing them with those of other authors.
Highlights
In the past few decades, carbon nanotubes (CNTs) have generated huge research interest from many areas of science and engineering
Presented a geometrically nonlinear analysis of functionally graded (FG)-CNTR composite laminated plates by using first-order shear deformation plate theory and the Von Kármán assumption accounting for transverse shear strains, rotary inertia, and moderate rotations
This paper studies the dynamic response and vibration of FG-CNTRC truncated conical shells
Summary
In the past few decades, carbon nanotubes (CNTs) have generated huge research interest from many areas of science and engineering. By considering the temperature dependence of material properties and the initial thermal stresses, Amin et al studied the free vibration behavior of pre-twisted FG-CNTRC beams in a thermal environment [12], in which the governing equations were derived based on the higher-order shear deformation theory of beams and the free vibration eigenvalue equations are extracted using the Chebyshev–Ritz method. Presented a geometrically nonlinear analysis of FG-CNTR composite laminated plates (which were composed of perfectly bonded carbon nanotube-reinforced functionally graded layers; in each layer, CNTs are assumed to be uniformly distributed or functionally graded in the thickness direction) by using first-order shear deformation plate theory and the Von Kármán assumption accounting for transverse shear strains, rotary inertia, and moderate rotations. Studied the nonlinear dynamic response and vibration of FG-CNTRC shear deformable plates with temperature-dependent material properties and surrounded by elastic foundations. Solutions to the problem of the dynamic response of FG-CNTRC truncated conical shells resting on Formulation of the Problem elastic foundations
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