Modulated linear dynamics of nanobeams accounting for higher gradient effects

We present some numerical results for the linear dynamics of nanobeams modulated by an axialforce, basing on a recent proposal of literature that encompasses both the standard nonlocal elasticity,according to Eringen, and second-order strain elasticity. Three different possibilities for theelastic potential energy provide different responses that highlight the contributions of nonlocalityand strain gradient, plus their combination. An axial force affects the linear stationary dynamicsof such nanobeams, inducing suitable variation of the natural angular frequencies for benchmarkcases, until static buckling occurs when the natural angular frequency vanishes. Effects of thevarious elastic potentials on this modulation are investigated and thoroughly commented.