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首页> 外文期刊>Physica, B. Condensed Matter >Pull-in instability analysis of rectangular nanoplate based on strain gradient theory considering surface stress effects
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Pull-in instability analysis of rectangular nanoplate based on strain gradient theory considering surface stress effects

机译：基于应变梯度理论考虑表面应力效应的矩形纳米板的拉伸稳定性分析

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In this study, a model is developed based on strain gradient, considering surface stress effect. Then, higher-order nonlinear governing equations and corresponding boundary condition for a hydrostatically and electrostatically actuated rectangular nanoplate are obtained using principle of minimum potential energy. The derived nonlinear differential equations are linearized by step-by-step linearization method, and then the obtained linear equations are discretized by generalized differential quadrature (GDQ) method. The effects of three length scale parameters, boundary conditions, thickness of nanoplate, and surface material properties on pull-in instability behavior are investigated. The obtained results demonstrate that the effects of length scale parameter can influence pull-in instability, and for greater amounts of length scale parameter, higher amounts of voltage are concluded.
机译：在本研究中，考虑到表面应力效应，基于应变梯度开发了一种模型。 然后，使用最小势能的原理获得高阶非线性控制方程和用于静电和静电致动的矩形纳米层板的相应边界条件。 通过逐步的线性化方法，衍生的非线性微分方程是线性化的，然后通过广义差分正交（GDQ）方法离散地分离所获得的线性方程。 研究了三个长度参数，边界条件，纳米板的厚度和表面材料特性的影响进行了研究。 所得结果表明，长度比率参数的影响可以影响拉出的不稳定性，并且对于更大量的长度比例，得出较高量的电压。

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