Abstract
In this study, a model based on a nonlocal theory is proposed to study the e ect of external loads on the free vibration of nanobeams. The governing equations for the initially pre-stressed beam are obtained by using the Hamilton principle. Analytical solution of vibration is presented using the Eringen nonlocal theory to bring out the e ect of the nonlocal behavior on natural frequencies. The performance of the present model is compared with that of others by the presentation of comparative results. It is suggested that the present model can be used as a benchmark in future studies.
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