In this paper, vibration analysis of rotary tapered axially functionally graded (AFG) Timoshenko nanobeam is investigated in a thermal environment based on nonlocal theory. The governing equations of motion and the related boundary conditions are derived by means of Hamilton’s principle based on the first order shear deformation theory of beams. The solution method is considered using generaliz...

This paper describes the application of refined plate theory to investigate free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by aggregated carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, satisfying the zer...

In this paper, a refined plate theory is applied to investigate the free vibration analysis of functionally graded nanocomposite sandwich plates reinforced by randomly oriented straight carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses only four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, and satis...

Nonlinear Bending Analysis of Micro/Nano Rectangular and Annular Sector Plates Using a Modified Higher-Order Shear Deformation Theory the Couple Stress

This study presents a novel approach for addressing dynamical characteristics of fluid conveying axially functionally graded pipes. The variation material properties the pipe along axial direction is taken into account according to power-law function. Owing unified expression displacement field, developed model can be recast classical Euler – Bernoulli and Timoshenko tube models as well newly h...