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Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory

机译：基于非局部应变和速度梯度理论的CNT纳米束的静态和动态响应

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This paper examines the length-scale effect on the nonlinear response of an electrically actuated Carbon Nanotube (CNT) based nano-actuator using a nonlocal strain and velocity gradient (NSVG) theory. The nano-actuator is modeled within the framework of a doubly-clamped Euler–Bernoulli beam which accounts for the nonlinear von-Karman strain and the electric actuating forcing. The NSVG theory includes three length-scale parameters which describe two completely different size-dependent phenomena, namely, the inter-atomic long-range force and the nano-structure deformation mechanisms. Hamilton’s principle is employed to obtain the equation of motion of the nonlinear nanobeam in addition to its respective classical and non-classical boundary conditions. The differential quadrature method (DQM) is used to discretize the governing equations. The key aim of this research is to numerically investigate the influence of the nonlocal parameter and the strain and velocity gradient parameters on the nonlinear structural behavior of the carbon nanotube based nanobeam. It is found that these three length-scale parameters can largely impact the performance of the CNT based nano-actuator and qualitatively alter its resultant response. The main goal of this investigation is to understand the highly nonlinear response of these miniature structures to improve their overall performance.
机译：本文使用非局部应变和速度梯度（NSVG）理论研究了长度尺度效应对基于碳纳米管（CNT）的电驱动碳纳米管的非线性响应的影响。纳米驱动器是在双重夹紧的Euler–Bernoulli梁的框架内建模的，该梁负责非线性von-Karman应变和电驱动力。 NSVG理论包括三个长度尺度参数，描述了两个完全不同的尺寸相关现象，即原子间长程力和纳米结构变形机制。除了其各自的经典和非经典边界条件外，还采用汉密尔顿原理来获得非线性纳米束的运动方程。微分求积法（DQM）用于离散控制方程。这项研究的主要目的是数值研究非局部参数以及应变和速度梯度参数对碳纳米管基纳米束非线性结构行为的影响。发现这三个长度尺度参数可以极大地影响基于CNT的纳米致动器的性能并定性地改变其结果响应。这项研究的主要目的是了解这些微型结构的高度非线性响应，以改善其整体性能。

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