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首页> 外文期刊>International journal of non-linear mechanics >A geometrically non-linear plate model including surface stress effect for the pull-in instability analysis of rectangular nanoplates under hydrostatic and electrostatic actuations
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A geometrically non-linear plate model including surface stress effect for the pull-in instability analysis of rectangular nanoplates under hydrostatic and electrostatic actuations

机译:包含表面应力效应的几何非线性板模型,用于静水和静电作用下矩形纳米板的拉入不稳定性分析

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摘要

Presented herein is a comprehensive investigation on the size-dependent pull-in instability of geometrically non-linear rectangular nanoplates including surface stress effects undergoing hydrostatic and electrostatic actuations. To this end, based on the Gurtin-Murdoch theory, a non-classical continuum plate model capable of incorporating size-effects is developed; then, by means of the principle of virtual work, the governing equations of the actuated nanoplate are obtained. Subsequently, the generalized differential quadrature (GDQ) method is used to discretize the governing equations and associated boundary conditions, before solving numerically by the pseudo arc-length algorithm. Finally, the influences of important parameters including the geometrical non-linearity, thickness of the nanoplate, surface elastic modulus, residual surface stress and boundary conditions on the pull-in behavior of the actuated nanoplate are thoroughly studied. In addition, the effect of the material on the pull-in voltage and pressure is investigated by comparing the results obtained from nanoplates made of two different materials including aluminum (Al) and silicon (Si).
机译:本文介绍的是对几何非线性矩形纳米板的尺寸相关的拉入不稳定性的全面研究,其中包括经历静液压和静电驱动的表面应力效应。为此,基于古尔丁-默多克理论,开发了一种能够结合尺寸效应的非经典连续体板模型。然后,通过虚功原理,得到了被驱动纳米板的控制方程。随后,在用伪弧长算法进行数值求解之前,使用广义差分正交(GDQ)方法离散化控制方程和相关的边界条件。最后,深入研究了重要参数的影响,包括几何非线性,纳米板的厚度,表面弹性模量,残余表面应力和边界条件对被驱动的纳米板的拉入行为的影响。另外,通过比较由两种不同材料制成的纳米板(包括铝(Al)和硅(Si))获得的结果,研究了材料对吸合电压和压力的影响。

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