Abstract
This paper presents a design method to optimize the material distribution of zirconia/aluminum-functionally graded material with respect to some buckling and vibration properties. The distribution of volume fractions of the FGM constituents is defined through the beam or column length by a trigonometric law. The finite element method is used for the buckling and vibration analysis, and a genetic algorithm is utilized for optimization of the chosen objective function. The efficiency of the method is demonstrated by two design problems. In the first design problem, FGM is used to maximize the buckling crical load to weight ratio. In the second design problem, the kinetic energy of a vibrating FGM beam is minimized at a specific excitation frequency. These design problems show that material tailoring of beam/column structures using FGM can result in substantial improvements of their buckling and vibration characteristics.
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