Free vibration analysis of nano-scale functionally graded beams using nonlocal elasticity theory with variable nonlocal parameters

In this study, the nonlocal elasticity theory is applied to analyze the free vibration of the functionally graded nanobeams. The novelty of the present study is that the classical nonlocal elasticity theory has been modified to take into account the variation of the nonlocal parameters through the thickness of the functionally graded. nanobeams.