Vibration analysis of SWCNT enhanced nanocomposite plates based on Mori Tanaka homogenization technique

A vibration analysis of single-walled carbon nanotube (SWCNT) reinforced nanocomposite plates is investigated based on Mori-Tanaka (MT) micromechanical homogenization approach to determine equivalent elastic properties. The MT scheme used Eshelby’s tensor formulation, to account the CNT geometry, orientation, and volume fraction. The homogenized properties are implemented into the first-order shear deformation theory (FSDT) plate formulation, and the equations governing the dynamics are solved via a suitable numerical method. A parametric investigation explores the influence of aspect ratio, CNT reinforced/ unreinforced, volume fraction on the frequencies of plates under simply supported boundary conditions. Results show that the inclusion of SWCNTs significantly enhances the stiffness, resulting in frequency increases for the same aspect ratio. Comparisons with unreinforced plates confirm that the MT‑based model reliability, predicts frequency enhancement trends, with good agreement to reference solutions in the literature.