This 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 (), the beam span to height ratio (), the exponential function and power law index , and multiple boundary conditions on the natural beam frequencies. It was observed that the studied parameters had a significant effect on the natural frequencies.
Free Vibration Analysis of a Functionally Graded Material Coated Aluminum Beam
AIAA Journal ; 58 , 2 ; 949-954
2019-11-19
6 pages
Article (Journal)
Electronic Resource
English
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