In this study, vibration characteristics of functionally graded rotating Timoshenko beams that undergoes flapwise bending vibration are analysed. Beam models with different material distribution properties are considered. The energy expressions are derived by introducing several explanotary figures and tables. Applying the Hamilton’s Principle to the derived energy expressions, governing differential equations of motion and the boundary conditions are obtained. Related formulation is coded by using MATLAB and in the solution part, the equations of motion, including the parameters for the rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM).   Natural frequencies of the modeled beams are obtained and the effects of rotational speed and material distribution on the vibrational characteristics of the beam are investigated. Obtained results are distributed in several tables.

Anahtar Kelimeler

Differential Transform Method; Functionally Graded Beam; Rotating Timoshenko Beam

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