Vaccaro Marzia Sara, Pinnola Francesco Paolo, Marotti de Sciarra Francesco, Barretta Raffaele
Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, 80125 Naples, Italy.
Nanomaterials (Basel). 2021 Apr 28;11(5):1138. doi: 10.3390/nano11051138.
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).
通过非局部连续介质力学研究了微纳梁的动力学行为，相对于原子策略而言，这是一种计算方便的方法。具体而言，通过用应力驱动的局部和非局部相的积分混合来表示弹性曲率对尺寸效应进行建模，这导致了适定的结构问题。通过解析方法建立并积分了细长梁的相关非局部运动方程。所提出的策略应用于具有纳米技术意义的简单案例问题。通过将固有频率与经典弹性应变梯度模型得到的固有频率进行比较，对所提出的非局部方法进行了验证。所获得的结果可用于微纳机电系统（M/NEMS）的设计和优化。
