Dynamics of Stress-Driven Two-Phase Elastic Beams

The dynamic behaviour of micro- and nano-beams is investigated by the nonlocal continuum mechanics, a computationally convenient approach with respect to atomistic strategies. Specifically, size effects are modelled by expressing elastic curvatures in terms of the integral mixture of stress-driven local and nonlocal phases, which leads to well-posed structural problems. Relevant nonlocal equations of the motion of slender beams are formulated and integrated by an analytical approach. The presented strategy is applied to simple case-problems of nanotechnological interest. Validation of the proposed nonlocal methodology is provided by comparing natural frequencies with the ones obtained by the classical strain gradient model of elasticity. The obtained outcomes can be useful for the design and optimisation of micro- and nano-electro-mechanical systems (M/NEMS).

Automated summary

The dynamic behavior of micro- and nano-beams is investigated using nonlocal continuum mechanics, with size effects modeled by expressing elastic curvatures in terms of stress-driven local and nonlocal phases. Relevant nonlocal equations of motion for slender beams are formulated and integrated using an analytical approach. The presented strategy is applied to simple case problems of nanotechnological interest, and the validation of the proposed nonlocal methodology is provided by comparing natural frequencies with those obtained by the classical strain gradient model of elasticity. Overall, the outcomes obtained can be useful for the design and optimization of micro- and nano-electro-mechanical systems (M/NEMS).