Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach

In this article,transverse free vibrations of axially moving nanobeams subjected to axial tension are studied based on nonlocal stress elasticity theory.A new higher-order differential equation of motion is derived from the variational principle with corresponding higher-order,non-classical boundary conditions.Two supporting conditions are investigated,i.e.simple supports and clamped supports.Effects of nonlocal nanoscale,dimensionless axial velocity,density and axial tension on natural frequencies are pres...