Based on the nonlocal beam theory,the dynamic behavior of simply supported Euler-Bernoulli nano-beams subjected to moving loads was studied.T he governing equations of motion for the dynamic responses of the nano-beam...Based on the nonlocal beam theory,the dynamic behavior of simply supported Euler-Bernoulli nano-beams subjected to moving loads was studied.T he governing equations of motion for the dynamic responses of the nano-beam under nonlocal effects were derived by according to Eringen’s theory.T he analytical solution to the differential equations was obtained with the state-space method.The effects of the nonlocal stresses and the magnitude of the moving force velocity on the dynamic responses of the nanobeam were discussed in detail.T he results indicate that the nonlocal effects and moving force velocity play a significant role on the dynamic mechanical responses of nano-beams.展开更多
基金The National Natural Science Foundation of China(1106200411362009)
文摘Based on the nonlocal beam theory,the dynamic behavior of simply supported Euler-Bernoulli nano-beams subjected to moving loads was studied.T he governing equations of motion for the dynamic responses of the nano-beam under nonlocal effects were derived by according to Eringen’s theory.T he analytical solution to the differential equations was obtained with the state-space method.The effects of the nonlocal stresses and the magnitude of the moving force velocity on the dynamic responses of the nanobeam were discussed in detail.T he results indicate that the nonlocal effects and moving force velocity play a significant role on the dynamic mechanical responses of nano-beams.
