STRUCTURAL ENGINEERING AND MECHANICS, cilt.93, sa.6, ss.475-493, 2025 (SCI-Expanded)
This work analyzes the free vibration responses of a functionally graded carbon-nanotube reinforced composite (FGCNTRC) beam supported by Kerr substrates. Four carbon-nanotube (CNT) dispersion patterns following nonlinear forms are considered in the analysis. In the proposed model, the transverse displacement accounts for shear and bending, and the shear strain incorporates a correction function to refine its distribution across the beam's thickness. The mixture rule implements the estimation of the effective material properties. The kinematics is based on an improved first-order shear deformation theory (FSDT) framework. Deriving the governing equations of motion was through the application of Hamilton's principle. The obtained results are compared with those found in the literature to verify the current theory and its accuracy. The parametric study examines the impact of Kerr foundation parameters, CNT's configuration, and volume fractions, and the exponent degree of nonlinearity on the vibration behaviors of an FG-CNTRC beam.