Erdurcan, Ersoy FatihCunedioglu, Yusuf2024-11-072024-11-0720200001-14521533-385Xhttps://doi.org/10.2514/1.J059002https://hdl.handle.net/11480/14075This paper presents a theoretical investigation on the free vibration of a symmetric beam consisting of an aluminum core coated with functionally graded material. The elastic modulus and density are varied throughout the thickness of the coating material with both a polynomial and an exponential function, whereas a classical lamination theory is applied to determine the effective elastic modulus and density. To model the gradually changing mechanical properties in a truthful way, the coating is represented by 25 layers of material, whereas each layer itself is homogeneous and isotropic. To obtain a numerical solution, the Timoshenko finite element model beam theory (which also takes first-order shear deformation effects into account) is used. For this purpose, a finite element code is written in MATLAB and the natural frequencies of the beam are found. A detailed parametric study is conducted to show the influences of the core thickness to beam height ratio (h/H), the beam span to height ratio (L/H), the exponential function and power law index n, and multiple boundary conditions on the natural beam frequencies. It was observed that the studied parameters had a significant effect on the natural frequencies.eninfo:eu-repo/semantics/closedAccessTimoshenko BeamArticle58294995410.2514/1.J0590022-s2.0-85081174489Q1WOS:000513533200036Q1