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The main purpose of this paper is to analyze the static bending and free vibration of functionally graded Timoshenko nanobeams by using Timoshenko beam theory and finite element method. The structure of nanobeam is described through the non-concentrated coefficient with the assumption that the material properties change constantly in thickness of beam as a function of gradient index n. The numerical results are verified by comparing with other works. Some parameters are studied such as geometrical and material properties, load, and especially the non-concentrated coefficient , which effect strongly on the static bending and free vibration of nanobeam structure.
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