Free Vibration Analysis of Transversely FG Magneto-Electro-Elastic Nanobeam

This paper presents a study on the vibrational behavior of magneto-electro-elastic (MEE) functionally graded (FG) nanobeams, whose material properties vary continuously along the thickness direction. The nanobeam is composed of Barium Titanate (BaTiO۳) and Cobalt Ferrite (CoFe۲O۴), enabling strong coupling between elastic, electric, and magnetic fields. The theoretical modeling is based on the first-order shear deformation theory (FSDT) combined with nonlocal elasticity theory to capture small-scale effects. The finite element method (FEM) is employed for the discretization and numerical solution of the governing equations. Natural frequencies are extracted under various boundary conditions, and the influences of the nonlocal parameter, material gradation, and beam geometry are thoroughly examined. The results offer important insights for the design and analysis of advanced smart nano-structures.

کلیدواژه ها:

Magneto-Electro-Elastic ، Vibration Analysis- Finite-Element ، Functionally Graded Material