This work investigates the electromechanical response and pull-in instability of an electrostatically-actuated CNT tweezer taking into consideration a TPNL constitutive behavior of the CNTs as well as the intermolecular forces, both of which provide a significant contribution at the nanoscale. The nonlocal response of the material introduces two additional parameters in the formulation, which are effective in capturing the size effects observed at the nanoscale. The problem is governed by a nonlinear integrodifferential equation, which can be reduced to a sixth-order nonlinear ODE with two additional boundary conditions accounting for the nonlocal effects near to the CNT edges. A simplified model of the device is proposed based on the assumption of a linear or parabolic distribution of the loading acting on the CNTs. This assumption allows us to formulate the problem in terms of a linear ODE subject to two-point boundary conditions, which can be solved analytically. The results are interesting for MEMS and NEMS design. They show that strong coupling occurs between the intermolecular forces and the characteristic material lengths as smaller structure sizes are considered. Considering the influence of the nonlocal constitutive behavior and intermolecular forces in CNT tweezers will equip these devices with reliability and functional sensitivity, as required for modern engineering applications.

这项工作研究了静电驱动 CNT 镊子的机电响应和拉入不稳定性，同时考虑了 CNT 的 TPNL 本构行为以及分子间力，这两者都在纳米尺度上做出了重大贡献。材料的非局部响应在配方中引入了两个附加参数，这些参数可有效捕获在纳米尺度上观察到的尺寸效应。该问题由非线性积分微分方程控制，该方程可以简化为六阶非线性常微分方程，并具有两个额外的边界条件来解释 CNT 边缘附近的非局部效应。基于作用于碳纳米管的负载呈线性或抛物线分布的假设，提出了该装置的简化模型。这一假设使我们能够根据两点边界条件的线性常微分方程来表述问题，并且可以通过解析方式求解。结果对于MEMS 和 NEMS 设计来说很有趣。他们表明，当考虑较小的结构尺寸时，分子间力和特征材料长度之间会发生强耦合。考虑碳纳米管镊子中非局域本构行为和分子间力的影响，将使这些器件具有现代工程应用所需的可靠性和功能灵敏度。