DYNAMIC CHARACTERISTICS OF MIXTURE UNIFIED GRADIENT ELASTIC NANOBEAMS

The mixture unified gradient theory of elasticity is invoked for the rigorous analysis dynamic characteristics elastic nanobeams. A consistent variational framework established and boundary-value problem equilibrium enriched with proper form extra non-standard boundary conditions detected. As a well-established privilege stationary theorems, constitutive laws resultant fields cast as differential relations. wave dispersion response nano-sized beams analytically addressed closed solution phase velocity determined. free vibrations beam is, furthermore, studied. nanobeams numerically evaluated, graphically illustrated, commented upon. efficacy augmented in realizing softening stiffening responses evinced. New numerical benchmark detected model provides practical approach to tackle dynamics nano-structures pioneering MEMS/NEMS.