Ricerc@Sapienza

In this contribution some numerical results are presented for the linear dynamics of nanobeams modulated by an axial force. The beam model was recently proposed and encompasses both Eringen's usual nonlocal elasticity and second-gradient strain elasticity. Three different combinations of such aspects provide elastic potential energies that give responses highlighting the various levels of contributions of nonlocality and strain gradient.

Size-dependent buckling of compressed Bernoulli-Euler nano-beams is investigated by stress-driven nonlocal continuum mechanics. The nonlocal elastic strain is obtained by convoluting the stress field with a suitable smoothing kernel. Incremental equilibrium equations are established by a standard perturbation technique. Higher-order constitutive boundary conditions are naturally inferred by the stress-driven nonlocal integral convolution, equipped with the special bi-exponential kernel.