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Based on nonlocal beam theories,the dynamic mechanical behavior of a simply supported Euler-Bernoulli nano-beam subjected to a moving force are studied in this paper.The governing equations of motion for the dynamic response of the nano-beam including nonlocal effects are derived by using Eringens theories.The analytical solution of differential equation is obtained using state-space method.The effects of the nonlocal stress and the magnitude of the moving force velocity on the dynamic responses of the nano-beam are discussed in detail.The results indicate that nonlocal effects and moving force velocity play a significant role on the dynamic mechanical response of nano-beam.