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首页> 外文期刊>International Journal of Mechanical Sciences >The influence of dispersion forces on the size-dependent pull-in instability of general cantilever nano-beams containing geometrical non-linearity
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The influence of dispersion forces on the size-dependent pull-in instability of general cantilever nano-beams containing geometrical non-linearity

机译：色散力对包含几何非线性的一般悬臂纳米光束尺寸依赖的拉入不稳定性的影响

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摘要

While, the effects of ground electrode architecture on the vibration response and instability of nano-switches have considered in a few studies, no attention has been paid to study the dispersion effects in these general nano-structures. Herein, the static and dynamic pull-in instability of a general beam-type nano-electromechanical system in the presence of quantum vacuum fluctuation (Casimir), intermolecular (van der Waals) and piecewise electrostatic attractions are investigated. To this aim, the impacts of size-dependent, fringing field, surface elasticity, residual surface stress, the geometrically nonlinear deformation as well as the location/length of the actuated substrate plate are also considered. The nonlinear governing equations of nano-cantilevers are derived using Hamilton's principle. After validation of the results by previous available numerical results, the pull-in voltages and fundamental natural frequencies of the actuated nano-beam are achieved numerically using the step-by-step linearization method. It is found that the fundamental natural frequency is enhanced significantly by increasing the surface elasticity, residual surface stress and length scale.
机译：尽管在一些研究中已经考虑了接地电极架构对纳米开关的振动响应和不稳定性的影响，但并未关注研究这些一般纳米结构中的色散效应。在此，研究了在存在量子真空波动（Casimir），分子间（范德华力）和分段静电引力的情况下，一般的束型纳米机电系统的静态和动态引入不稳定性。为此，还考虑了尺寸依赖性，边缘场，表面弹性，残余表面应力，几何非线性变形以及被致动基板的位置/长度的影响。利用汉密尔顿原理导出了纳米悬臂梁的非线性控制方程。在通过先前可用的数值结果验证了结果之后，使用逐步线性化方法以数值方式获得了被驱动纳米束的引入电压和基本固有频率。发现通过增加表面弹性，残余表面应力和长度标度可以显着提高基本固有频率。

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